U-tiling: UQC157
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc156 |
*2224 |
(2,2,2) |
{6,4} |
{3.8.3.3.8.3}{3.8.3.8} |
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
|
|
sqc3793
|
|
I4/mmm |
139 |
tetragonal |
{4,6} |
8 |
(2,2) |
|
G
|
False
|
|
sqc9763
|
|
I41/acd |
142 |
tetragonal |
{6,4} |
16 |
(2,3) |
|
D
|
False
|
|
sqc502
|
pts-x
|
P42/mmc |
131 |
tetragonal |
{6,4} |
4 |
(2,2) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {3.8.3.3.8.3}{3.8.3.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.1:160:6 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 60 7 29 70 12 18 34 75 17 44 90 22 38 80 27 48 95 32 53 105 37 119 100 42 63 125 47 139 85 52 149 130 57 68 84 62 159 110 67 99 72 88 109 77 98 114 82 93 87 129 92 134 97 102 128 144 107 123 112 133 140 117 138 135 122 154 127 132 137 142 153 160 147 158 155 152 157,11 4 5 16 9 10 14 15 19 20 31 24 25 41 29 30 34 35 51 39 40 44 45 61 49 50 54 55 71 59 60 64 65 86 69 70 74 75 101 79 80 106 84 85 89 90 121 94 95 126 99 100 104 105 109 110 141 114 115 146 119 120 124 125 129 130 151 134 135 156 139 140 144 145 149 150 154 155 159 160:3 8 8 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3,6 4 6 4 4 4 4 6 4 6 6 6 6 6 4 4> {(2, 60): 't2', (1, 123): 't2^-1', (1, 124): 'tau3^-1', (1, 112): 'tau1', (1, 117): 'tau1^-1', (2, 50): 't3', (1, 104): 'tau2', (1, 109): 'tau3^-1', (0, 45): 't2^-1', (1, 97): 't3^-1', (0, 35): 't3^-1', (1, 89): 't1', (0, 155): 'tau1*t3^-1', (1, 82): 't2^-1', (0, 150): 'tau1^-1*t3', (2, 145): 't3', (2, 140): 't3^-1', (1, 74): 't1', (0, 130): 'tau1^-1', (0, 135): 'tau1', (2, 120): 't2^-1', (1, 63): 't2', (1, 54): 'tau2^-1', (1, 47): 't2^-1', (1, 37): 't3^-1', (1, 152): 'tau1^-1*t3', (1, 154): 't2*tau3^-1*t1^-1*tau2', (1, 157): 'tau1*t3^-1', (0, 95): 't3^-1', (1, 159): 't2^-1*tau3*t1*tau2^-1', (0, 80): 't2^-1', (2, 75): 't3'}