Icosaeder with resistors

If you can do the cube, then you can also do the icosaeder, the topology is as follows:

icosaeder

Enter the topology in the program that I used for the cube, and of course, the Kirchhoff conditions are automatically generated. With 1000 Ω resistors I found:

  • Configuration 1: From node 1 to node 12  : 500 Ω
  • Configuration 2: From node 1 to node 6    : 366 2/3 Ω
  • Configuration 3: From node 1 to node 7    : 466 2/3 Ω

For configuration 1 the current solution shows zero ampere between nodes 2-3, 3-4, 4-5, 5-6 and 6-2 and also between nodes 7-8, 8-9, 9-10, 10-11 and 11-7. For the other configurations this is not the case.

Are there volunteers to solder the “resistor icosaeder” and verify the answers?

Last update: 28-1-2018 11:52

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