# Wireframes, Surfaceframes,Volumes, etc.

Geometric volumesneeded for calculation of forcestrengths include:

`Force       M      Vol(M) gravity    S^4    8pi^2/3 - S^4 is 4-dimensional color      CP^2   8pi^2/3 - CP^2 is 4-dimensional weak   S^2 x S^2  2 x 4pi - S^2 is a 2-dim boundary of 3-dim ball                            4-dim S^2 x S^2 =                            = topological boundary of 6-dim 2-polyball                      Shilov Boundary of 6-dim 2-polyball = S^2 + S^2 =                             = 2-dim surface frame of 4-dim S^2 x S^e-mag      T^4    4 x 2pi - S^1 is 1-dim boundary of 2-dim disk                             4-dim T^4 = S^1 x S^1 x S^1 x S^1 =                            = topological boundary of 8-dim 4-polydisk                     Shilov Boundary of 8-dim 4-polydisk =                             = S^1 + S^1 + S^1 + S^1 =                             = 1-dim wire frame of 4-dim T^4 `

Also note that:

For U(1) electromagnetism, whosephoton carries no charge, the factors Vol(Q) and Vol(D) do not applyand are set equal to 1.