U-tiling: UQC8
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc12 |
*248 |
(1,1,1) |
{4} |
{8.8.8.8} |
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
|
False
|
|
sqc184
|
crb
|
I4/mmm |
139 |
tetragonal |
{4} |
4 |
(1,2) |
|
G
|
False
|
|
sqc2077
|
|
I41/acd |
142 |
tetragonal |
{4} |
8 |
(1,2) |
|
D
|
False
|
|
sqc5
|
cds
|
P42/mmc |
131 |
tetragonal |
{4} |
2 |
(1,2) |
Topological data
| Vertex degrees | {4} |
| 2D vertex symbol | {8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:64:9 24 11 28 13 30 17 36 32 38 42 47 40 50 55 34 59 52 33 63 44 39 43 45 51 53 57 56 54 61 64 62,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64,5 4 7 8 13 16 17 20 22 21 26 25 29 28 35 36 41 40 43 38 49 51 52 50 57 54 59 56 61 63 62 64:8 8 8 8,4 4 4 4 4 4 4 4> {(0, 29): 't1', (2, 53): 'tau1^-1', (2, 20): 't3', (2, 56): 't3^-1', (0, 59): 'tau2^-1*t1*tau3*t2^-1', (2, 57): 't3^-1*tau1', (2, 24): 't2', (2, 11): 't2', (0, 13): 'tau2^-1', (2, 40): 't3^-1', (2, 55): 'tau1', (2, 33): 't2^-1', (0, 60): 't2', (0, 43): 'tau3^-1', (0, 57): 'tau2*t1^-1*tau3^-1*t2', (0, 24): 't2', (0, 17): 'tau3', (0, 7): 't1^-1', (2, 59): 't3*tau1^-1', (2, 46): 't3^-1', (0, 21): 'tau2^-1', (2, 39): 't3^-1', (2, 48): 't2^-1', (2, 9): 't3', }