U-tiling: UQC116
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc116 |
*2224 |
(2,3,2) |
{4,4} |
{4.6.6.4}{6.6.6.6} |
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
|
|
sqc466
|
mou
|
P4/mmm |
123 |
tetragonal |
{4,4} |
5 |
(2,3) |
|
G
|
False
|
|
sqc9589
|
|
I41/acd |
142 |
tetragonal |
{4,4} |
20 |
(2,3) |
|
D
|
False
|
|
sqc3658
|
|
P42/nnm |
134 |
tetragonal |
{4,4} |
10 |
(2,3) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.2:160:6 12 13 5 17 18 10 16 15 20 36 32 33 25 46 42 43 30 51 35 52 53 40 61 45 62 63 50 55 66 72 73 60 65 87 88 70 86 75 96 102 103 80 91 107 108 85 90 122 123 95 127 128 100 126 105 121 110 131 142 143 115 136 147 148 120 125 130 152 153 135 157 158 140 151 145 156 150 155 160,2 4 25 7 9 30 12 14 35 17 19 45 22 24 27 29 32 34 37 39 120 42 44 47 49 140 52 54 150 57 59 85 62 64 160 67 69 100 72 74 110 77 79 115 82 84 87 89 130 92 94 135 97 99 102 104 145 107 109 112 114 117 119 122 124 155 127 129 132 134 137 139 142 144 147 149 152 154 157 159,56 3 59 60 66 8 69 70 71 13 74 75 86 18 89 90 76 23 79 80 91 28 94 95 101 33 104 105 96 38 99 100 121 43 124 125 81 48 84 85 126 53 129 130 58 106 63 109 110 68 73 78 83 88 93 98 103 108 136 113 139 140 131 118 134 135 123 128 133 138 156 143 159 160 151 148 154 155 153 158:4 6 6 4 4 6 6 4 6 6 4 6 4 6 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 'tau3', (2, 63): 'tau3', (0, 62): 't2', (1, 124): 't2^-1', (0, 61): 't2', (0, 51): 't3', (2, 43): 'tau3', (0, 52): 't3', (2, 44): 'tau3', (2, 40): 'tau3', (0, 45): 't2^-1', (0, 35): 't3^-1', (2, 33): 'tau2^-1', (2, 34): 'tau2^-1', (0, 155): 'tau1*t3^-1', (2, 158): 't2^-1*tau3*t1*tau2^-1', (2, 153): 't2*tau3^-1*t1^-1*tau2', (2, 154): 't2*tau3^-1*t1^-1*tau2', (2, 155): 't2^-1*tau3*t1*tau2^-1', (2, 150): 't2*tau3^-1*t1^-1*tau2', (2, 144): 'tau2*t1^-1*tau3^-1*t2', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 13): 't1^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (0, 140): 't3^-1*tau1', (1, 64): 't2', (2, 128): 'tau2', (2, 129): 'tau2', (2, 50): 'tau2^-1', (0, 122): 't2^-1', (0, 121): 't2^-1', (2, 10): 't1^-1', (0, 115): 'tau1^-1', (0, 112): 't3', (2, 30): 'tau2^-1', (0, 116): 't3^-1', (0, 117): 't3^-1', (2, 109): 'tau3^-1', (0, 110): 'tau1', (0, 111): 't3', (0, 102): 't3^-1', (0, 101): 't3^-1', (0, 90): 't2', (0, 95): 't3^-1'}