The Animation of Regular Polyhedrons

Outlines
Start with Regular Tetrahedron
Start with Cube
Start with Regular Octahedron
Start with Regular Dodecahedron
Start with Regular Icosahedron
Appendix
Reference

Instructor Professor : Jen-Chung Chuan

Student : Pei-Hsin Li

All figures in this website are constructed by Cabri 3D

There is some interesting relevance between convex and non-convex polyhedrons. In the following sections, we will perform the variations of points, sides and faces of polyhedron and their dynamical transformation among several polyhedrons by their geometry properties, such as rotation, dilation, symmetry, reflection ....etc, starting from five regular polyhedrons.

For example, Regular Tetrahedron transforms into Triakis Tetrahedron; Cube transforms into Rhombic Dodecahedron; Regular Octahedron transform into Stella Octangula and Regular Icosahedron transforms into Great Icosahedron, etc.

Finally, I would like to express my appreciation to Professor Jen-Chung Chuan, who is my advisor. With his creative ideas, the static polyhedrons become dynamic and people can perceive the attraction of geometry intuitively.

TOP

Regular Tetrahedron		Name	Figure
	1	Tetrahedron Net
	2	Triakis Tetrahedron
	3	Truncated Tetrahedron

TOP

Regular Octahedron		Name	Figure
	1	Octahedron Net
	2	Cuboctahedron
	3	Stella Octangula	1 2

Regular Dodecahedron		Name	Figure
	1	Dodecahedron Net
	2	Small Stellated Dodecahedron
	3	Great Dodecahedron	1 2
	4	Dodecadodecahedron	1 2
	5	Icosidodecahedron
	6	Truncated Dodecahedron

Regular Icosahedron		Name	Figure
	1	Icosahedron Net
	2	Great Icosahedron	1 2
	3	Icosidodecahedron

Cube		Name	Figure
	1	Cube Net
	2	Rhombic Dodecahedron
	3	Truncated Cube

Appendix
Before		After
Regular Octahedron	1
Regular Dodecahedron	2
Regular Icosahedron	3