U-tiling: UQC4684
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1527 |
*2244 |
(4,4,2) |
{3,12,4,8} |
{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}... |
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
|
True
|
|
sqc2594
|
|
P4/mmm |
123 |
tetragonal |
{3,10,6,4} |
8 |
(4,4) |
|
G
|
False
|
|
sqc9399
|
|
I41/a |
88 |
tetragonal |
{3,12,4,8} |
16 |
(4,5) |
|
D
|
False
|
|
sqc9436
|
|
I41/amd |
141 |
tetragonal |
{3,12,4,8} |
16 |
(4,4) |
Topological data
| Vertex degrees | {3,12,4,8} |
| 2D vertex symbol | {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.1:160:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160,11 62 5 10 7 9 72 15 20 17 19 41 82 25 30 27 29 51 102 35 40 37 39 112 45 50 47 49 92 55 60 57 59 71 65 70 67 69 75 80 77 79 111 85 90 87 89 101 95 100 97 99 105 110 107 109 115 120 117 119 141 152 125 130 127 129 151 142 135 140 137 139 145 150 147 149 155 160 157 159,3 4 15 16 67 68 29 30 13 14 77 78 39 40 23 24 45 46 87 88 33 34 55 56 107 108 43 44 117 118 139 140 53 54 97 98 159 160 63 64 75 76 99 100 73 74 119 120 83 84 115 116 129 130 93 94 105 106 103 104 149 150 113 114 123 124 145 146 157 158 133 134 155 156 147 148 143 144 153 154:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 12 4 8 12 8 3 4 3 4 3 3 3 3 4 3> {(1, 121): 't3*tau2*t1^-1*tau3^-1*t2', (1, 120): 'tau1', (2, 54): 't2^-1', (2, 55): 't2^-1', (2, 44): 't3^-1', (2, 45): 't3^-1', (1, 111): 'tau2*t3', (1, 110): 't3^-1', (1, 101): 't2*tau3^-1', (1, 100): 't2', (1, 91): 'tau3^-1*t2', (2, 154): 'tau1', (2, 155): 'tau1', (1, 81): 't3*tau2', (2, 144): 'tau1^-1', (2, 145): 'tau1^-1', (1, 71): 't1', (1, 61): 't1', (1, 50): 't2^-1', (2, 114): 't3^-1', (2, 115): 't3^-1', (1, 40): 't3^-1', (2, 104): 't2', (2, 105): 't2', (1, 150): 'tau1', (1, 141): 't2*tau3^-1*t1^-1*tau2*t3'}