U-tiling: UQC2385
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
|
|
sqc9494
|
|
P4/nmm |
129 |
tetragonal |
{3,7} |
16 |
(2,5) |
|
G
|
False
|
|
sqc9456
|
|
I41/a |
88 |
tetragonal |
{3,7} |
16 |
(2,5) |
|
D
|
False
|
|
sqc9641
|
|
I41/amd |
141 |
tetragonal |
{3,7} |
16 |
(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 17 18 69 70 13 72 74 75 76 79 80 23 82 84 85 86 47 48 89 90 33 102 104 105 106 57 58 109 110 43 112 114 115 116 119 120 53 92 94 95 96 99 100 63 77 78 73 83 117 118 93 107 108 103 113 123 152 154 155 156 147 148 159 160 133 142 144 145 146 157 158 149 150 143 153,2 4 25 7 9 30 12 14 35 17 19 40 22 24 27 29 32 34 37 39 42 44 135 47 49 140 52 54 155 57 59 160 62 64 95 67 69 100 72 74 115 77 79 120 82 84 125 87 89 130 92 94 97 99 102 104 145 107 109 150 112 114 117 119 122 124 127 129 132 134 137 139 142 144 147 149 152 154 157 159,21 6 23 5 8 10 31 16 33 15 18 20 26 25 28 30 36 35 38 40 131 46 133 45 48 50 151 56 153 55 58 60 91 66 93 65 68 70 111 76 113 75 78 80 121 86 123 85 88 90 96 95 98 100 141 106 143 105 108 110 116 115 118 120 126 125 128 130 136 135 138 140 146 145 148 150 156 155 158 160:4 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> {(0, 29): 'tau2^-1*t3^-1', (0, 18): 't1^-1', (0, 8): 't1^-1', (0, 117): 't3^-1', (0, 107): 't2', (0, 59): 't2^-1*tau3', (0, 48): 't3^-1*tau2^-1', (0, 38): 'tau3*t2^-1', (0, 19): 't1^-1', (0, 9): 't1^-1', (0, 146): 'tau1^-1', (0, 158): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 136): 'tau1^-1', (0, 56): 't2^-1', (0, 46): 't3^-1', (0, 49): 't3^-1*tau2^-1', (0, 39): 'tau3*t2^-1', (0, 137): 'tau1^-1', (0, 159): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 148): 't2*tau3^-1*t1^-1*tau2*t3', (0, 57): 't2^-1', (0, 47): 't3^-1', (0, 147): 'tau1^-1', (0, 28): 'tau2^-1*t3^-1', (0, 149): 't2*tau3^-1*t1^-1*tau2*t3', (0, 116): 't3^-1', (0, 106): 't2', (0, 58): 't2^-1*tau3', }