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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Copyright © 1996-2018 Alexander Bogomolny

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