U-tiling: UQC2477
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1743 |
*2244 |
(2,5,5) |
{5,6} |
{4.4.3.4.4}{4.4.4.3.4.3} |
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
|
|
sqc9457
|
|
P42/mmc |
131 |
tetragonal |
{4,6} |
16 |
(2,5) |
|
G
|
False
|
|
sqc10302
|
|
I-42d |
122 |
tetragonal |
{5,6} |
16 |
(2,6) |
|
D
|
False
|
|
sqc4316
|
|
P-42m |
111 |
tetragonal |
{6,5} |
8 |
(2,5) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {4.4.3.4.4}{4.4.4.3.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<118.1:176:89 13 14 6 7 19 20 76 77 100 17 18 87 88 111 46 47 28 29 52 53 43 44 122 57 58 39 40 63 64 133 50 51 65 66 144 61 62 155 79 80 72 73 85 86 166 83 84 101 102 94 95 107 108 164 165 105 106 175 176 134 135 116 117 140 141 131 132 145 146 127 128 151 152 138 139 153 154 149 150 167 168 160 161 173 174 171 172,2 4 71 8 10 31 33 13 15 82 19 21 42 44 24 26 38 30 32 35 37 41 43 46 48 60 52 54 75 77 57 59 63 65 86 88 68 70 74 76 79 81 85 87 90 92 159 96 98 119 121 101 103 170 107 109 130 132 112 114 126 118 120 123 125 129 131 134 136 148 140 142 163 165 145 147 151 153 174 176 156 158 162 164 167 169 173 175,67 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 99 166 102 104 106 108 110 122 113 115 117 119 121 124 126 128 130 132 144 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 4 3 4 4 3 4 4 3 4 4 3 4 4 4 3 4 4 3 4 3 4 3 4,5 6 5 6 5 5 6 6 5 6 5 6 5 5 6 6> {(1, 162): 'tau1^-1', (1, 118): 't2^-1', (1, 85): 't3^-1*tau2^-1*t3^-1', (0, 62): 't3*tau2*t1^-1', (0, 150): 't3*tau2*t1^-1', (1, 103): 't1^-1*tau2*t3', (1, 76): 't3^-1', (0, 63): 't3*tau2*t1^-1', (1, 173): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 87): 't3^-1*tau2^-1*t3^-1', (1, 142): 'tau1', (0, 151): 't3*tau2*t1^-1', (2, 11): 't1^-1*tau2*t3', (2, 165): 't3^-1*tau2^-1*t1', (0, 108): 't1^-1*tau2*t3', (0, 56): 't3*tau2*t1^-1', (1, 107): 'tau3', (1, 41): 't1', (0, 144): 't3*tau2*t1^-1', (0, 20): 't1^-1*tau2*t3', (1, 81): 't3^-1*tau2^-1*t1', (0, 57): 't3*tau2*t1^-1', (0, 175): 't3^-1*tau2^-1*t1', (0, 145): 't3*tau2*t1^-1', (1, 120): 't2^-1', (1, 109): 'tau3', (0, 21): 't1^-1*tau2*t3', (1, 175): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 74): 't3^-1', (1, 43): 't1', }