U-tiling: UQC104
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc7 |
*24(12) |
(1,1,1) |
{12} |
{4.4.4.4.4.4.4.4.4.4.4.4} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
True
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
G
|
True
|
|
sqc3
|
bcu
|
Im-3m |
229 |
cubic |
{8} |
1 |
(1,1) |
|
D
|
True
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
Topological data
| Vertex degrees | {12,12} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:48:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48,37 10 43 8 33 14 47 45 31 20 41 27 24 21 26 39 30 35 29 36 40 42 46 48,3 4 7 8 11 12 15 16 19 20 23 24 27 28 31 32 35 36 39 40 43 44 47 48:4 4 4 4 4 4,12 12> {(1, 24): 'tau1', (1, 26): 't2^-1', (1, 30): 't3^-1', (1, 16): 'tau1', (1, 40): 'tau3^-1', (1, 42): 't1', (1, 44): 'tau2', (1, 46): 't1', (1, 32): 'tau3^-1', (1, 34): 't2^-1', (1, 36): 'tau2', (1, 38): 't3^-1'}