U-tiling: UQC1861
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1370 |
*2244 |
(2,4,4) |
{3,4} |
{4.8.12}{12.8.4.8} |
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
|
|
sqc9903
|
|
P42/mmc |
131 |
tetragonal |
{4,3} |
24 |
(2,4) |
|
G
|
False
|
|
sqc9902
|
|
I-42d |
122 |
tetragonal |
{4,3,3} |
24 |
(3,5) |
|
D
|
False
|
|
sqc3879
|
|
P-42m |
111 |
tetragonal |
{3,4} |
12 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.8.12}{12.8.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.1:160:11 12 5 6 87 88 69 70 15 16 97 98 79 80 41 42 25 26 107 108 39 40 51 52 35 36 117 118 45 46 127 128 59 60 55 56 137 138 71 72 65 66 147 148 75 76 157 158 91 92 85 86 149 150 95 96 159 160 121 122 105 106 119 120 131 132 115 116 125 126 139 140 135 136 151 152 145 146 155 156,21 3 24 7 10 9 31 13 34 17 20 19 23 27 30 29 33 37 40 39 61 43 64 47 50 49 71 53 74 57 60 59 63 67 70 69 73 77 80 79 101 83 104 87 90 89 111 93 114 97 100 99 103 107 110 109 113 117 120 119 141 123 144 127 130 129 151 133 154 137 140 139 143 147 150 149 153 157 160 159,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:4 8 12 4 4 8 4 8 4 8 4 12,4 3 4 3 3 3 4 3 4 3 3 3 4 3 4 3 3 3 4 3 4 3 3 3> {(0, 51): 't3*tau2*t1^-1', (0, 18): 't1^-1*tau2*t3', (1, 123): 'tau1', (1, 73): 't3^-1*tau2^-1*t3^-1', (1, 60): 't3^-1', (1, 103): 't2^-1', (0, 111): 't1*tau2^-1*t3^-1', (1, 33): 't1', (1, 130): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 19): 't1^-1*tau2*t3', (1, 153): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 158): 't3^-1*tau2^-1*t1', (1, 113): 'tau3^-1', (0, 130): 't3*tau2*t1^-1', (1, 10): 't1^-1', (1, 63): 't3^-1', (0, 159): 't3^-1*tau2^-1*t1', (1, 110): 'tau3^-1', (1, 70): 't3^-1*tau2^-1*t3^-1', (1, 120): 'tau1', (0, 50): 't3*tau2*t1^-1', (1, 100): 't2^-1', }