Electric circuit problem.
How to solve this four resistors circuit by Syrup? ... EDIT; This is not my electric circuit problem. My exercise how to use Maple. Below is the problem.

This electric circuit problem is very hard to solve. Maple or other math program must need to solve.

Download Make_one_ohm_by_one_ohm.mw

Download Resistance-345.mw

Solve diagonal resistance of nodes (0,0,0)-(3,4,5),

Edge length = ohm, therefore, each edge has 3, 4 and 5 ohm, respectivery. (156/47 ohm)

Solve minimum diagonal surface distance of nodes (0,0,0)-(3,4,5). (sqrt(74))

Electric circuit study.

Tokoro.

The two points on the sphere has radius r=1/2. So, the distance is 1.
The three points on the sphere has radius r=1/sqrt(3). So, all distances are 1.
The four points on the sphere has radius r=sqrt(6)/4. So, all distances are 1.
What is the smallest sphere radius for 5 points and above numbers?  

Find the smallest sphere radius and 3D position of each point.

Answer of smaller radius is better.

Tokoro.

Download 3D-4points.mw

The two points on the circle has radius r=1/2. So, the distance is 1.
The three points on the circle has radius r=1/sqrt(3). So, the all distances are 1.
What is the smallest circle radius for 6 points and above numbers?  

Resistor grid of one ohm to make rubik cube of 3*4*5.
Resistance of red node to node is 

nx, ny, nz;

Ans := R3D;
Ans*Unit('ohm');
                            3, 4, 5

               1.211 Unit(Ω)

Tokoro.

grid cube electrical-engineering