U-tiling: UQC15
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
|
False
|
|
sqc722
|
|
I41/amd |
141 |
tetragonal |
{12} |
2 |
(1,2) |
|
D
|
False
|
|
sqc14
|
|
P4/mmm |
123 |
tetragonal |
{12} |
1 |
(1,2) |
Topological data
| Vertex degrees | {12} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:48:25 5 6 28 31 14 15 34 17 18 37 40 43 23 24 46 29 30 38 39 41 42 47 48,2 9 5 12 8 11 14 21 17 24 20 23 26 33 29 36 32 35 38 45 41 48 44 47,19 3 22 6 10 9 12 16 15 18 21 24 43 27 46 30 34 33 36 40 39 42 45 48:4 4 4 4 4 4,12 12> {(0, 16): 't3*tau2*t1^-1', (0, 41): 't3*tau2*t1^-1', (2, 45): 't3^-1*tau2^-1*t1', (1, 17): 't3*tau2*t3', (1, 11): 't1', (0, 17): 't3*tau2*t1^-1', (1, 35): 'tau3^-1', (2, 21): 't3^-1*tau2^-1*t1', (1, 44): 'tau1^-1', (0, 40): 't3*tau2*t1^-1', (1, 20): 't3^-1', (1, 32): 't2^-1', (1, 41): 't3*tau2*t1^-1*tau3^-1*t2*tau1', }