Visualization of polyhedra 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
Home
List of polyhedra
Platonic polyhedra
| Name | 3D model | Video | Dual | Immersive room | |
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| U1 |  Tetrahedron |
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| U5 |  Octahedron |
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| U6 |  Cube |
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| U22 |  Icosahedron |
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| U23 |  Dodecahedron |
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 Duality |
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Archimedes and Catalan polyhedra
Truncated tetrahedron
Triakis Tetrahedron
Cuboctahedron
Rhombic Dodecahedron
Truncated octahedron
Tetrakis Hexahedron
Truncated cube
Triakis Octahedron
Rhombicuboctahedron
Deltoidal Icositetrahedron
Truncated cuboctahedron
Disdyakis Dodecahedron
Snub cube
Pentagonal Icositetrahedron
Icosidodecahedron
Rhombic Triacontahedron
Truncated icosahedron
Pentakis Dodecahedron
Truncated dodecahedron
Triakis Icosahedron
Rhombicosidodecahedron
Deltoidal Hexecontahedron
Truncated icosidodecahedron
Disdyakis Triacontahedron
Snub dodecahedron
Pentagonal Hexecontahedron
Pseudo deltoidal icositetrahedron
DualityNonconvex polyhedra
Octahemioctahedron
Octahemioctacron
Tetrahemihexahedron
Tetrahemihexacron
Cubohemioctahedron
Hexahemioctacron
Small Stellated Dodecahedron
Great Dodecahedron
Small Icosihemidodecahedron
Small icosihemidodecacron
Small Dodecahemidodecahedron
Small dodecahemidodecacron
Great Stellated Dodecahedron
Great Icosahedron
Small Dodecahemicosahedron
Small dodecahemicosacron
Great Dodecahemicosahedron
Great dodecahemicosacron
Great Dodecahemidodecahedron
Great dodecahemidodecacron
Great Icosihemidodecahedron
Great icosihemidodecacron
Escher's Solid
Escher's Solid Dual
Stella Octangula
Rhombic Hexecontahedron
Concave Dodecahedron
Jessen's Orthogonal Icosahedron
Möbius Deltahedron - 24 faces
Möbius Deltahedron dual
Möbius Octakis Hexahedron
Möbius Octakis Hexahedron dual
Möbius Hexakis Octahedron
Möbius Hexakis Icosahedron
Möbius 10-akis Dodecahedron
DualityPyramids, tetrahedrons, prisms and antiprisms
Prism
Antiprism
Stellated Prism
Stellated Antiprism
Stellated Crossed Antiprism
Pyramid
Stellated Pyramid
Dipyramid
Stellated Dipyramid
Trapezohedron
Stellated Trapezohedron
Stellated Concave Trapezohedron
Isosceles tetrahedron
Non convex Hexakis Tetrahedron
Non convex Hexakis Tetrahedron v2
Trapezo-rhombic Dodecahedron
Octahedral Pentagonal Dodecahedron
Concave Dyakis Dodecahedron
Dyakis Dodecahedron
Tetragonal Pentagonal Dodecahedron
Hexakis Tetrahedron
Trapezohedral Tristetrahedron
Iris Toroid
Iris Antitoroid
Rhombic enneacontahedron
Goddard-Henning enneahedron
Herschel enneahedron
Parallelepiped
Non convex Hexakis Tetrahedron v3
Convex Trapezohedral TristetrahedronSelf-intersecting polyhedra
Small Cubicuboctahedron
Small Hexacronic Icositetrahedron
Great Cubicuboctahedron
Great Hexacronic Icositetrahedron
Uniform Great Rhombicuboctahedron
Great Deltoidal Icositetrahedron
Small Ditrigonal Icosidodecahedron
Small Triambic Icosahedron
Small icosicosidodecahedron
Small icosacronic hexecontahedron
Small Dodecicosidodecahedron
Small Dodecacronic Hexecontahedron
Dodecadodecahedron
Medial Rhombic Triacontahedron
Rhombidodecadodecahedron
Medial deltoidal hexecontahedron
Ditrigonal dodecahedron
Medial Triambic Icosahedron
Great ditrigonal dodecicosidodecahedron
Great ditrigonal dodecacronic hexecontahedron
Small ditrigonal dodecicosidodecahedron
Small ditrigonal dodecacronic hexecontahedron
Icosidodecadodecahedron
Medial icosacronic hexecontahedron
Great Ditrigonal Icosidodecahedron
Great Triambic Icosahedron
Great Icosicosidodecahedron
Great icosacronic hexecontahedron
Great Icosidodecahedron
Great Rhombic Triacontahedron
Great Dodecicosidodecahedron
Great dodecacronic hexecontahedron
Uniform great rhombicosidodecahedron
Great deltoidal hexecontahedron
Echidnahedron
DualityQuasi regular polyhedra
| Name | 3D model | Video | Dual | Immersive room | |
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| U18 |  Small rhombihexahedron |
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 Small rhombihexacron |
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| U21 |  Great Rhombihexahedron |
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 Great Rhombihexacron |
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| U39 |  Small rhombidodecahedron |
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 Small rhombidodecacron |
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| U50 |  Small dodecicosahedron |
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 Small dodecicosacron |
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| U56 |  Rhombicosahedron |
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 Rhombicosacron |
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| U63 |  Great dodecicosahedron |
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 Great dodecicosacron |
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| U73 |  Great rhombidodecahedron |
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 Great rhombidodecacron |
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 Duality |
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Self-intersecting truncated polyhedra
Cubitruncated Cuboctahedron
Tetradyakis Hexahedron
Stellated Truncated Hexahedron
Great Triakis Octahedron
Great Truncated Cuboctahedron
Great Disdyakis Dodecahedron
Truncated Great Dodecahedron
Small Stellapentakis Dodecahedron
Icositruncated Dodecadodecahedron
Tridyakis icosahedron
Great Truncated Icosahedron
Great Stellapentakis Dodecahedron
Small Stellated Truncated Dodecahedron
Great Pentakis Dodecahedron
Truncated Dodecadodecahedron
Medial Disdyakis Triacontahedron
Great Stellated Truncated Dodecahedron
Great Triakis Icosahedron
Great Truncated Icosidodecahedron
Great Disdyakis Triacontahedron
DualitySelf-intersecting snub polyhedra
Small Snub Icosicosidodecahedron
Small Hexagonal Hexecontahedron
Snub Dodecadodecahedron
Medial pentagonal hexecontahedron
Snub Icosidodecadodecahedron
Medial Hexagonal Hexecontahedron
Great Snub Icosidodecahedron
Great Pentagonal Hexecontahedron
Inverted Snub Dodecadodecahedron
Medial inverted pentagonal hexecontahedron
Great Snub Dodecicosidodecahedron
Great Hexagonal Hexecontahedron
Great Inverted Snub Icosidodecahedron
Great Inverted Pentagonal Hexecontahedron
Small Retrosnub Icosicosidodecahedron
Small Hexagrammic Hexecontahedron
Great Retrosnub Icosidodecahedron
Great Pentagrammic Hexecontahedron
Great dirhombicosidodecahedron
Great dirhombicosidodecacron
Great Disnub Dirhombidodecahedron
DualityJohnson solids
Square pyramid
Pentagonal pyramid
Triangular cupola
Square cupola
Pentagonal cupola
Pentagonal rotunda
Elongated triangular pyramid
Elongated square pyramid
Elongated pentagonal pyramid
Gyroelongated square pyramid
Gyroelongated pentagonal pyramid
Triangular dipyramid
Pentagonal dipyramid
Elongated triangular dipyramid
Elongated square dipyramid
Elongated pentagonal dipyramid
Gyroelongated square dipyramid
Elongated triangular cupola
Elongated square cupola
Elongated pentagonal cupola
Elongated pentagonal rotunda
Gyroelongated triangular cupola
Gyroelongated square cupola
Gyroelongated pentagonal cupola
Gyroelongated pentagonal rotunda
Gyrobifastigium
Triangular orthobicupola
Square orthobicupola
Square gyrobicupola
Pentagonal orthobicupola
Pentagonal gyrobicupola
Pentagonal orthocupolarotunda
Pentagonal gyrocupolarotunda
Pentagonal orthobirotunda
Elongated triangular orthobicupola
Elongated triangular gyrobicupola
Elongated square gyrobicupola
Elongated pentagonal orthobicupola
Elongated pentagonal gyrobicupola
Elongated pentagonal orthocupolarotunda
Elongated pentagonal gyrocupolarotunda
Elongated pentagonal orthobirotunda
Elongated pentagonal gyrobirotunda
Gyroelongated triangular bicupola
Gyroelongated square bicupola
Gyroelongated pentagonal bicupola
Gyroelongated pentagonal cupolarotunda
Gyroelongated pentagonal birotunda
Gyroelongated pentagonal birotunda
Biaugmented triangular prism
Triaugmented triangular prism
Augmented pentagonal prism
Biaugmented pentagonal prism
Augmented hexagonal prism
Parabiaugmented hexagonal prism
Metabiaugmented hexagonal prism
Triaugmented hexagonal prism
Augmented dodecahedron
Parabiaugmented dodecahedron
Metabiaugmented dodecahedron
Triaugmented dodecahedron
Metabidiminished icosahedron
Tridiminished icosahedron
Augmented tridiminished icosahedron
Augmented truncated tetrahedron
Augmented truncated cube
Biaugmented truncated cube
Augmented truncated dodecahedron
Parabiaugmented truncated dodecahedron
Metabiaugmented truncated dodecahedron
Triaugmented truncated dodecahedron
Gyrate rhombicosidodecahedron
Parabigyrate rhombicosidodecahedron
Metabigyrate rhombicosidodecahedron
Trigyrate rhombicosidodecahedron
Diminished rhombicosidodecahedron
Paragyrate diminished rhombicosidodecahedron
Metagyrate diminished rhombicosidodecahedron
Bigyrate diminished rhombicosidodecahedron
Parabidiminished rhombicosidodecahedron
Metabidiminished rhombicosidodecahedron
Gyrate bidiminished rhombicosidodecahedron
Tridiminished rhombicosidodecahedron
Snub disphenoid
Snub square antiprism
Sphenocorona
Augmented sphenocorona
Sphenomegacorona
Hebesphenomegacorona
Disphenocingulum
Bilunabirotunda
Triangular hebesphenorotunda
Polyhedra: Visualization of polyhedra 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., "Polyhedra: Visualization of polyhedra with Augmented Reality and Virtual Reality". Available in: <https://paulohscwb.github.io/polyhedra/>, September 2019.
References:
Weisstein, Eric W. “Archimedean Solid” From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/ArchimedeanSolid.html
Weisstein, Eric W. “Platonic Solid” From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/PlatonicSolid.html
Weisstein, Eric W. “Archimedean Dual” From MathWorld-A Wolfram Web Resource. https://mathworld.wolfram.com/ArchimedeanDual.html
Weisstein, Eric W. “Uniform Polyhedron.” From MathWorld–A Wolfram Web Resource. https://mathworld.wolfram.com/UniformPolyhedron.html
Wikipedia https://en.wikipedia.org/wiki/Archimedean_solid
Wikipedia https://en.wikipedia.org/wiki/Platonic_solid
McCooey, David I. “Visual Polyhedra”. http://dmccooey.com/polyhedra/