Acronym | ... |
Name | complex polyhedron xp xr || op xr |
Coordinates |
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Face vector | r(p+1), pr+p+r+1, p+r+1 |
Confer |
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This complex polyhedron is an extrapolation of square || line, which as such was just the extremal case x2 x2 || o2 x2, i.e. the case with p=r=2.
For r=2 it occurs (at least by structure, not by measurement) as vertex figure of x2-3-o2-3-x2-4-op, and for p=r=3 it occurs as such of x3-3-o3-3-x3-3-o3.
Incidence matrix according to Dynkin symbol
xp xr || op xr → height = sqrt[1-1/(4 sin2(π/p))] op or . . | pr * | 1 1 1 0 | 1 1 1 . . op or | * r | 0 0 p 1 | 0 1 p -----------------+------+----------+------ xp . . . | p 0 | r * * * | 1 1 0 . xr . . | r 0 | * p * * | 1 0 1 op or || op or | 1 1 | * * pr * | 0 1 1 . . . xr | 0 r | * * * 1 | 0 0 p -----------------+------+----------+------ xp xr . . ♦ pr 0 | r p 0 0 | 1 * * xp . || op . | p 1 | 1 0 p 0 | * r * . xr || . xr ♦ r r | 0 1 r 1 | * * p
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