U-tiling: UQC1157
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1037 |
*22222 |
(2,5,3) |
{5,8} |
{4.4.3.4.4}{4.4.3.3.4.4.3.3} |
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) |
|
P
|
True
|
|
sqc8341
|
|
P4/mmm |
123 |
tetragonal |
{5,7} |
12 |
(2,5) |
|
G
|
False
|
|
sqc8858
|
|
I4122 |
98 |
tetragonal |
{5,8} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2368
|
|
P4222 |
93 |
tetragonal |
{5,8} |
6 |
(2,5) |
Topological data
| Vertex degrees | {5,8} |
| 2D vertex symbol | {4.4.3.4.4}{4.4.3.3.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.3:144:19 11 12 6 7 17 90 28 15 16 72 29 30 24 25 35 108 33 34 99 55 65 66 42 43 71 126 73 83 84 51 52 89 117 92 93 60 61 98 144 91 69 70 101 102 78 79 107 135 100 87 88 96 97 105 106 127 119 120 114 115 125 136 123 124 137 138 132 133 143 141 142,2 4 86 8 9 11 13 68 17 18 20 22 104 26 27 29 31 95 35 36 38 40 122 44 45 47 49 113 53 54 56 58 140 62 63 65 67 71 72 74 76 131 80 81 83 85 89 90 92 94 98 99 101 103 107 108 110 112 116 117 119 121 125 126 128 130 134 135 137 139 143 144,82 3 5 7 26 45 64 12 14 16 35 54 100 21 23 25 63 91 30 32 34 81 118 39 41 43 62 109 48 50 52 80 136 57 59 61 66 68 70 98 117 127 75 77 79 84 86 88 107 126 93 95 97 135 102 104 106 144 111 113 115 134 120 122 124 143 129 131 133 138 140 142:4 4 3 3 4 3 3 4 4 3 4 4 3 4 3 4 3 4 4 4,5 8 5 8 5 5 5 5 5 8 5 8> {(0, 80): 't1^-1', (0, 29): 't1', (0, 137): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 124): 'tau1', (2, 80): 't1^-1', (0, 18): 't1^-1', (0, 136): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 115): 't3^-1*tau2^-1', (0, 126): 't1*tau3*t2^-1', (0, 43): 't3', (2, 18): 't1^-1', (0, 101): 'tau3^-1', (0, 55): 'tau2^-1', (0, 45): 't2*tau3^-1', (2, 16): 't1^-1', (0, 34): 't1', (0, 47): 't2', (0, 142): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 100): 'tau3^-1', (0, 26): 't1^-1', (0, 135): 'tau2^-1*t3^-1', (0, 119): 'tau1', (0, 61): 'tau2^-1', (0, 38): 't3', (1, 22): 't1^-1', (0, 28): 't1', (2, 143): 't1^-1', (1, 76): 't1^-1', (0, 106): 'tau3^-1', (0, 52): 't2', (2, 126): 't1', (2, 70): 't3^-1*tau2^-1', (0, 54): 'tau2^-1*t3^-1', (0, 109): 'tau1^-1', (2, 106): 'tau3^-1*t2', (0, 56): 'tau2^-1', (0, 37): 't3', (0, 46): 't2', (2, 124): 't2^-1*tau3*t1', }