Incidence matrix
point || pseudo cube || pseudo ike || point → height(1,2) = 1/2
height(2,3) = (1+sqrt(5))/4 = 0.809017
height(3,4) = (sqrt(5)-1)/4 = 0.309017
1 * * * | 8 0 0 0 0 0 | 12 0 0 0 0 0 0 0 0 | 6 0 0 0 0 0 verf: cube
* 8 * * | 1 3 3 0 0 0 | 3 3 3 3 3 0 0 0 0 | 3 3 3 1 0 0
* * 12 * | 0 0 2 1 4 1 | 0 0 1 2 4 3 2 1 4 | 0 1 3 2 3 2
* * * 1 | 0 0 0 0 0 12 | 0 0 0 0 0 0 0 6 24 | 0 0 0 0 12 8 verf: ike
---------+-----------------+-------------------------+--------------
1 1 0 0 | 8 * * * * * | 3 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0
0 2 0 0 | * 12 * * * * | 1 2 1 1 0 0 0 0 0 | 2 2 1 0 0 0
0 1 1 0 | * * 24 * * * | 0 0 1 1 2 0 0 0 0 | 0 1 2 1 0 0
0 0 2 0 | * * * 6 * * | 0 0 0 2 0 2 0 1 0 | 0 1 2 0 2 0
0 0 2 0 | * * * * 24 * | 0 0 0 0 1 1 1 0 1 | 0 0 1 1 1 1
0 0 1 1 | * * * * * 12 | 0 0 0 0 0 0 0 1 4 | 0 0 0 0 3 2
---------+-----------------+-------------------------+--------------
1 2 0 0 | 2 1 0 0 0 0 | 12 * * * * * * * * | 2 0 0 0 0 0
0 4 0 0 | 0 4 0 0 0 0 | * 6 * * * * * * * | 1 1 0 0 0 0
0 2 1 0 | 0 1 2 0 0 0 | * * 12 * * * * * * | 0 1 1 0 0 0
0 2 2 0 | 0 1 2 1 0 0 | * * * 12 * * * * * | 0 1 1 0 0 0
0 1 2 0 | 0 0 2 0 1 0 | * * * * 24 * * * * | 0 0 1 1 0 0
0 0 3 0 | 0 0 0 1 2 0 | * * * * * 12 * * * | 0 0 1 0 1 0
0 0 3 0 | 0 0 0 0 3 0 | * * * * * * 8 * * | 0 0 0 1 0 1
0 0 2 1 | 0 0 0 1 0 2 | * * * * * * * 6 * | 0 0 0 0 2 0
0 0 2 1 | 0 0 0 0 1 2 | * * * * * * * * 24 | 0 0 0 0 1 1
---------+-----------------+-------------------------+--------------
1 4 0 0 | 4 4 0 0 0 0 | 4 1 0 0 0 0 0 0 0 | 6 * * * * * squippy
0 4 2 0 | 0 4 4 1 0 0 | 0 1 2 2 0 0 0 0 0 | * 6 * * * * trip
0 2 3 0 | 0 1 4 1 2 0 | 0 0 1 1 2 1 0 0 0 | * * 12 * * * squippy
0 1 3 0 | 0 0 3 0 3 0 | 0 0 0 0 3 0 1 0 0 | * * * 8 * * tet
0 0 3 1 | 0 0 0 1 2 3 | 0 0 0 0 0 1 0 1 2 | * * * * 12 * tet
0 0 3 1 | 0 0 0 0 3 3 | 0 0 0 0 0 0 1 0 3 | * * * * * 8 tet