U-tiling: UQC152
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc152 |
*2224 |
(2,2,2) |
{12,4} |
{3.4.3.3.4.3.3.4.3.3.4.3}{3.4.3.4} |
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
|
|
sqc376
|
|
P4/mmm |
123 |
tetragonal |
{12,4} |
3 |
(2,2) |
|
G
|
False
|
|
sqc9396
|
|
I41/acd |
142 |
tetragonal |
{12,4} |
12 |
(2,3) |
|
D
|
False
|
|
sqc3506
|
|
P42/nnm |
134 |
tetragonal |
{4,12} |
6 |
(2,2) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {3.4.3.3.4.3.3.4.3.3.4.3}{3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.2:160:6 3 5 8 10 16 13 15 18 20 36 23 25 46 28 30 51 33 35 38 40 61 43 45 48 50 53 55 66 58 60 63 65 68 70 86 73 75 96 78 80 91 83 85 88 90 93 95 98 100 126 103 105 121 108 110 131 113 115 136 118 120 123 125 128 130 133 135 138 140 151 143 145 156 148 150 153 155 158 160,2 8 24 15 7 29 20 12 18 34 17 44 22 38 35 27 48 45 32 53 37 119 55 42 63 47 139 65 52 149 57 68 84 75 62 159 67 99 90 72 88 109 77 98 114 105 82 93 110 87 129 92 134 125 97 130 102 128 144 107 123 112 133 145 117 138 150 122 154 127 132 155 137 160 142 153 147 158 152 157,56 4 5 66 9 10 71 14 15 86 19 20 76 24 25 91 29 30 101 34 35 96 39 40 121 44 45 81 49 50 126 54 55 59 60 106 64 65 69 70 74 75 79 80 84 85 89 90 94 95 99 100 104 105 109 110 136 114 115 131 119 120 124 125 129 130 134 135 139 140 156 144 145 151 149 150 154 155 159 160:3 4 4 3 3 3 3 4 3 4 3 4 4 3 3 4 3 4 3 3 3 3 3 3,12 4 12 12 12 4 4 4 4 4 4 4> {(2, 60): 'tau3', (1, 123): 't2^-1', (1, 124): 't2^-1', (1, 112): 'tau1', (1, 114): 't3', (1, 117): 'tau1^-1', (2, 50): 'tau2^-1', (1, 104): 't3^-1', (2, 40): 'tau3', (0, 45): 't2^-1', (1, 97): 't3^-1', (0, 35): 't3^-1', (0, 155): 'tau1*t3^-1', (2, 30): 'tau2^-1', (2, 150): 't2*tau3^-1*t1^-1*tau2', (1, 82): 't2^-1', (0, 150): 'tau1^-1*t3', (2, 140): 'tau2*t1^-1*tau3^-1*t2', (2, 15): 't1^-1', (2, 10): 't1^-1', (0, 130): 'tau1^-1', (1, 64): 't2', (0, 135): 'tau1', (1, 63): 't2', (1, 54): 't3', (1, 119): 't3^-1', (1, 47): 't2^-1', (1, 37): 't3^-1', (0, 90): 't2', (1, 157): 'tau1*t3^-1', (0, 95): 't3^-1', (1, 142): 't3^-1*tau1'}