U-tiling: UQC5037
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1851 |
*2244 |
(4,5,2) |
{4,16,3,8} |
{5.5.5.5}{5.3.3.5.5.3.3.5.5.3.3.... |
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
|
|
sqc9946
|
|
P42/mmc |
131 |
tetragonal |
{3,16,3,8} |
16 |
(4,5) |
|
G
|
False
|
|
sqc10174
|
|
I-42d |
122 |
tetragonal |
{4,16,3,8} |
16 |
(4,6) |
|
D
|
False
|
|
sqc4221
|
|
P-42m |
111 |
tetragonal |
{4,3,8,16} |
8 |
(4,5) |
Topological data
| Vertex degrees | {4,16,3,8} |
| 2D vertex symbol | {5.5.5.5}{5.3.3.5.5.3.3.5.5.3.3.5.5.3.3.5}{5.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:176:67 3 5 7 9 11 78 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 155 91 93 95 97 99 166 102 104 106 108 110 122 113 115 117 119 121 124 126 128 130 132 144 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176,2 4 71 8 11 10 13 15 82 19 22 21 24 26 38 30 33 32 35 37 41 44 43 46 48 60 52 55 54 57 59 63 66 65 68 70 74 77 76 79 81 85 88 87 90 92 159 96 99 98 101 103 170 107 110 109 112 114 126 118 121 120 123 125 129 132 131 134 136 148 140 143 142 145 147 151 154 153 156 158 162 165 164 167 169 173 176 175,89 13 14 6 7 30 31 76 77 100 17 18 41 42 87 88 111 46 47 28 29 43 44 122 57 58 39 40 133 50 51 74 75 65 66 144 61 62 85 86 155 79 80 72 73 166 83 84 101 102 94 95 118 119 164 165 105 106 129 130 175 176 134 135 116 117 131 132 145 146 127 128 138 139 162 163 153 154 149 150 173 174 167 168 160 161 171 172:5 3 5 3 5 3 3 5 3 3 3 3 5 3 5 3 5 3 3 5 3 3 3 3,4 16 3 8 3 4 3 4 3 4 16 3 8 3 3 3> {(2, 62): 't3*tau2*t3', (2, 63): 't3*tau2*t3', (2, 56): 't3*tau2*t1^-1', (2, 57): 't3*tau2*t1^-1', (2, 52): 't3', (2, 51): 't3', (2, 172): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 173): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 174): 't3^-1*tau2^-1*t1', (2, 175): 't3^-1*tau2^-1*t1', (2, 40): 't1', (2, 41): 't1', (2, 161): 'tau1^-1', (1, 103): 't1^-1*tau2*t3', (0, 165): 't3^-1*tau2^-1*t1', (2, 20): 't1^-1*tau2*t3', (2, 21): 't1^-1*tau2*t3', (2, 144): 't3*tau2*t1^-1', (2, 145): 't3*tau2*t1^-1', (2, 140): 'tau1', (0, 11): 't1^-1*tau2*t3', (2, 128): 'tau3^-1', (2, 129): 'tau3^-1', (2, 117): 't2^-1', (2, 118): 't2^-1', (1, 15): 't1^-1*tau2*t3'}