WOLFRAM|DEMONSTRATIONS PROJECT

Polar Zonohedron Built on a Dodecahedron

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opacity of dodecahedron
move polar zonohedron
move half polar zonohedron
dodecahedron size
show lateral polar zonohedra
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show lower half
A triangle determined by an edge and the center of a dodecahedron is half of a rhombus, with diagonal ratio equal to the square of the golden ratio. Based on this relationship, polar zonohedra can be built on each face of the dodecahedron.
The diagonal ratio of the second rhombus of the polar zonohedron is
2
.
This assembly can be built with Zometool using yellow struts.