U-tiling: UQC2736
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2143 |
*222222 |
(2,7,5) |
{9,4} |
{4.4.4.4.3.4.4.4.4}{4.4.3.3} |
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) |
|
G
|
False
|
|
sqc5630
|
|
I212121 |
24 |
orthorhombic |
{9,4} |
8 |
(2,8) |
|
D
|
False
|
|
sqc1001
|
|
P222 |
16 |
orthorhombic |
{4,9} |
4 |
(2,7) |
Topological data
| Vertex degrees | {9,4} |
| 2D vertex symbol | {4.4.4.4.3.4.4.4.4}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<127.1:104:27 54 55 17 18 32 33 10 11 38 26 40 67 68 45 46 23 24 51 80 81 43 44 36 37 52 93 94 49 50 79 69 70 84 85 62 63 90 78 92 97 98 75 76 103 95 96 88 89 104 101 102,2 4 6 8 22 12 13 15 17 19 21 25 26 28 30 32 34 48 38 39 41 43 45 47 51 52 54 56 58 60 74 64 65 67 69 71 73 77 78 80 82 84 86 100 90 91 93 95 97 99 103 104,14 3 5 7 9 11 64 65 16 18 20 22 24 77 78 40 29 31 33 35 37 90 91 42 44 46 48 50 103 104 66 55 57 59 61 63 68 70 72 74 76 92 81 83 85 87 89 94 96 98 100 102:4 4 4 4 3 4 4 4 3 4 4 3 4 3,9 4 4 9 4 4 9 9> {(0, 103): 't1^-1*tau3^-1*t2', (0, 16): 't1^-1', (2, 12): 't2', (0, 94): 'tau2^-1*t3^-1', (2, 63): 't2^-1', (2, 25): 'tau3', (2, 51): 't3*tau1^-1*t2^-1*tau3*t1', (0, 43): 'tau2^-1*t3^-1', (2, 91): 't1^-1*tau3^-1*t2', (2, 38): 't3*tau1^-1', (0, 32): 't3', (0, 45): 'tau2^-1*t1', (0, 102): 'tau2^-1*t3^-1*tau1*t2', (1, 73): 'tau3^-1*t2', (0, 57): 't2^-1*tau1^-1', (0, 24): 't1^-1*tau2', (0, 5): 't3^-1', (0, 14): 't1^-1', (0, 17): 't1^-1', (1, 99): 't1^-1*tau3^-1*t2', (2, 52): 't2^-1*tau3', (0, 63): 't2^-1*tau1^-1', (2, 24): 'tau3', (0, 96): 'tau2^-1*t3^-1*tau1*t2', (2, 50): 't3*tau1^-1*t2^-1*tau3*t1', (0, 97): 'tau2^-1*t3^-1*tau1*t2', (0, 42): 'tau2^-1*t3^-1', (0, 95): 'tau2^-1*t3^-1', (0, 77): 'tau3^-1*t2', (2, 37): 't3*tau1^-1', (0, 44): 'tau2^-1*t1', (0, 15): 't1^-1', (0, 37): 't3', (0, 91): 't1^-1', (0, 58): 't2^-1*tau1^-1', }