Visual Polyhedra

These pages present interactive graphical polyhedra organized in several categories. Each polyhedron's page contains a 3-dimensional virtual model of the polyhedron, followed by a summary of the polyhedron's vital statistics. The model provides an opaque visual mode, a translucent visual mode, and a metrics mode. In the visual modes, the polyhedron can be rotated and scaled, the perspective can be changed, and individual faces can be examined in isolation. The metrics mode computes the polyhedron's vital statistics empirically.

The virtual model on each polyhedron's page requires a browser that supports the HTML5 Canvas element. For older browsers, try using the Java applet version of these pages.

Platonic Solids
U1: Tetrahedron
U5: Octahedron
U6: Cube
U22: Icosahedron
U23: Dodecahedron
Kepler-Poinsot Solids
U34: Small Stellated Dodecahedron
U52: Great Stellated Dodecahedron
U35: Great Dodecahedron
U53: Great Icosahedron
Versi-Regular Polyhedra
U4: Tetrahemihexahedron
U15: Cubohemioctahedron
U3: Octahemioctahedron
U51: Small Dodecahemidodecahedron
U70: Great Dodecahemidodecahedron
U62: Small Dodecahemicosahedron
U65: Great Dodecahemicosahedron
U49: Small Icosihemidodecahedron
U71: Great Icosihemidodecahedron
Archimedean Solids
U2: Truncated Tetrahedron
U7: Cuboctahedron
U8: Truncated Octahedron
U9: Truncated Cube
U10: Rhombicuboctahedron
U12: Snub Cube (laevo)
U12: Snub Cube (dextro)
U24: Icosidodecahedron
U11: Truncated Cuboctahedron
U25: Truncated Icosahedron
U26: Truncated Dodecahedron
U27: Rhombicosidodecahedron
U29: Snub Dodecahedron (laevo)
U29: Snub Dodecahedron (dextro)
U28: Truncated Icosidodecahedron
Catalan Solids
Triakis Tetrahedron
Rhombic Dodecahedron
Tetrakis Hexahedron
Triakis Octahedron
Deltoidal Icositetrahedron
Pentagonal Icositetrahedron (dextro)
Pentagonal Icositetrahedron (laevo)
Rhombic Triacontahedron
Disdyakis Dodecahedron
Pentakis Dodecahedron
Triakis Icosahedron
Deltoidal Hexecontahedron
Pentagonal Hexecontahedron (dextro)
Pentagonal Hexecontahedron (laevo)
Disdyakis Triacontahedron
Self-Intersecting Quasi-Regular Polyhedra
U41: Ditrigonal Dodecadodecahedron
U30: Small Ditrigonal Icosidodecahedron
U47: Great Ditrigonal Icosidodecahedron
U36: Dodecadodecahedron
U54: Great Icosidodecahedron
Self-Intersecting Quasi-Regular Duals
Medial Triambic Icosahedron
Small Triambic Icosahedron
Great Triambic Icosahedron
Medial Rhombic Triacontahedron
Great Rhombic Triacontahedron
Self-Intersecting Quasi-Quasi-Regular Polyhedra
U13: Small Cubicuboctahedron
U14: Great Cubicuboctahedron
U17: Uniform Great Rhombicuboctahedron
U33: Small Dodecicosidodecahedron
U61: Great Dodecicosidodecahedron
U43: Small Ditrigonal Dodecicosidodecahedron
U42: Great Ditrigonal Dodecicosidodecahedron
U44: Icosidodecadodecahedron
U31: Small Icosicosidodecahedron
U48: Great Icosicosidodecahedron
U38: Rhombidodecadodecahedron
U67: Uniform Great Rhombicosidodecahedron
Self-Intersecting Quasi-Quasi-Regular Duals
Small Hexacronic Icositetrahedron
Great Hexacronic Icositetrahedron
Great Deltoidal Icositetrahedron
Small Dodecacronic Hexecontahedron
Great Dodecacronic Hexecontahedron
Small Ditrigonal Dodecacronic Hexecontahedron
Great Ditrigonal Dodecacronic Hexecontahedron
Medial Icosacronic Hexecontahedron
Small Icosacronic Hexecontahedron
Great Icosacronic Hexecontahedron
Medial Deltoidal Hexecontahedron
Great Deltoidal Hexecontahedron
Versi-Quasi-Regular Polyhedra
U18: Small Rhombihexahedron
U21: Great Rhombihexahedron
U50: Small Dodecicosahedron
U63: Great Dodecicosahedron
U39: Small Rhombidodecahedron
U73: Great Rhombidodecahedron
U56: Rhombicosahedron
Versi-Quasi-Regular Duals
Small Rhombihexacron
Great Rhombihexacron
Small Dodecicosacron
Great Dodecicosacron
Small Rhombidodecacron
Great Rhombidodecacron
Self-Intersecting Truncated Regular Polyhedra
U19: Stellated Truncated Hexahedron
U37: Truncated Great Dodecahedron
U58: Small Stellated Truncated Dodecahedron
U66: Great Stellated Truncated Dodecahedron
U55: Truncated Great Icosahedron
Self-Intersecting Truncated Regular Duals
Great Triakis Octahedron
Small Stellapentakis Dodecahedron
Great Pentakis Dodecahedron
Great Triakis Icosahedron
Great Stellapentakis Dodecahedron
Self-Intersecting Truncated Quasi-Regular Polyhedra  
U16: Cubitruncated Cuboctahedron
U20: Great Truncated Cuboctahedron
U45: Icositruncated Dodecadodecahedron
U59: Truncated Dodecadodecahedron
U68: Great Truncated Icosidodecahedron
Self-Intersecting Truncated Quasi-Regular Duals
Tetradyakis Hexahedron
Great Disdyakis Dodecahedron
Tridyakis Icosahedron
Medial Disdyakis Triacontahedron
Great Disdyakis Triacontahedron
Self-Intersecting Snub Quasi-Regular Polyhedra
U40: Snub Dodecadodecahedron
U60: Inverted Snub Dodecadodecahedron
U57: Great Snub Icosidodecahedron
U69: Great Inverted Snub Icosidodecahedron
U74: Great Retrosnub Icosidodecahedron
U46: Snub Icosidodecadodecahedron
U64: Great Snub Dodecicosidodecahedron
U32: Small Snub Icosicosidodecahedron
U72: Small Retrosnub Icosicosidodecahedron
U75: Great Dirhombicosidodecahedron
Self-Intersecting Snub Quasi-Regular Duals
Medial Pentagonal Hexecontahedron
Medial Inverted Pentagonal Hexecontahedron
Great Pentagonal Hexecontahedron
Great Inverted Pentagonal Hexecontahedron
Great Pentagrammic Hexecontahedron
Medial Hexagonal Hexecontahedron
Great Hexagonal Hexecontahedron
Small Hexagonal Hexecontahedron
Small Hexagrammic Hexecontahedron
Prisms & Antiprisms
Dipyramids & Trapezohedra
Star Prisms & Antiprisms
Star Dipyramids & Trapezohedra
Archimedean-Catalan Hulls
Propellor Solids
Biscribed Non-Chiral Solids
Biscribed Chiral Solids
Truncated Archimedean Solids
Rectified Archimedean Solids
Truncated Catalan Solids
Chamfered Solids
Johnson Solids
Derived Solids
Geodesic Icosahedra Geodesic Icosahedra (Page 2)
Dual Geodesic Icosahedra Dual Geodesic Icosahedra (Page 2)
Geodesic Cubes Geodesic Cubes (Page 2)
Geodesic Rhombic Triacontahedra Geodesic Rhombic Triacontahedra (Page 2)
High Order Geodesic Polyhedra
Greater Self-Dual Solids
Regular Hexagonal Toroidal Solids
Regular Triangular Toroidal Solids
Regular Tetragonal Toroidal Solids
Non-Regular Toroidal Solids
Higher Genus Toroidal Solids
Other Solids
Simplest Canonical Polyhedra of Each Symmetry Type
Symmetries of Canonical Polyhedra
Symmetries of Canonical Self-Dual Polyhedra
Improper Self-Dual Polyhedra

Copyright © 2015 David I. McCooey. All Rights Reserved