U-tiling: UQC2957
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2303 |
*222222 |
(2,7,5) |
{8,3} |
{4.4.4.8.8.4.4.4}{4.4.8} |
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
|
True
|
|
sqc5784
|
|
Cmma |
67 |
orthorhombic |
{7,3} |
12 |
(2,7) |
|
G
|
False
|
|
sqc6445
|
|
C2/c |
15 |
monoclinic |
{8,3,3} |
12 |
(3,8) |
|
D
|
False
|
|
sqc1179
|
|
P4/mmm |
123 |
tetragonal |
{8,3} |
6 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.8.8.4.4.4}{4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:112:29 58 59 74 75 8 9 80 81 68 69 42 43 86 87 102 103 22 23 108 109 96 97 56 100 101 88 89 36 37 94 95 110 111 72 73 60 61 50 51 66 67 82 83 99 64 65 112 85 78 79 98 92 93 106 107,2 4 6 14 10 13 12 16 18 20 28 24 27 26 30 32 34 42 38 41 40 44 46 48 56 52 55 54 58 60 62 70 66 69 68 72 74 76 84 80 83 82 86 88 90 98 94 97 96 100 102 104 112 108 111 110,15 3 5 7 9 11 13 28 17 19 21 23 25 27 43 31 33 35 37 39 41 56 45 47 49 51 53 55 85 59 61 63 65 67 69 98 99 73 75 77 79 81 83 112 87 89 91 93 95 97 101 103 105 107 109 111:4 4 4 8 4 4 4 4 8 4 4 4,8 3 3 8 3 3 8 3 8 3 3 3> {(2, 97): 'tau1^-1', (0, 16): 'tau3*t2^-1', (0, 29): 'tau3^-1*t2', (0, 51): 't3^-1', (0, 60): 't3', (2, 111): 'tau1', (0, 18): 't2', (0, 31): 't2^-1', (2, 56): 'tau1', (0, 43): 'tau2*t3', (0, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 10): 't3', (0, 32): 't2^-1', (0, 3): 't3', (0, 57): 't3*tau2', (0, 24): 't2', (0, 59): 't3', (2, 98): 'tau1', (0, 17): 't2', (0, 38): 't2^-1', (0, 28): 't1', (0, 9): 't3', (0, 30): 'tau3^-1*t2', (0, 52): 't3^-1', (0, 42): 't1', (0, 23): 't2', (0, 44): 'tau2*t3', (0, 15): 'tau3*t2^-1', (0, 56): 't3*tau2*t1^-1*tau3^-1*t2', (0, 37): 't2^-1', (0, 4): 't3', (0, 58): 't3*tau2', }