U-tiling: UQC134
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc137 |
*2244 |
(2,3,2) |
{12,4} |
{4.4.4.4.4.4.4.4.4.4.4.4}{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
|
|
sqc61
|
fsd
|
P4/mmm |
123 |
tetragonal |
{4,6} |
3 |
(2,3) |
|
G
|
False
|
|
sqc3117
|
|
I41/a |
88 |
tetragonal |
{4,12} |
6 |
(2,3) |
|
D
|
True
|
|
sqc1632
|
|
I41/amd |
141 |
tetragonal |
{4,8} |
6 |
(2,3) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {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
<6.1:80:31 3 34 35 36 8 39 40 41 13 44 45 51 18 54 55 56 23 59 60 46 28 49 50 33 38 43 48 53 58 76 63 79 80 71 68 74 75 73 78,2 4 15 7 9 20 12 14 17 19 22 24 70 27 29 80 32 34 50 37 39 60 42 44 65 47 49 52 54 75 57 59 62 64 67 69 72 74 77 79,6 32 33 5 37 38 10 21 42 43 15 26 52 53 20 57 58 25 47 48 30 36 35 40 56 45 51 50 55 60 71 77 78 65 76 72 73 70 75 80:4 4 4 4 4 4 4 4 4 4,4 12 12 4 4 4> {(0, 29): 't2^-1*tau3', (2, 20): 't3^-1', (0, 74): 't2*tau3^-1*t1^-1*tau2*t3', (0, 55): 'tau2*t3', (0, 45): 'tau3^-1*t2', (0, 34): 't1', (0, 59): 'tau2*t3', (0, 48): 'tau3^-1*t2', (0, 38): 't1', (0, 63): 't3*tau2*t1^-1*tau3^-1*t2', (0, 30): 't1', (2, 50): 't2', (0, 23): 't3^-1*tau2^-1', (0, 64): 't3*tau2*t1^-1*tau3^-1*t2', (0, 13): 'tau2^-1*t3^-1', (0, 35): 't1', (2, 55): 't3^-1', (0, 39): 't1', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (2, 25): 't2^-1', (0, 53): 't2*tau3^-1', (0, 65): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 73): 't2*tau3^-1*t1^-1*tau2*t3', (0, 50): 't2*tau3^-1', (0, 40): 't3*tau2', (0, 33): 't1', (2, 75): 'tau1', (0, 54): 't2*tau3^-1', (0, 44): 't3*tau2', (2, 60): 'tau1', }