U-tiling: UQC1316
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1424 |
*22222 |
(2,5,3) |
{3,8} |
{4.8.4}{4.4.8.8.4.4.8.8} |
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
|
|
sqc2984
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
10 |
(2,5) |
|
G
|
False
|
|
sqc9403
|
|
I4122 |
98 |
tetragonal |
{8,3,3} |
20 |
(3,6) |
|
D
|
False
|
|
sqc3130
|
|
P4222 |
93 |
tetragonal |
{3,8} |
10 |
(2,5) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.8.4}{4.4.8.8.4.4.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.3:160:21 4 5 26 27 18 19 30 31 14 15 36 37 40 24 25 38 39 34 35 61 44 45 66 67 78 79 70 81 54 55 86 87 98 99 90 64 65 108 109 101 74 75 106 107 110 84 85 118 119 111 94 95 116 117 120 104 105 114 115 141 124 125 146 147 138 139 150 151 134 135 156 157 160 144 145 158 159 154 155,2 10 6 9 8 12 20 16 19 18 22 30 26 29 28 32 40 36 39 38 42 50 46 49 48 52 60 56 59 58 62 70 66 69 68 72 80 76 79 78 82 90 86 89 88 92 100 96 99 98 102 110 106 109 108 112 120 116 119 118 122 130 126 129 128 132 140 136 139 138 142 150 146 149 148 152 160 156 159 158,91 3 5 7 9 50 71 13 15 17 19 60 111 23 25 27 29 70 101 33 35 37 39 90 131 43 45 47 49 121 53 55 57 59 151 63 65 67 69 73 75 77 79 130 141 83 85 87 89 93 95 97 99 140 103 105 107 109 150 113 115 117 119 160 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159:4 8 4 4 4 8 4 4 8 4 4 4 4 8 4 4,8 3 8 3 8 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3> {(0, 157): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 0): 't1', (0, 60): 'tau2^-1*t3^-1', (2, 20): 't1^-1', (0, 136): 't3*tau2', (0, 107): 'tau2', (2, 140): 't1', (0, 55): 't2*tau3^-1', (0, 45): 't3*tau2', (0, 150): 'tau2^-1*t3^-1', (0, 140): 't1*tau3*t2^-1', (0, 57): 't2', (0, 47): 't3', (0, 26): 't1^-1', (0, 135): 't3*tau2', (0, 48): 't3', (0, 125): 't2*tau3^-1*t1^-1', (0, 38): 't1', (0, 19): 't1^-1', (0, 137): 'tau1', (0, 50): 't2*tau3^-1', (0, 146): 't1*tau3*t2^-1', (0, 149): 'tau2*t3', (0, 158): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 139): 't2^-1*tau3*t1', (0, 109): 'tau2*t3', (2, 39): 't1', (0, 87): 'tau3', (0, 128): 'tau1^-1', (0, 118): 'tau3^-1', (0, 99): 't2^-1*tau3', (0, 108): 'tau2', (0, 25): 't1^-1', (0, 56): 't2*tau3^-1', (0, 37): 't1', (0, 46): 't3*tau2', (2, 119): 't1', (0, 58): 't2', }