U-tiling: UQC136
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc138 |
*2224 |
(2,3,2) |
{3,4} |
{4.8.8}{8.8.8.8} |
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
|
|
sqc3881
|
|
I4/mmm |
139 |
tetragonal |
{4,3} |
12 |
(2,3) |
|
G
|
False
|
|
sqc9915
|
|
I41/acd |
142 |
tetragonal |
{4,3} |
24 |
(2,3) |
|
D
|
False
|
|
sqc522
|
xbe
|
I4/mmm |
139 |
tetragonal |
{3,4} |
6 |
(2,3) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {4.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.2:160:6 3 59 60 8 69 70 16 13 74 75 18 89 90 36 23 79 80 46 28 94 95 51 33 104 105 38 99 100 61 43 124 125 48 84 85 53 129 130 66 58 63 109 110 68 86 73 96 78 91 83 88 93 98 126 103 121 108 131 113 139 140 136 118 134 135 123 128 133 138 151 143 159 160 156 148 154 155 153 158,2 4 25 7 9 30 12 14 35 17 19 45 22 24 27 29 32 34 37 39 120 42 44 47 49 140 52 54 150 57 59 85 62 64 160 67 69 100 72 74 110 77 79 115 82 84 87 89 130 92 94 135 97 99 102 104 145 107 109 112 114 117 119 122 124 155 127 129 132 134 137 139 142 144 147 149 152 154 157 159,11 22 23 5 16 27 28 10 32 33 15 42 43 20 31 25 41 30 35 51 117 118 40 45 61 137 138 50 147 148 55 71 82 83 60 157 158 65 86 97 98 70 107 108 75 101 112 113 80 106 85 127 128 90 121 132 133 95 126 100 142 143 105 110 141 115 146 120 152 153 125 130 151 135 156 140 145 150 155 160:8 4 4 8 4 4 8 8 8 8 8 8,4 3 4 3 3 3 4 3 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 3> {(0, 109): 'tau3^-1', (2, 122): 't2^-1', (0, 18): 't1^-1', (0, 159): 't2^-1*tau3*t1*tau2^-1', (0, 53): 'tau2^-1', (2, 120): 't2^-1', (0, 43): 'tau3', (2, 140): 't3^-1', (0, 45): 't2^-1', (0, 150): 'tau1^-1*t3', (1, 124): 't2^-1', (0, 34): 'tau2^-1', (1, 64): 't2', (0, 14): 't1^-1', (2, 61): 't2', (0, 145): 't3*tau1^-1', (0, 135): 'tau1', (0, 19): 't1^-1', (0, 63): 'tau3', (2, 151): 't2', (0, 149): 'tau2^-1*t1*tau3*t2^-1', (0, 158): 't2^-1*tau3*t1*tau2^-1', (2, 50): 't3', (0, 33): 'tau2^-1', (2, 145): 't3', (0, 95): 't3^-1', (0, 13): 't1^-1', (0, 54): 'tau2^-1', (0, 35): 't3^-1', (0, 44): 'tau3', (0, 153): 't2*tau3^-1*t1^-1*tau2', (0, 130): 'tau1^-1', (0, 80): 't2^-1', (2, 62): 't2', (2, 75): 't3', (2, 60): 't2', }