U-tiling: UQC167
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc162 |
*2224 |
(2,2,2) |
{3,8} |
{6.4.6}{6.4.6.4.6.4.6.4} |
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
|
|
sqc517
|
cut
|
P4/mmm |
123 |
tetragonal |
{3,8} |
5 |
(2,2) |
|
G
|
False
|
|
sqc9749
|
|
I41/acd |
142 |
tetragonal |
{3,8} |
20 |
(2,3) |
|
D
|
False
|
|
sqc495
|
flt
|
I4/mmm |
139 |
tetragonal |
{8,3} |
5 |
(2,2) |
Topological data
| Vertex degrees | {3,8} |
| 2D vertex symbol | {6.4.6}{6.4.6.4.6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.2:160:6 4 5 9 10 16 14 15 19 20 36 24 25 46 29 30 51 34 35 39 40 61 44 45 49 50 54 55 66 59 60 64 65 69 70 86 74 75 96 79 80 91 84 85 89 90 94 95 99 100 126 104 105 121 109 110 131 114 115 136 119 120 124 125 129 130 134 135 139 140 151 144 145 156 149 150 154 155 159 160,2 13 59 25 7 18 69 30 12 74 35 17 89 45 22 33 79 27 43 94 32 104 37 53 99 120 42 124 47 63 84 140 52 129 150 57 73 85 62 109 160 67 88 100 72 110 77 103 115 82 108 87 130 92 123 135 97 128 102 145 107 112 143 139 117 148 134 122 155 127 132 153 137 158 142 159 147 154 152 157,11 3 5 16 8 10 13 15 18 20 31 23 25 41 28 30 33 35 51 38 40 43 45 61 48 50 53 55 71 58 60 63 65 86 68 70 73 75 101 78 80 106 83 85 88 90 121 93 95 126 98 100 103 105 108 110 141 113 115 146 118 120 123 125 128 130 151 133 135 156 138 140 143 145 148 150 153 155 158 160:6 4 4 6 6 6 6 4 6 4 4 4 4 4 6 6,3 8 3 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3> {(1, 88): 't1', (1, 108): 'tau3^-1', (1, 123): 'tau3^-1', (0, 45): 't2^-1', (0, 150): 'tau1^-1*t3', (1, 73): 't1', (1, 103): 'tau2', (1, 64): 't2', (1, 117): 't3^-1', (1, 153): 't2*tau3^-1*t1^-1*tau2', (1, 122): 't2^-1', (0, 75): 't3', (2, 50): 't3', (2, 145): 't3', (1, 102): 't3^-1', (0, 130): 'tau1^-1', (0, 90): 't2', (0, 155): 'tau1*t3^-1', (1, 112): 't3', (0, 20): 't3', (2, 140): 't3^-1', (1, 124): 't2^-1', (2, 100): 't3^-1', (1, 62): 't2', (2, 90): 't2', (0, 135): 'tau1', (1, 53): 'tau2^-1', (1, 158): 't2^-1*tau3*t1*tau2^-1', (1, 52): 't3', (2, 60): 't2', }