Mathnetism's Rhombic Triacontahedron (Zen Magnets)

Описание к видео Mathnetism's Rhombic Triacontahedron (Zen Magnets)

This video shows how to build Mathnetism’s ingenious rhombic triacontahedron (   • Rhombic Triacontahedron (Zen Magnets)  ). For edge length L, the number of magnets required is N = 720L + 1604:

L, N
1, 2324
2, 3044
3, 3764
4, 4484
5, 5204
6, 5924
7, 6644
8, 7364
9, 8084
10, 8804
11, 9524
12, 10244
13, 10964
14, 11684
15, 12404
16, 13124
17, 13844
18, 14564
19, 15284
20, 16004

The video shows how to build the shape for L = 6, which requires N = 5924 magnets. The shape is quite strong at this size, and I suspect that it can be built for larger sizes. It can certainly be built in smaller sizes.

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