U-tiling: UQC2037
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1659 |
*2244 |
(2,5,4) |
{4,6} |
{8.4.3.8}{3.4.4.3.4.4} |
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
|
True
|
|
sqc10054
|
|
P42/mmc |
131 |
tetragonal |
{5,4} |
20 |
(2,5) |
|
G
|
False
|
|
sqc10297
|
|
I-42d |
122 |
tetragonal |
{6,4,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc4147
|
|
P-42m |
111 |
tetragonal |
{4,6} |
10 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {8.4.3.8}{3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:176:12 4 5 17 18 30 31 76 77 15 16 41 42 87 88 45 26 27 50 51 43 44 56 37 38 61 62 48 49 74 75 65 66 59 60 85 86 78 70 71 83 84 81 82 100 92 93 105 106 118 119 164 165 103 104 129 130 175 176 133 114 115 138 139 131 132 144 125 126 149 150 136 137 162 163 153 154 147 148 173 174 166 158 159 171 172 169 170,2 69 6 11 8 10 13 80 17 22 19 21 24 36 28 33 30 32 35 39 44 41 43 46 58 50 55 52 54 57 61 66 63 65 68 72 77 74 76 79 83 88 85 87 90 157 94 99 96 98 101 168 105 110 107 109 112 124 116 121 118 120 123 127 132 129 131 134 146 138 143 140 142 145 149 154 151 153 156 160 165 162 164 167 171 176 173 175,89 3 5 7 9 11 100 14 16 18 20 22 111 25 27 29 31 33 122 36 38 40 42 44 133 47 49 51 53 55 144 58 60 62 64 66 155 69 71 73 75 77 166 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 3 8 8 3 4 3 4 3 4 4 3 8 8 3 4 3 4 3 4,6 4 6 4 6 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 51): 't3', (0, 41): 't1', (0, 117): 't2^-1', (0, 62): 't3*tau2*t3', (0, 129): 'tau3^-1', (0, 55): 't3*tau2*t1^-1', (0, 173): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 162): 'tau1^-1', (0, 63): 't3*tau2*t3', (0, 52): 't3', (0, 118): 't2^-1', (0, 174): 't3^-1*tau2^-1*t1', (0, 60): 't3*tau2*t1^-1', (0, 126): 't1*tau2^-1*t3^-1', (0, 20): 't1^-1*tau2*t3', (1, 79): 't3^-1*tau2^-1*t1', (1, 101): 't1^-1*tau2*t3', (0, 175): 't3^-1*tau2^-1*t1', (0, 61): 't3*tau2*t1^-1', (0, 127): 't1*tau2^-1*t3^-1', (0, 40): 't1', (0, 21): 't1^-1*tau2*t3', (0, 139): 'tau1', (0, 128): 'tau3^-1', (0, 172): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 143): 't3*tau2*t1^-1', }