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Daily Archives: 4 March 2017

A Polyhedron Featuring 42 Regular Decagons

Posted on 4 March 2017 by RobertLovesPi
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42-regular-decagons-60-each-of-two-types-of-trapezoid-and-20-triangles

In addition to the 42 regular decagons, the faces of this polyhedron include twenty equilateral triangles, sixty yellow trapezoids, and sixty blue trapezoids. That’s 182 faces in all.

The next picture shows what happens if all of the decagons have the same color, the triangles have another, and the trapezoids are hidden from view.

42-regular-decagons-60-each-of-two-types-of-trapezoid-and-20-triangles-reg-only-visible

Both images were created using Stella 4d, software you can try for yourself at this website.

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Posted in Mathematics | Tagged decagon, geometry, Mathematics, polyhedra, polyhedron | Leave a reply

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