U-tiling: UQC1334
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1429 |
*2244 |
(2,5,3) |
{3,4} |
{8.16.4}{4.4.16.16} |
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
|
|
sqc9581
|
|
P4/nmm |
129 |
tetragonal |
{4,3} |
24 |
(2,5) |
|
G
|
False
|
|
sqc9580
|
|
I41/a |
88 |
tetragonal |
{4,3,3} |
24 |
(3,6) |
|
D
|
False
|
|
sqc9582
|
|
I41/amd |
141 |
tetragonal |
{4,3} |
24 |
(2,5) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {8.16.4}{4.4.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:160:61 4 5 66 67 28 29 70 71 14 15 76 77 38 39 80 81 24 25 86 87 90 101 34 35 106 107 110 111 44 45 116 117 138 139 120 91 54 55 96 97 158 159 100 64 65 98 99 74 75 118 119 84 85 128 129 94 95 104 105 148 149 114 115 151 124 125 156 157 160 141 134 135 146 147 150 144 145 154 155,2 10 6 9 8 12 20 16 19 18 22 30 26 29 28 32 40 36 39 38 42 50 46 49 48 52 60 56 59 58 62 70 66 69 68 72 80 76 79 78 82 90 86 89 88 92 100 96 99 98 102 110 106 109 108 112 120 116 119 118 122 130 126 129 128 132 140 136 139 138 142 150 146 149 148 152 160 156 159 158,11 3 5 7 9 20 13 15 17 19 41 23 25 27 29 50 51 33 35 37 39 60 43 45 47 49 53 55 57 59 71 63 65 67 69 80 73 75 77 79 111 83 85 87 89 120 101 93 95 97 99 110 103 105 107 109 113 115 117 119 141 123 125 127 129 150 151 133 135 137 139 160 143 145 147 149 153 155 157 159:4 16 8 4 16 8 4 4 4 4 4 4,4 3 3 4 3 4 3 3 3 4 3 3 4 3 4 3 3 3 4 3 4 3 3 3> {(2, 150): 'tau1', (0, 6): 't1^-1', (0, 60): 't1', (2, 20): 't3', (2, 120): 'tau1', (2, 109): 't2', (0, 20): 'tau2^-1*t3^-1', (0, 10): 't1^-1', (0, 55): 't2^-1*tau3', (0, 45): 't3^-1*tau2^-1', (0, 150): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 140): 't2*tau3^-1*t1^-1*tau2*t3', (2, 100): 't2', (2, 139): 'tau1^-1', (0, 5): 't1^-1', (0, 36): 'tau3*t2^-1', (0, 145): 't2*tau3^-1*t1^-1*tau2*t3', (0, 26): 'tau2^-1*t3^-1', (2, 59): 't2^-1', (0, 125): 't3*tau2*t1^-1*tau3^-1*t2', (2, 149): 'tau1^-1', (0, 156): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 50): 't2^-1*tau3', (0, 146): 't2*tau3^-1*t1^-1*tau2*t3', (0, 40): 't3^-1*tau2^-1', (0, 30): 'tau3*t2^-1', (2, 50): 't2^-1', (0, 16): 't1^-1', (0, 35): 'tau3*t2^-1', (0, 25): 'tau2^-1*t3^-1', (2, 110): 't3^-1', (0, 15): 't1^-1', (0, 56): 't2^-1*tau3', (0, 46): 't3^-1*tau2^-1', (2, 29): 't3', (2, 119): 't3^-1', }