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Sacred Geometry: visualization of symbols with Augmented Reality (AR) and Virtual Reality (VR) in A-frame

author: Paulo Henrique Siqueira - Universidade Federal do Paraná
contact: paulohscwb@gmail.com
versão em português

Sacred Geometry symbols

The mathematical structures used in Sacred Geometry can be found in the arts, architecture and even in our DNA. These structures are everywhere, and serve as a link between analytical thinking and the intuitive side, or between science and spirituality. This work shows Sacred Geometry symbols modeled in 2D and 3D, with views that can be accessed with Augmented Reality resources and also in immersive Virtual Reality rooms.

Augmented Reality  |  3D Models  |  Home


Immersive rooms

🔗 room 1  |  🔗 room 2  |  🔗 room 3  |  🔗 room 4


Augmented Reality

To view Sacred Geometry symbols in AR, simply visit the pages indicated in the 3D solid models using any browser with a webcam device (smartphone, tablet or notebook).
Access to the VR pages is done by clicking on the blue circle that appears on top of the marker.

Augmented Reality to Sacred Geometry symbols

Augmented Reality to Sacred Geometry symbols


3D models

1. Vesica Piscis

Vesica Piscis


It is a geometric form created by the intersection of two identical circles, where the center of each circle lies on the perimeter of the other. The Vesica Piscis is used in Venn Diagrams and emblematic seals and has symbolic meanings such as the “Jesus fish”, the intricate Triquetra that appears in Celtic art, the Reuleaux triangle and the Mandorla that symbolizes the opposites union and the intersection of terrestrial and celestial kingdoms.


2. Vesica Piscis 3D

Vesica Piscis 3d


In this 3D representation we have the model with 8 circles around the smallest circle. These circles represent plane sections of the spheres that symbolize the extension of the Vesica Piscis into 3 dimensions.


3. Seed of Life

Seed of Life


Sacred Geometry is centered on the symbol made up of 7 intertwined circles, called the Seed of Life. It is a representation that signifies the 7 days in which the world was created, and that appears in many buildings and religious texts. Each overlapping circle means a cycle or cell interconnecting vital processes.


4. Seed of Life 3D

Seed of Life 3D


This symbol has been used reverently and its design gives a sense of protection. Many use it as jewelry or decoration, believing that it brings positivity, warding off negative things. In this representation we have the 3D model built with 3 rotations around one of the models.


5. Seed of Life 3D v2

Seed of Life 3D


This symbol also appears on some tapestries and ruins of ancient temples, signifying the design of the universe. In this representation we have the 3D model built with circles forming 2 spherical caps.


6. Seed of Life 3D v3

Seed of Life 3D


Each overlapping circle of this symbol signifies a cycle or cell interconnecting vital processes. In this representation we have the 3D model built with 6 circles rotated around axes that pass through the central circle.


7. Egg of Life

Egg of Life


It is considered a central stage in the transformative sequence of evolution and is associated with the notions of rebirth and fertility. The Egg of Life is an evolution of the Seed of Life: adding 6 circles to the Fundamental Seed we have the symbol of the Egg of Life.


8. Egg of Life 3D

Egg of Life 3D


Analyzing another dimension in its formation, the Egg of Life can be visualized through the eight tangent spheres of Metatron’s Cube. This connection shows the versatility and intertwined relationships of Sacred Geometric symbols.


9. Flower of Life

Flower of Life


The Flower of Life symbol is constructed of 19 interlocking circles, surrounded by a larger circle. It is a well-known representation that appears in the pyramids of Egypt and in buildings in Greece, China, England, Tibet and Israel. The Flower of Life is believed to represent the cosmic blueprint, which encodes the design of each atomic structure.


10. Flower of Life 3D

Flower of Life 3D


Within the design of the Flower of Life symbol are other Sacred Geometry patterns: the Egg of Life, the Seed of Life, and the Tree of Life. In this representation we have the 3D model built with 3 rotations around one of the models.

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11. Flower of Life v2

Flower of Life


The Flower of Life symbol can be extended and constructed with 37 interlocking circles, surrounded by a larger circle. Several circles of this symbol extend beyond the border, and another Sacred Geometry symbol emerges from this extended version: the Fruit of Life.


12. Flower of Life 3D v2

Flower of Life 3D


Within the design of the Flower of Life symbol are other Sacred Geometry patterns: the Egg of Life, the Seed of Life, and the Tree of Life. In this representation we have the 3D model built with 3 rotations around one of the models.


13. Tree of Life

Tree of Life


The Tree of Life symbol represents a connection with everything, including the things we cannot see, reminding us that we are not alone in the universe. The 10 spheres of this symbol are called “Sephiroth”, they mean emanation and are connected by different paths. The bottom Sephira represents the material world and the top Sephira represents cosmic consciousness. The other Sephiras represent the qualities of the soul and are divided into three pillars: severity, gentleness and mercy.


14. Fruit of Life

Fruit of Life


The symbol of the Fruit of Life is formed by 13 interconnected spheres and can be considered one of the most powerful in Sacred Geometry. It appears hidden within the Flower of Life symbol and can be used to create the 78 lines of the Metatron’s Cube symbol.


15. Fruit of Life 3D

Fruit of Life 3D


The 13 spheres of the Fruit of Life symbol symbolize feminine aspects of creation, which provide the basis for the 78 masculine rays of creation. It is considered a harmonious interaction that gives rise to existence. In this representation we have the symbol of the Fruit of Life in 3D.


16. Golden spiral

Golden Spiral


We define that the numbers a and b are in the golden ratio when (a + b) / a = a / b = Φ. Putting this ratio in two dimensions, we can construct golden rectangles (or triangles), where their sides are in the golden ratio. This proportion is not just a mathematical notion, but also a symbol of beauty, harmony and perfection in art, science and nature. This term was introduced by Leonardo da Vinci as a proportion of “ideal perfect body” and appears in the petals of various flowers, sunflower seed arrangements, pine cone patterns and romanesco broccoli.


17. Metatron's Cube

Metatron's Cube


Metatron is a seraphim archangel of medieval Islamic, Jewish and Christian tradition. Artistic depictions almost always depict Archangel Metatron holding or near a mysterious cube. The construction of Metatron’s Cube involves 13 circles housed within a larger circle. The lines that join the centers of these circles define the Metaton Cube.


18. Metatron's Cube 3D

Metatron's Cube 3D


Within the geometric shape defined by the Metatron Cube we can find the five Platonic solids, positioning the Metatron Cube as a fundamental bridge that transforms two-dimensional realities into three-dimensional realms. In this representation we have the Metaton cube in 3D.


19. Grid of life

Grid of life


The symbol of the Grid of Life, also called tetrahedron 64, contrasts the Star Tetrahedron with the Flower of Life. We have 64 tetrahedra that form the Grid of Life symbol, which can be overlayed on the Flower of Life symbol, with the circles symbolizing the vastness of space and the interconnected lines indicating where space converges over time.


20. Grid of life 3D

Grid of life 3D


Much of the fascination of the Grid of Life symbol comes from the number 64, which appears recurrently in nature, constructions and mysticism. Some examples that we can cite are: in computing, where the number of 64 bits of memory is essential; in the classic games of chess or checkers, which have 64 squares on their boards; or in sacred texts of Hinduism, which references 64 tantras. In this example, we have the Grid of life modeled in 3D.

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21. Torus

Torus


The structure of a torus, similar to a vortex, is considered to be the initial form emanating from the Genesis pattern. The representation of the torus in Sacred Geometry reflects the spiral flow of energy. This flow is not unidirectional, oscillating on the torus surface and spiraling within its core.


22. Ring torus

Ring torus


The ring torus represents the classic donut shape, which embodies continuity and wholeness. This symbol represents the cycles of life, which maintain their form and vitality regardless of where they begin or end.


23. Spindle torus

Spindle torus


The spindle torus represents an invisible force acting at opposite ends. It is a powerful symbol of balance, tension and duality, which represents what exists in the universe and within ourselves.

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24. Merkaba star

Merkaba star


The Merkaba star symbol or Star Tetrahedron or Star of Davi has the meaning translated as “light, spirit and body”. It is the fusion of 2 identical tetrahedra that are interconnected through rotations in opposite directions. The intersection of these tetrahedra creates an energy field that radiates immense power. In this example, we have the Merkaba star modeled in 3D.


25. Vector Equilibrium

Vector Equilibrium


Vector Equilibrium is considered the initial reference of energetic mathematics and the zero pulsation of vector balance. This is the underlying structure of the Torus, considered the geometric shape capable of transforming energy into matter.


26. Vector Equilibrium 3D

Vector Equilibrium 3D


Vector Equilibrium energy lines have equal length and strength and can be considered the only geometric shape that has all equal and balanced forces. In this representation we have the Vector Equilibrium modeled in 3D, which represents a set formed by the edges and main diagonals of the Archimedean Cuboctahedron.


27. Vector Equilibrium 3D v2

Vector Equilibrium 3D


According to Buckminster Fuller, Vector Equilibrium is the closest form we will ever know to God and eternity. In this representation we have the Vector Equilibrium modeled in 3D, which represents a set formed by the main diagonals and the circles circumscribed by the hexagonal sections of the Archimedes Cuboctahedron.


28. Vector Equilibrium 3D v3

Vector Equilibrium 3D


Vector Equilibrium is considered as the underlying structure of the Torus, also known as the geometric shape capable of transforming energy into matter. In this representation we have the 3D model built with 3 rotations around one of the models.


29. Sri Yantra

Sri Yantra


The Sri Yantra is a geometric draw that represents the union of the masculine and feminine energies of the universe. It is one of the most complex and powerful forms of Sacred Geometry. This symbol has nine interlocking triangles that surround a central point and guide the mind to higher states of consciousness. Focusing on the central point, called the “bindu”, helps to access a deep connection with universal energy. The “bindu” symbolizes the origin of the universe, the point from which all creation emanates, and around which reality is organized. The word “Sri” means wealth and prosperity, and “Yantra” means instrument.



30. Sri Yantra 3D

Sri Yantra 3D


The Sri Yantra consists of four triangles pointing upwards (masculine energy, Shiva) and five pointing downwards (feminine energy, Shakti). The intersections between the triangles form 43 smaller triangles, which mirror the cosmos. Each smaller triangle is related to an intelligence or archetype. The Sri Yantra is one of the most complex and powerful forms of Sacred Geometry. The word “Sri” means wealth and prosperity, and “Yantra” means instrument.


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31. Triquetra

Triquetra


The triquetra is a geometric symbol that represents eternity, trinity and unity. It is made up of three intertwined arches, with no beginning or end. The word triquetra comes from the Latin triquætra (three points). The symbol is similar to a triskelion (a Celtic symbol that represents the three worlds: the celestial, physical and spiritual). The triquetra is present in many cultures and traditions.



32. Triquetra 3D

Triquetra 3D



The triquetra is used in Christianity, magic and the occult in general. This symbol is associated with trinity concepts, such as life, death and rebirth, or earth, sea and sky. The triquetra represents infinity in three dimensions and can be found in many works of art, monuments, films, popular series, pendants, mandalas and paintings.



33. Lotus of Life

Lotus of Life



The Lotus of Life is a Sacred Geometry symbol derived from the Seed of Life and Flower of Life symbols. This symbol contains 12 petals, and can be obtained by rotating a Seed of Life symbol around the center at an angle of 30º. The center of the Lotus represents the zero point or center of life and creation. From this central point, all life (represented by the petals) springs forth and all life is connected to this point.



34. Lotus of Life 3D

Lotus of Life 3D



It is believed that by contemplating or meditating using the Lotus of Life, one can experience a sense of peace, tranquility and enlightenment. This symbol contains 12 petals, and can be obtained by rotating a Seed of Life symbol around the center at an angle of 30º. The center of the Lotus represents the zero point or center of life and creation. From this central point, all life (represented by the petals) springs forth and all life is connected to this point.



35. Lotus of Life 3D v2

Lotus of Life 3D



This symbol contains 12 petals, and can be obtained by rotating a Seed of Life symbol around the center at an angle of 30º. The center of the Lotus represents the zero point or center of life and creation. From this central point, all life (represented by the petals) springs forth and all life is connected to this point. It is believed that by contemplating or meditating using the Lotus of Life, one can experience a sense of peace, tranquility and enlightenment.



36. Lotus of Life 3D v3

Lotus of Life 3D



The center of the Lotus represents the zero point or center of life and creation. From this central point, all life (represented by the petals) springs forth and all life is connected to this point. It is believed that by contemplating or meditating using the Lotus of Life, one can experience a sense of peace, tranquility and enlightenment. This symbol contains 12 petals, and can be obtained by rotating a Seed of Life symbol around the center at an angle of 30º.



37. Unicursal Hexagram

Unicursal Hexagram



The unicursal hexagram is a six-pointed star that can be drawn in one continuous line. It is a symbol of Sacred Geometry that signifies unity, the continuous flow of energy and life, and the interconnectedness of all things. The unicursal hexagram is often depicted with its lines intersecting to form a knot. This symbol can be drawn inside a circle with the points touching. This is an example of a shape discussed in Blaise Pascal’s work “Hexagrammum Mysticum” (1639).



38. The Lily

The Lily



The Lily has been used in Sacred Geometry to symbolize purity, fertility, motherhood, and sexuality. The petals and stamens of the lily create an organic geometry that can be seen in mandalas. The symbol for the Lily represents the flower of the same name, placed within a triangle, with its petals extending toward three points. Another triangle forms a 60º angle to the first triangle, and is formed by three smaller petals.



39. The Lily 3D

The Lily 3D



The symbol for the Lily represents the flower of the same name, placed within a triangle, with its petals extending toward three points. Another triangle forms a 60º angle to the first triangle, and is formed by three smaller petals. The Lily has been used in Sacred Geometry to symbolize purity, fertility, motherhood, and sexuality. The petals and stamens of the lily create an organic geometry that can be seen in mandalas.



40. Golden Rectangles

Golden Rectangles



In Sacred Geometry, three interconnected golden rectangles represent the cosmos and the union of forces. The symbol formed by three interconnected golden rectangles can be constructed in two ways. We can define the sides of a golden rectangle as two opposite edges and the respective perpendicular diagonals of an icosahedron. The second way to construct this symbol is by choosing the lines with golden proportions that appear in the symbol of the Flower of Life.


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41. Golden Rectangles v2

Golden Rectangles



The symbol formed by three interconnected golden rectangles can be constructed in two ways. We can define the sides of a golden rectangle as two opposite edges and the respective perpendicular diagonals of an icosahedron. The second way to construct this symbol is by choosing the lines with golden proportions that appear in the symbol of the Flower of Life. In Sacred Geometry, three interconnected golden rectangles represent the cosmos and the union of forces.



42. Curved Merkaba

Curved Merkaba



The Merkaba is a sacred geometric symbol that represents the union of masculine and feminine energies and the integration of the earthly and cosmic realms. It is composed of two tetrahedrons rotating in opposite directions, forming a three-dimensional star. The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Merkaba. The geometric structure and symmetry of the Merkaba have captured the imagination of those interested in Sacred Geometry.



43. Curved Merkaba 3D

Curved Merkaba 3D



The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Merkaba. The geometric structure and symmetry of the Merkaba have captured the imagination of those interested in Sacred Geometry. The Merkaba is a sacred geometric symbol that represents the union of masculine and feminine energies and the integration of the earthly and cosmic realms. It is composed of two tetrahedrons rotating in opposite directions, forming a three-dimensional star.



44. Curved Merkaba v2

Curved Merkaba



The Merkaba is a sacred geometric symbol that represents the union of masculine and feminine energies and the integration of the earthly and cosmic realms. It is composed of two tetrahedrons rotating in opposite directions, forming a three-dimensional star. The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Merkaba. The geometric structure and symmetry of the Merkaba have captured the imagination of those interested in Sacred Geometry.



45. Curved Merkaba 3D v2

Curved Merkaba 3D



The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Merkaba. The geometric structure and symmetry of the Merkaba have captured the imagination of those interested in Sacred Geometry. The Merkaba is a sacred geometric symbol that represents the union of masculine and feminine energies and the integration of the earthly and cosmic realms. It is composed of two tetrahedrons rotating in opposite directions, forming a three-dimensional star.



46. Curved Merkaba 3D v3

Curved Merkaba 3D



The geometric structure and symmetry of the Merkaba have captured the imagination of those interested in Sacred Geometry. The Merkaba is a sacred geometric symbol that represents the union of masculine and feminine energies and the integration of the earthly and cosmic realms. It is composed of two tetrahedrons rotating in opposite directions, forming a three-dimensional star. The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Merkaba.



47. Curved Merkaba 3D v4

Curved Merkaba 3D



The Merkaba is a sacred geometric symbol that represents the union of masculine and feminine energies and the integration of the earthly and cosmic realms. It is composed of two tetrahedrons rotating in opposite directions, forming a three-dimensional star. The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Merkaba. The geometric structure and symmetry of the Merkaba have captured the imagination of those interested in Sacred Geometry.



48. Curved Metatron's Cube

Curved Metatron's Cube



Metatron’s Cube is a sacred geometric symbol that represents the structure of creation and the energetic balance of the universe. It consists of 13 circles and lines connecting their centers. The cube is named after Archangel Metatron, who is believed to oversee the flow of energy in the cube. The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Metatron’s Cube.



49. Curved Metatron's Cube 3D

Curved Metatron's Cube 3D



The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Metatron’s Cube. Metatron’s Cube is a sacred geometric symbol that represents the structure of creation and the energetic balance of the universe. It consists of 13 circles and lines connecting their centers. The cube is named after Archangel Metatron, who is believed to oversee the flow of energy in the cube.



50. Curved Metatron's Cube 3D v2

Curved Metatron's Cube 3D



Metatron’s Cube is a sacred geometric symbol that represents the structure of creation and the energetic balance of the universe. It consists of 13 circles and lines connecting their centers. The cube is named after Archangel Metatron, who is believed to oversee the flow of energy in the cube. The symbol with the replacement of edges by arcs passing through the vertices of the tetrahedrons represents the curved Metatron’s Cube.


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51. Pentagram

Pentagram



In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites.



52. Hexagram

Hexagram



In Sacred Geometry, the hexagram (six-pointed star) symbolizes the union of opposites and cosmic balance. It’s formed by two interlocking equilateral triangles, one pointing up and the other down, often representing the masculine and feminine, or earth and sky, in harmonious balance. The hexagram is found in various religious traditions, including Jewish, Islamic, and Indic (Hindu, Buddhist, Jain). The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites.



53. Heptagram Grid

Heptagram Grid



The heptagram, or seven-pointed star, has many sacred meanings in various belief systems, including Christianity, Judaism, Islam, alchemy, and paganism. In Christianity, the heptagram symbolizes the seven days of creation, perfection, and God, and is considered a traditional symbol for warding off evil. In Judaism, the heptagram represents the seventh sphere of the Tree of Life of Kabbalistic Judaism. By considering the combinations of 3 by 3 and 2 by 2 vertices, we create the Heptagram Grid.



54. Octagram Grid

Octagram Grid



In Sacred Geometry, the octagon and the star-shaped octogram symbolize the union of the circle and the square, which represent heaven and earth, respectively. These shapes are believed to balance and unify the two entities. The octagon symbolizes protection, good fortune, and rebirth. The eight-pointed star symbolizes celestial entities such as the moon, sun, planets, stars, and comets. Considering the 3 by 3 and 2 by 2 vertex combinations, we created the Octagram Grid.



55. Enneagram Grid

Enneagram Grid



The enneagram is a symbol often considered Sacred Geometry, as it integrates geometric shapes and laws with the idea of ​​personality types. Formed by three overlapping triangles, it can represent a trinity of trinities, a symbol of holiness or spiritual wholeness. We can also use an enneagram as a symbol of universal wholeness. The enneagram is used in personal growth, therapy, spirituality, education, and business. By considering the combinations of 4 by 4, 3 by 3 and 2 by 2 vertices, we create the Enneagram Grid.



56. Decagram Grid

Decagram Grid



In Sacred Geometry, the decagram, or 10-pointed star, symbolizes the union of opposites, new beginnings, and the ten Sephirot of Kabbalah. It is composed of two overlapping pentagrams. Geometric shapes in Sacred Geometry, such as the decagon, embody principles of mathematical harmony, proportion, and symmetry. These principles often reflect the order and balance of the universe. By considering the combinations of 4 by 4, 3 by 3 and 2 by 2 vertices, we create the Decagram Grid.



57. Undecagram Grid

Undecagram Grid



The undecagram, also called the hendecagram, is a symbol that has been used on jewelry, necklaces and other items, and can be associated with various symbolic meanings, including balance, truth, and the archangel Uriel. In this symbol, we can see pentagrams superimposed on hexagrams. While not as prominent as other shapes like the hexagon or triangle, the hendecagram’s unique eleven sides can represent a sense of completeness or interconnectedness, with the number 11 often associated with enlightenment and divine guidance. By considering the combinations of 5 by 5, 4 by 4, 3 by 3 and 2 by 2 vertices, we create the Undecagram Grid.



58. Dodecagram Grid

Dodecagram Grid



In Sacred Geometry, the dodecagram, or 12-pointed star, symbolizes creation, balance, harmony, and the cyclical nature of existence. This symbol has been used in many belief systems, including Judaism and Christianity. In Judaism, the dodecagram symbolizes the 12 tribes of Israel. In Christianity, the dodecagram symbolizes the 12 disciples. The dodecagram is an ancient symbol with many meanings. By considering the combinations of 5 by 5, 4 by 4, 3 by 3 and 2 by 2 vertices, we create the Dodecagram Grid.



59. Dodecagram Grid 3D

Dodecagram Grid 3D



This symbol has been used in many belief systems, including Judaism and Christianity. In Judaism, the dodecagram symbolizes the 12 tribes of Israel. In Christianity, the dodecagram symbolizes the 12 disciples. The dodecagram is an ancient symbol with many meanings. By considering the combinations of 5 by 5, 4 by 4, 3 by 3 and 2 by 2 vertices, we create the Dodecagram Grid. In Sacred Geometry, the dodecagram, or 12-pointed star, symbolizes creation, balance, harmony, and the cyclical nature of existence.



60. Tridecagram Grid

Tridecagram Grid 3D



The tridecagram, or 13-pointed star, is a figure of Sacred Geometry that represents cycles, thresholds and fundamental cosmic patterns. The tridecagram is considered a challenge to creation and hidden divine knowledge, as the exact construction of a regular tridecagon is impossible using only a ruler and compass. The number 13 is considered sacred in several traditions, symbolizing completion and new beginnings. This number is linked to lunar cycles and the structure of the universe, as in the symbol of the Fruit of Life. The tridecagram’s symbolism is characterized by its connection to the mysteries of prime numbers, divine and hidden knowledge, and something simple that lies beyond human comprehension. The tridecagram is associated with concepts of immortality in a mystical context and can be found in symbolic representations, such as the center of the labyrinth of Chartres Cathedral. By considering the combinations of 6 by 6, 5 by 5, 4 by 4, 3 by 3 and 2 by 2 vertices, we create the Tridecagram Grid.



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61. Fractal Pentagram

Fractal Pentagram



In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites.



62. Fractal Pentagram v2

Fractal Pentagram



The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery.



63. Fractal Pentagram v3

Fractal Pentagram



The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole.



64. Pentagram

Pentagram



In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites.



65. Pentagram and the Golden Spiral

Golden Spiral


We define that the numbers a and b are in the golden ratio when (a + b) / a = a / b = Φ. Putting this ratio in two dimensions, we can construct golden triangles (or rectangles), where their sides are in the golden ratio. This term was introduced by Leonardo da Vinci as a proportion of “ideal perfect body” and appears in the petals of various flowers, sunflower seed arrangements, pine cone patterns and romanesco broccoli. This proportion is not just a mathematical notion, but also a symbol of beauty, harmony and perfection in art, science and nature.


66. Pentagram and the Golden Spiral

Pentagram and the Golden Spiral



The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery.



67. Pentagram and the Golden Spiral v2

Pentagram and the Golden Spiral



In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites.



68. Fractal Pentagram and the Golden Spiral

Pentagram Fractal and the Golden Spiral



The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole.



69. Fractal Pentagram and the Golden Spiral v2

Pentagram Fractal and the Golden Spiral



In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole.



70. Curved Pentagram

Curved Pentagram



In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites.



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71. Pentagram

Pentagram



This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit.



72. Fractal Pentagram v3

Fractal Pentagram



The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery.



73. Fractal Pentagram v4

Fractal Pentagram



The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery. The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole.



74. Venus Flower

Venus Flower



The Venus Flower, also known as the Rose of Venus or the Pentagram of Venus, is a symbol of Sacred Geometry determined by the orbits of the planets Venus and Earth around the Sun. This pattern, observable over a period of 8 years, visually resembles a five-petaled rose and is associated with love, beauty and harmony. The Venus Flower is a symbol of love, beauty, and the interconnectedness of the cosmos. Each petal is said to represent a stage on the path to all-encompassing love.



75. Venus Flower v1

Venus Flower



Each petal is said to represent a stage on the path to all-encompassing love. The Venus Flower, also known as the Rose of Venus or the Pentagram of Venus, is a symbol of Sacred Geometry determined by the orbits of the planets Venus and Earth around the Sun. This pattern, observable over a period of 8 years, visually resembles a five-petaled rose and is associated with love, beauty and harmony. The Venus Flower is a symbol of love, beauty, and the interconnectedness of the cosmos.



76. Venus Flower v2

Venus Flower



This pattern, observable over a period of 8 years, visually resembles a five-petaled rose and is associated with love, beauty and harmony. The Venus Flower is a symbol of love, beauty, and the interconnectedness of the cosmos. Each petal is said to represent a stage on the path to all-encompassing love. The Venus Flower, also known as the Rose of Venus or the Pentagram of Venus, is a symbol of Sacred Geometry determined by the orbits of the planets Venus and Earth around the Sun.



77. Pentagram

Pentagram



The golden ratio is believed to represent a divine proportion and a harmonious relationship between different parts of a whole. The pentagram and the hexagram have been used in various religious and spiritual practices, representing harmony, balance, and the union of opposites. In Sacred Geometry, the pentagram (five-pointed star) represents the union of the five elements: air, fire, water, earth and spirit. This symbol is also linked to the golden ratio and is considered a symbol of balance, harmony and spiritual mastery.



78. Triangles

Triangles



In Sacred Geometry, triangles represent balance, harmony, and the intersection of three principles. Upward-facing triangles symbolize the elevation of consciousness, while inverted triangles represent feminine energy and reproduction. Triangles are believed to embody divine creation and balance, often associated with the Taoist concept of unity unfolding into duality. This symbol shows a spiral made of equilateral triangles, forming a kind of hyperboloid.



79. Squares

Squares



In Sacred Geometry, the square is considered a fundamental shape associated with stability, anchoring, and the four elements of nature. The square represents the fixed nature of matter and the foundations of physical reality. The four sides of a square are often associated with the four cardinal points, the four seasons, and the four Aristotelian elements (earth, water, air, and fire). This symbol represents a spiral composed of squares, forming a kind of hyperboloid.



80. Pentagons

Pentagons



In Sacred Geometry, pentagons, particularly the pentagram (the star formed by connecting the diagonals of a pentagon), symbolize fivefold symmetry and often represent harmony, unity, and the interconnectedness of things. Pentagons are also associated with the golden ratio and the Fibonacci sequence, which are considered fundamental principles of nature and the universe. This symbol represents a spiral composed of regular pentagons, forming a kind of hyperboloid.



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81. Hexagons

Hexagons



In Sacred Geometry, hexagons are often seen as symbols of balance, harmony, and the potential of life. Their symmetrical shape, with six equal sides and angles, represents stability and balance. Hexagons are also associated with the Flower of Life and the six-pointed star (Merkabah), both symbols of interconnection and divine creation. This symbol represents a spiral composed of regular hexagons, forming a kind of hyperboloid.



82. Heptagons

Heptagons



In Sacred Geometry, heptagons are associated with concepts such as the seven chakras, the seven days of the week or the seven heavens, depending on the interpretation. Heptagrams (seven-pointed stars formed by the extension of the sides of a heptagon) also have symbolic meaning, with different types of triangles and proportions related to their angles. This symbol represents a spiral composed of regular heptagons, forming a kind of hyperboloid.



83. Octagons

Octagons



In Sacred Geometry, the octagon is always seen as a symbol of unity and balance, arising from the combination of the circle (which represents the sky) and the square (which represents the earth). The octagon is believed to connect and harmonize these two elements. The octagon also has several symbolic meanings in different cultures and religions, including completeness, good luck and protection. This symbol represents a spiral composed of regular octagons, forming a kind of hyperboloid.



84. Enneagons

Enneagons



In Sacred Geometry, an enneagon is a geometric shape that symbolizes unity, completeness, balance, and the culmination of a cycle. It can also be represented as a nine-pointed star, known as an enneagram. The enneagon, along with other shapes such as the centered octogram, is used in various symbolic and spiritual interpretations within Sacred Geometry. This symbol represents a spiral composed of regular enneagons, forming a kind of hyperboloid.



85. Decagons

Decagons



In Sacred Geometry, a decagon symbolizes balance, harmony, and the interconnectedness of the universe. It is a more complex shape than some others, such as the pentagon, offering a richer symbolic landscape. The ten sides of the decagon can represent the ten commandments, the ten realms of the soul, or the ten fingers and toes of the human form, suggesting a connection between the spiritual and physical worlds. This symbol represents a spiral composed of regular decagons, forming a kind of hyperboloid.



86. Hypercube

Hypercube



A hypercube, also known as an octacoron or tesseract, is a geometric shape that can be visualized as a cube that extends beyond our three-dimensional reality. In Sacred Geometry, the hypercube is seen as a symbol of the union of matter and energy, representing the fourth dimension, the expansion of consciousness, and the connection to dimensions beyond our three-dimensional understanding. A hypercube is formed by eight interconnected cubes and can be represented by joining the vertices of two parallel cubes.



87. Hypercube 3D

Hypercube



In Sacred Geometry, the hypercube is seen as a symbol of the union of matter and energy, representing the fourth dimension, the expansion of consciousness, and the connection to dimensions beyond our three-dimensional understanding. A hypercube is formed by eight interconnected cubes and can be represented by joining the vertices of two parallel cubes. A hypercube, also known as an octacoron or tesseract, is a geometric shape that can be visualized as a cube that extends beyond our three-dimensional reality.



88. Hypercube 3D v1

Hypercube



A hypercube is formed by eight interconnected cubes and can be represented by joining the vertices of two parallel cubes. A hypercube, also known as an octacoron or tesseract, is a geometric shape that can be visualized as a cube that extends beyond our three-dimensional reality. In Sacred Geometry, the hypercube is seen as a symbol of the union of matter and energy, representing the fourth dimension, the expansion of consciousness, and the connection to dimensions beyond our three-dimensional understanding.



89. Hypercube 3D v2

Hypercube



A hypercube, also known as an octacoron or tesseract, is a geometric shape that can be visualized as a cube that extends beyond our three-dimensional reality. In Sacred Geometry, the hypercube is seen as a symbol of the union of matter and energy, representing the fourth dimension, the expansion of consciousness, and the connection to dimensions beyond our three-dimensional understanding. A hypercube is formed by eight interconnected cubes and can be represented by joining the vertices of two parallel cubes.



90. Golden Rectangles and Spirals

Golden Rectangles



The symbol formed by three interconnected golden rectangles can be constructed in two ways. We can define the sides of a golden rectangle as two opposite edges and the respective perpendicular diagonals of an icosahedron. The second way to construct this symbol is by choosing the lines with golden proportions that appear in the symbol of the Flower of Life. In Sacred Geometry, three interconnected golden rectangles represent the cosmos and the union of forces.



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91. Golden Rectangles and Spirals v2

Golden Rectangles



In Sacred Geometry, three interconnected golden rectangles represent the cosmos and the union of forces. The symbol formed by three interconnected golden rectangles can be constructed in two ways. We can define the sides of a golden rectangle as two opposite edges and the respective perpendicular diagonals of an icosahedron. The second way to construct this symbol is by choosing the lines with golden proportions that appear in the symbol of the Flower of Life.


92. Pentagons

Pentagons



In Sacred Geometry, pentagons, particularly the pentagram (the star formed by connecting the diagonals of a pentagon), symbolize fivefold symmetry and often represent harmony, unity, and the interconnectedness of things. Pentagons are also associated with the golden ratio and the Fibonacci sequence, which are considered fundamental principles of nature and the universe. This symbol represents a pattern of regular pentagons, forming a kind of Flower of Life.



93. Hexagons

Hexagons



In Sacred Geometry, hexagons are often seen as symbols of balance, harmony, and the potential of life. Their symmetrical shape, with six equal sides and angles, represents stability and balance. Hexagons are also associated with the Flower of Life and the six-pointed star (Merkabah), both symbols of interconnection and divine creation. This symbol represents a pattern of regular hexagons, forming a kind of Flower of Life.



94. Heptagons

Heptagons



In Sacred Geometry, heptagons are associated with concepts such as the seven chakras, the seven days of the week or the seven heavens, depending on the interpretation. Heptagrams (seven-pointed stars formed by the extension of the sides of a heptagon) also have symbolic meaning, with different types of triangles and proportions related to their angles. This symbol represents a pattern of regular heptagons, forming a kind of Flower of Life.



95. Octagons

Octagons



In Sacred Geometry, the octagon is always seen as a symbol of unity and balance, arising from the combination of the circle (which represents the sky) and the square (which represents the earth). The octagon is believed to connect and harmonize these two elements. The octagon also has several symbolic meanings in different cultures and religions, including completeness, good luck and protection. This symbol represents a pattern of regular octagons, forming a kind of Flower of Life.



96. Enneagons

Enneagons



In Sacred Geometry, an enneagon is a geometric shape that symbolizes unity, completeness, balance, and the culmination of a cycle. It can also be represented as a nine-pointed star, known as an enneagram. The enneagon, along with other shapes such as the centered octogram, is used in various symbolic and spiritual interpretations within Sacred Geometry. This symbol represents a pattern of regular enneagons, forming a kind of Flower of Life.



97. Decagons

Decagons



In Sacred Geometry, a decagon symbolizes balance, harmony, and the interconnectedness of the universe. It is a more complex shape than some others, such as the pentagon, offering a richer symbolic landscape. The ten sides of the decagon can represent the ten commandments, the ten realms of the soul, or the ten fingers and toes of the human form, suggesting a connection between the spiritual and physical worlds. This symbol represents a pattern of regular decagons, forming a kind of Flower of Life.



98. Pentagons

Pentagons



In Sacred Geometry, pentagons, particularly the pentagram (the star formed by connecting the diagonals of a pentagon), symbolize fivefold symmetry and often represent harmony, unity, and the interconnectedness of things. Pentagons are also associated with the golden ratio and the Fibonacci sequence, which are considered fundamental principles of nature and the universe. This symbol represents a pattern of regular pentagons, forming a kind of Flower of Life.



99. Hexagons

Hexagons



In Sacred Geometry, hexagons are often seen as symbols of balance, harmony, and the potential of life. Their symmetrical shape, with six equal sides and angles, represents stability and balance. Hexagons are also associated with the Flower of Life and the six-pointed star (Merkabah), both symbols of interconnection and divine creation. This symbol represents a pattern of regular hexagons, forming a kind of Flower of Life.



100. Heptagons

Heptagons



In Sacred Geometry, heptagons are associated with concepts such as the seven chakras, the seven days of the week or the seven heavens, depending on the interpretation. Heptagrams (seven-pointed stars formed by the extension of the sides of a heptagon) also have symbolic meaning, with different types of triangles and proportions related to their angles. This symbol represents a pattern of regular heptagons, forming a kind of Flower of Life.



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101. Octagons

Octagons



In Sacred Geometry, the octagon is always seen as a symbol of unity and balance, arising from the combination of the circle (which represents the sky) and the square (which represents the earth). The octagon is believed to connect and harmonize these two elements. The octagon also has several symbolic meanings in different cultures and religions, including completeness, good luck and protection. This symbol represents a pattern of regular octagons, forming a kind of Flower of Life.



102. Enneagons

Enneagons



In Sacred Geometry, an enneagon is a geometric shape that symbolizes unity, completeness, balance, and the culmination of a cycle. It can also be represented as a nine-pointed star, known as an enneagram. The enneagon, along with other shapes such as the centered octogram, is used in various symbolic and spiritual interpretations within Sacred Geometry. This symbol represents a pattern of regular enneagons, forming a kind of Flower of Life.



103. Decagons

Decagons



In Sacred Geometry, a decagon symbolizes balance, harmony, and the interconnectedness of the universe. It is a more complex shape than some others, such as the pentagon, offering a richer symbolic landscape. The ten sides of the decagon can represent the ten commandments, the ten realms of the soul, or the ten fingers and toes of the human form, suggesting a connection between the spiritual and physical worlds. This symbol represents a pattern of regular decagons, forming a kind of Flower of Life.



104. Yin and Yang

Yin and Yang



Yin and Yang describe fundamental opposing and complementary forces found in all things. Yin is the principle of absorption, night, and the moon, representing passivity. Yang is the principle of light, day, and the sun, representing activity. These Taoist concepts refer to the duality of everything in the universe. This model represents the Yin and Yang symbol using the Flower of Life symbol.



105. Flower of life with the Tree of life

Flower of life with the Tree of life


The Tree of Life symbol represents a connection with everything, including the things we cannot see, reminding us that we are not alone in the universe. The 10 spheres of this symbol are called “Sephiroth”, they mean emanation and are connected by different paths. The bottom Sephira represents the material world and the top Sephira represents cosmic consciousness. The other Sephiras represent the qualities of the soul and are divided into three pillars: severity, gentleness and mercy. This model represents the Tree of life symbol using the Flower of Life symbol.


106. Flower of life with the Forbidden Fruit symbol

>Flower of life with the Forbidden Fruit symbol


The geometry of an apple, considered a “forbidden fruit,” reveals the pentagram and the torus. The torus is responsible for morphology in nature and determines the shapes and dynamics of the natural world (from atoms, molecules, plants, to astronomical structures). The golden ratio is not only a mathematical notion, but also a symbol of beauty, harmony, and perfection in art, science, and nature. The apple can be considered “forbidden” because it encodes the torus and the pentagram, which contain the golden ratio within their construction. This model represents the Forbidden Fruit symbol combined with the Flower of Life symbol.


107. Flower of life with the Ichthys symbol

Flower of life with the Ichthys symbol


The Ichthys symbol, also called the Jesus Fish, is related to Sacred Geometry because it is formed from the Vesica Piscis symbol. These symbols are represented by the intersection of two overlapping circles. This shape represents the union of beliefs, and its geometric structure, with its symbolism of connection and creation, aligns with the principles of Sacred Geometry, which considers certain geometric shapes to have divine and cosmic symbolism. This model represents the Ichthys symbol using the Flower of Life symbol.


108. Flower of life with the Menorah symbol

Flower of life with the Menorah symbol


The Menorah symbol can be associated with Sacred Geometry through its symmetrical design and geometric patterns that utilize elements of the Hexagram (Merkabah star). In artistic representations, Menorah symbols appear in cosmic settings, with spiraling Hebrew letters and geometric patterns blending with galaxies, demonstrating the connection between this symbol and the geometric structure of the universe. In this model, we have a representation of the Menorah symbol made with the Flower of Life symbol.


109. Flower of life with the Hexagram

Flower of life with the Hexagram


In Sacred Geometry, the Hexagram (six-pointed star) symbolizes the harmonious union of opposites, representing spiritual balance and cosmic interconnection. It is represented as two intertwined equilateral triangles representing the following elements: masculine and feminine, earth and sky, or the divine and human realms. This symbol can be found in various cultures and religions and represents a fundamental cosmic balance and the cyclical flow of life and energy. In this model, we have a representation of the Hexagram made with the symbol of the Flower of Life.


110. Flower of life with the snowflake symbol

Flower of life with the snowflake symbol


Snowflake symbols are part of Sacred Geometry because they have a hexagonal structure, resulting from the molecular symmetry of water molecules and hydrogen bonds. This symmetry reflects the order and harmony of the universe, which are fundamental concepts of Sacred Geometry. The mathematical precision found in the snowflake’s structure contrasts with the great variety of individual shapes, which arise from small differences in temperature, humidity, and other environmental factors. As a snowflake grows, its branches create self-similar patterns on decreasing scales, similar to Fractal Geometry. In this model, we have a representation of a snowflake symbol made with the Flower of Life symbol.


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111. Flower of life with the Caduceus symbol

Flower of life with the Caduceus symbol


The Caduceus is often incorporated into Sacred Geometry designs to represent balance and harmony. Although the Caduceus symbolizes healing, balance, and the union of opposing forces, its connection to Sacred Geometry emerges through its integration with geometric patterns such as mandalas, the Flower of Life, or DNA helices. The intertwined serpents and winged staff of the Caduceus represent the integration of opposites, such as spirit and matter, masculine and feminine, which represents an important theme of Sacred Geometry. In this model, we have a representation of the Caduceus symbol combined with the Flower of Life symbol.


112. Flower of life fractal

Flower of life fractal


A fractal Flower of Life combines the traditional Flower of Life symbol with Fractal Geometry, representing the patterns of the universe through self-similar patterns that repeat at different scales, similar to the hexagonal patterns of the Flower of Life symbol itself. This Sacred Geometry symbol is considered a blueprint for all creation, containing fundamental patterns and structures of the universe within its overlapping circles and hexagonal symmetry. In this model, we have the representation of the fractal Flower of Life symbol with three stages (iterations).


113. Flower of life with a labyrinth

Flower of life with a labyrinth


A labyrinth embodies Sacred Geometry through its winding path designed for spiritual walks, meditation, and personal transformation, symbolizing a spiritual journey and connection with the universe. Labyrinths use geometric shapes, numerology, and spiral designs to create a purposeful, harmonious, and symbolic path that connects the walker to the universal principles of order and chaos. The combination of circles and spirals in a labyrinth’s design embodies the concept of interconnection. This model depicts a labyrinth made with the symbol of the Flower of Life.


114. Seven days of creation

Seven days of creation


It consists of seven circles of the same size, creating a pattern that resembles a six-petal flower. The circles centers form a hexagram, which represents the connection between the seven days of creation. The seven circles represent the seven days of creation in religious and spiritual contexts. The connected nature of circles means that each stage of creation is connected to and builds on the previous one.


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Licença Creative Commons
Sacred Geometry - Visualization of symbols with Augmented Reality and Virtual Reality by Paulo Henrique Siqueira is licensed with a license Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International.

How to cite this work:

Siqueira, P.H., "Sacred Geometry: Visualization of symbols with Augmented Reality and Virtual Reality". Available in: <https://paulohscwb.github.io/SacredGeometry/symbols/>, May 2024.

DOI

References:
Pardesco. “Sacred Geometry Art, Symbols & Meanings”. https://pardesco.com/blogs/news/sacred-geometry-art-symbols-meanings
Weisstein, Eric W. “Platonic Solid” From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/PlatonicSolid.html
Weisstein, Eric W. “Polyhedra” From MathWorld-A Wolfram Web Resource. https://mathworld.wolfram.com/topics/Polyhedra.html
Solar System Scope. “Solar Textures: Stars and Milky Way”. https://www.solarsystemscope.com/textures/
McCooey, D. I. “Visual Polyhedra”. http://dmccooey.com/polyhedra/