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SOLVED
17-Peridot

## Solve the resistance of one resistor of regular polyhedron 3D mesh.

R(4)=1/2, R(6)=7/12. How about R(8), R(12) and R(20)?

1 ACCEPTED SOLUTION

Accepted Solutions

Resistance of one resistor branch by Mathcad.

6 REPLIES 6
14-Alexandrite
(in response to ttokoro)

This is a very old problem and I believe the answer is, the equivalent resistance is 1 Ohm.

Yes, all resistances of each branch is 1 ohm as shown in my picture. The question is the eqivarent registane of one branch of the regular polyhedrons such as regular tetrahedron=1/2 as shown in my question.

Hi,

You could do the analysis, in the more general case considering the following equivalent network:

to simplify, you could use the star-triangle transformation and see if it is possible to determine the equivalent impedance.

(Sorry, I'm referring to your previous 3D network question with the voltage generator.)

Thanks. Your case is a diagonal resistance of regular polyhedron surface.

Regular hexahedron shows 3/4 ohm. I am using current generator of 1 A.

So V=IR =R shows the resistance itself.

My another puzzle Solve diagonal resistance of resistor 3D mesh