U-tiling: UQC187
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc170 |
*2244 |
(2,2,2) |
{3,8} |
{12.4.12}{12.4.12.4.12.4.12.4} |
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
|
False
|
|
sqc494
|
tty
|
P4/mmm |
123 |
tetragonal |
{3,8} |
5 |
(2,2) |
|
G
|
False
|
|
sqc3777
|
|
I41/a |
88 |
tetragonal |
{3,8} |
10 |
(2,3) |
|
D
|
False
|
|
sqc3782
|
|
I41/amd |
141 |
tetragonal |
{3,8} |
10 |
(2,2) |
Topological data
| Vertex degrees | {3,8} |
| 2D vertex symbol | {12.4.12}{12.4.12.4.12.4.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:80:31 4 5 36 9 10 41 14 15 51 19 20 56 24 25 46 29 30 34 35 39 40 44 45 49 50 54 55 59 60 76 64 65 71 69 70 74 75 79 80,2 8 14 35 7 19 40 12 23 45 17 28 55 22 69 60 27 79 50 32 38 49 37 59 42 58 64 47 53 52 74 57 62 73 80 67 78 75 72 77,6 3 5 8 10 21 13 15 26 18 20 23 25 28 30 36 33 35 38 40 56 43 45 51 48 50 53 55 58 60 71 63 65 76 68 70 73 75 78 80:12 4 12 4 4 4,3 8 8 3 3 3 3 3 3 3> {(1, 27): 't2^-1', (1, 22): 't3^-1', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (0, 50): 't2*tau3^-1', (2, 25): 't2^-1', (0, 40): 't3*tau2', (0, 30): 't1', (2, 50): 't2', (0, 45): 'tau3^-1*t2', (0, 55): 'tau2*t3', (1, 72): 'tau1^-1', (0, 70): 't2*tau3^-1*t1^-1*tau2*t3', (0, 35): 't1', (1, 52): 't2', (1, 77): 'tau1', (2, 20): 't3^-1', (2, 60): 'tau1', (2, 75): 'tau1', (2, 55): 't3^-1', (1, 57): 't3^-1', }