Dodecahedron Made of 20 Blocks

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Twenty blocks are used to assemble a dodecahedron. The relationship of the blocks to the golden rhombohedron is also shown.

Contributed by: Sándor Kabai (March 2011)
Open content licensed under CC BY-NC-SA


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The Demonstration includes the information necessary to prepare a block by cutting:

1. The block fits into a golden rhombohedron.

2. The angle between the edge of the rhombohedron and the dodecahedron surface is 90 degrees.

3. The rhombohedron is to be cut three times. If the rhombohedron is placed on a flat surface, then make the cut at an angle of relative to the horizontal direction starting from a vertex.

(This is the way to produce a dodecahedron using blocks cut out from expanded polystyrene by means of a hot wire.)



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