U-tiling: UQC137
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc138 |
*2224 |
(2,3,2) |
{3,4} |
{4.8.8}{8.8.8.8} |
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
|
False
|
|
sqc476
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
6 |
(2,3) |
|
G
|
False
|
|
sqc9684
|
|
I41/acd |
142 |
tetragonal |
{4,3} |
24 |
(2,3) |
|
D
|
False
|
|
sqc3701
|
|
P42/nnm |
134 |
tetragonal |
{4,3} |
12 |
(2,3) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {4.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:160:11 3 24 25 16 8 29 30 13 34 35 18 44 45 31 23 41 28 33 51 38 119 120 43 61 48 139 140 53 149 150 71 58 84 85 63 159 160 86 68 99 100 73 109 110 101 78 114 115 106 83 88 129 130 121 93 134 135 126 98 103 144 145 108 141 113 146 118 123 154 155 128 151 133 156 138 143 148 153 158,2 4 60 7 9 70 12 14 75 17 19 90 22 24 80 27 29 95 32 34 105 37 39 100 42 44 125 47 49 85 52 54 130 57 59 62 64 110 67 69 72 74 77 79 82 84 87 89 92 94 97 99 102 104 107 109 112 114 140 117 119 135 122 124 127 129 132 134 137 139 142 144 160 147 149 155 152 154 157 159,6 57 58 5 67 68 10 16 72 73 15 87 88 20 36 77 78 25 46 92 93 30 51 102 103 35 97 98 40 61 122 123 45 82 83 50 127 128 55 66 60 107 108 65 70 86 75 96 80 91 85 90 95 100 126 105 121 110 131 137 138 115 136 132 133 120 125 130 135 140 151 157 158 145 156 152 153 150 155 160:8 4 8 4 4 4 8 8 8 8 8 8,4 3 3 4 3 3 4 3 4 3 4 3 3 4 3 3 3 3 4 3 3 4 3 3> {(1, 34): 'tau2^-1', (2, 150): 'tau1^-1*t3', (2, 155): 'tau1*t3^-1', (0, 124): 't2^-1', (1, 54): 'tau2^-1', (0, 60): 't2', (1, 149): 'tau2^-1*t1*tau3*t2^-1', (0, 159): 't2^-1', (2, 51): 'tau2^-1', (2, 45): 't2^-1', (2, 146): 'tau2^-1*t1*tau3*t2^-1', (2, 135): 'tau1', (2, 12): 't1^-1', (2, 16): 't1^-1', (0, 140): 't3^-1', (1, 124): 'tau3^-1', (0, 120): 't2^-1', (2, 41): 'tau3', (2, 61): 'tau3', (0, 100): 't3^-1', (0, 145): 't3', (2, 156): 't2^-1*tau3*t1*tau2^-1', (2, 32): 'tau2^-1', (1, 89): 't1', (2, 52): 'tau2^-1', (0, 63): 't2', (1, 109): 'tau3^-1', (2, 147): 'tau2^-1*t1*tau3*t2^-1', (2, 95): 't3^-1', (2, 17): 't1^-1', (0, 153): 't2', (2, 11): 't1^-1', (2, 80): 't2^-1', (0, 35): 't3^-1', (2, 42): 'tau3', (2, 31): 'tau2^-1', (1, 74): 't1', (2, 62): 'tau3', (2, 35): 't3^-1', (1, 159): 't2^-1*tau3*t1*tau2^-1', (2, 157): 't2^-1*tau3*t1*tau2^-1', (2, 130): 'tau1^-1', }