U-tiling: UQC1976
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1632 |
*22222 |
(2,5,4) |
{4,6} |
{4.8.3.4}{3.8.8.3.8.8} |
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
|
True
|
|
sqc10043
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
20 |
(2,5) |
|
G
|
False
|
|
sqc10291
|
|
I4122 |
98 |
tetragonal |
{6,4,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc4152
|
|
P4222 |
93 |
tetragonal |
{4,6} |
10 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.8.3.4}{3.8.8.3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.2:176:100 4 5 28 29 19 20 32 33 78 15 16 39 40 43 44 122 26 27 41 42 111 37 38 144 48 49 72 73 85 86 76 77 133 59 60 94 95 107 108 98 99 166 70 71 118 119 81 82 116 117 120 121 155 92 93 129 130 103 104 127 128 131 132 114 115 125 126 136 137 160 161 151 152 164 165 147 148 171 172 175 176 158 159 173 174 169 170,2 25 6 11 8 10 13 36 17 22 19 21 24 28 33 30 32 35 39 44 41 43 46 69 50 55 52 54 57 91 61 66 63 65 68 72 77 74 76 79 113 83 88 85 87 90 94 99 96 98 101 124 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 157 138 143 140 142 145 168 149 154 151 153 156 160 165 162 164 167 171 176 173 175,45 3 5 7 9 11 56 14 16 18 20 22 67 25 27 29 31 33 89 36 38 40 42 44 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 133 80 82 84 86 88 91 93 95 97 99 144 102 104 106 108 110 155 113 115 117 119 121 166 124 126 128 130 132 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:8 3 4 4 8 3 8 3 4 4 8 3 4 4 3 3 3 4 4 3,6 4 6 4 4 4 4 4 4 6 4 4 6 4 4 4 4 4 4 4> {(0, 41): 't1', (0, 117): 'tau2', (0, 129): 'tau3^-1', (0, 173): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 22): 't1^-1', (0, 154): 't1', (0, 63): 't2', (0, 42): 't1', (0, 151): 'tau1', (0, 118): 'tau2', (0, 163): 'tau2*t3', (0, 130): 'tau3^-1*t2', (0, 174): 't1^-1*tau3^-1*t2', (0, 27): 't1^-1', (1, 123): 'tau3^-1*t2', (0, 159): 't1*tau3*t2^-1', (1, 112): 'tau2*t3', (0, 171): 'tau2^-1*t3^-1', (1, 167): 't1^-1*tau3^-1*t2', (0, 164): 'tau2*t3', (0, 61): 't2*tau3^-1', (1, 35): 't1', (0, 28): 't1^-1', (2, 121): 't1', (0, 40): 't1', (0, 128): 'tau3^-1', (0, 172): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 51): 't3', (0, 62): 't2', (0, 150): 'tau1', (0, 52): 't3', (0, 170): 'tau2^-1*t3^-1', (1, 156): 'tau2*t3', (0, 49): 't3*tau2', (2, 33): 't1', (0, 60): 't2*tau3^-1', (0, 43): 't1', (0, 119): 'tau2*t3', (0, 160): 't1*tau3*t2^-1', (0, 131): 'tau3^-1*t2', (0, 175): 't1^-1*tau3^-1*t2', (0, 50): 't3*tau2', (0, 120): 'tau2*t3', }