WOLFRAM|DEMONSTRATIONS PROJECT

Building on 12 Polar Zonohedra

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Various rhombic polyhedra are used to build a structure around 12 polar zonohedra to fill space. The polar zonohedra have five zones and are bordered by
25=10
rhombuses with a diagonal ratio that is equal to the golden ratio squared and
25=10
rhombuses with a diagonal ratio that is equal to the square root of two. The constituent polyhedra also have the same rhombuses. The structure is shown in 13 stages.