| Acronym | ... |
| Name | family of (generally hyperbolic) s4oPo4s tesselation |
| Vertex figure |
pxoPoxp&#xtwith p = 2 cos(π/P), i.e. an oct (P=2), a co (P=3), etc. |
| Especially | hex (P=2, spherical) octet (P=3, euclidean) s4o4o4s (P=4, paracompact hyperbolean) |
This will be a non-Wythoffian but still uniform (generally non-compact hyperbolic for P>3) snub tesselation.
Incidence matrix according to Dynkin symbol
s4oPo4s (N,M → ∞)
demi( . . . . ) | 2NM | 2P 2P | 2P 6P | 2 2P 2P
-------------------+-----+-----------+----------+-----------
s4o . . & | 2 | 2PNM * | 2 2 | 1 1 2
s . . s | 2 | * 2PNM | 0 4 | 0 2 2
-------------------+-----+-----------+----------+-----------
sefa( s4oPo . ) & | P | P 0 | 4NM * | 1 0 1
sefa( s4o . s ) & | 3 | 1 2 | * 4PNM | 0 1 1
-------------------+-----+-----------+----------+-----------
s4oPo . & ♦ 2M | PM 0 | 2M 0 | 2N * *
s4o . s & ♦ 4 | 2 4 | 0 4 | * PNM *
sefa( s4oPo4s ) ♦ 2P | 2P 2P | 2 2P | * * 2NM
starting figure: x4oPo4x
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