U-tiling: UQC2384
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1261 |
*2244 |
(2,5,5) |
{7,3} |
{4.4.4.4.4.4.4}{4.4.4} |
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
|
False
|
|
sqc3162
|
|
P4/mmm |
123 |
tetragonal |
{7,3} |
8 |
(2,5) |
|
G
|
False
|
|
sqc9431
|
|
I-42d |
122 |
tetragonal |
{3,7} |
16 |
(2,5) |
|
D
|
False
|
|
sqc3480
|
|
P-42m |
111 |
tetragonal |
{7,3} |
8 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<108.1:160:3 62 64 65 66 87 88 19 20 13 72 74 75 76 97 98 23 32 34 35 36 107 108 49 50 33 117 118 59 60 43 52 54 55 56 127 128 53 137 138 63 147 148 79 80 73 157 158 83 142 144 145 146 99 100 93 152 154 155 156 103 112 114 115 116 129 130 113 139 140 123 132 134 135 136 133 143 159 160 153,2 4 25 7 9 30 12 14 35 17 19 40 22 24 27 29 32 34 37 39 42 44 65 47 49 70 52 54 75 57 59 80 62 64 67 69 72 74 77 79 82 84 105 87 89 110 92 94 115 97 99 120 102 104 107 109 112 114 117 119 122 124 145 127 129 150 132 134 155 137 139 160 142 144 147 149 152 154 157 159,21 6 23 5 8 10 31 16 33 15 18 20 26 25 28 30 36 35 38 40 61 46 63 45 48 50 71 56 73 55 58 60 66 65 68 70 76 75 78 80 101 86 103 85 88 90 111 96 113 95 98 100 106 105 108 110 116 115 118 120 141 126 143 125 128 130 151 136 153 135 138 140 146 145 148 150 156 155 158 160:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,7 3 7 3 7 3 7 3 7 3 7 3 7 3 7 3> {(2, 150): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 100): 't2^-1', (2, 112): 'tau3^-1', (1, 149): 'tau1^-1', (1, 154): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 142): 'tau1^-1', (1, 59): 't3*tau2*t3', (2, 140): 'tau1^-1', (1, 114): 'tau3^-1', (1, 74): 't3^-1*tau2^-1*t3^-1', (1, 104): 't2^-1', (2, 32): 't1', (1, 124): 'tau1', (1, 39): 't1', (2, 102): 't2^-1', (2, 30): 't1', (1, 64): 't3^-1', (0, 14): 't1^-1*tau2*t3', (0, 59): 't3*tau2*t1^-1', (0, 154): 't3^-1*tau2^-1*t1', (0, 11): 't1^-1*tau2*t3', (1, 99): 'tau3', (0, 38): 't1*tau2^-1*t3^-1', (2, 52): 't3*tau2*t3', (1, 14): 't1^-1', (1, 109): 't2^-1', (2, 152): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 139): 't3*tau2*t1^-1', (2, 50): 't3*tau2*t3', (0, 151): 't3^-1*tau2^-1*t1', (1, 69): 't3^-1', (0, 13): 't1^-1*tau2*t3', (0, 118): 't1*tau2^-1*t3^-1', (0, 153): 't3^-1*tau2^-1*t1', (2, 110): 'tau3^-1', (0, 15): 't1^-1*tau2*t3', (2, 62): 't3^-1', (1, 139): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 155): 't3^-1*tau2^-1*t1', (2, 60): 't3^-1', }