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.)
Copyright © 1996-2017 Alexander Bogomolny