Dissection of a Square Pyramid

The applet below illustrates the fact that a square pyramid is a union of six smaller 4-pyramids and four tetrahedron. This fact (leads to a solution to the problem of comparing the volumes of a regular tetrahedron and a square pyramid, with all 14 edges of the two shapes equal.

What if applet does not run?

Drag the mouse to rotate the cube. Use the right button to remove and put back individual faces.

(Acknowledgement: I have learned most of Java details from the implementation by Meiko Rachimow.)

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	Right Pentagonal Prism
	Square Pyramid
	Right Triangular Prism
	Twisted Triangular Prism
	Tetrahedron: an Interactive Model
	Octahedron: an Interactive Model
	Cube: an Interactive Model
	Icosahedron: an Interactive Model
	Dodecahedron: an Interactive Model
	Three Pyramids are Better Than Two
	Cube In Octahedron
	Octahedron In Cube
	Octahedron In Tetrahedron
	Tetrahedron In Cube
	Icosahedron In Cube
	Great Stellated Dodecahedron
	Lennes' Polyhedron
	Triangulated Dinosaur
	Volumes of Two Pyramids
	Császár Polyhedron 1
	Császár Polyhedron 4
	Szilassi Polyhedron

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