U-tiling: UQC1833
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1351 |
*2244 |
(2,5,4) |
{6,4} |
{8.3.4.4.3.8}{3.4.4.4} |
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
|
|
sqc9524
|
|
P42/mmc |
131 |
tetragonal |
{6,4} |
16 |
(2,5) |
|
G
|
False
|
|
sqc9521
|
|
I-42d |
122 |
tetragonal |
{6,4} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3439
|
|
P-42m |
111 |
tetragonal |
{4,6} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {8.3.4.4.3.8}{3.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<104.1:160:11 22 23 6 7 68 69 70 32 33 16 17 78 79 80 41 26 27 38 39 40 51 36 37 62 63 46 47 58 59 60 72 73 56 57 71 66 67 76 77 91 102 103 86 87 148 149 150 112 113 96 97 158 159 160 121 106 107 118 119 120 131 116 117 142 143 126 127 138 139 140 152 153 136 137 151 146 147 156 157,2 4 10 26 8 29 12 14 20 36 18 39 22 24 30 28 32 34 40 38 42 44 50 66 48 69 52 54 60 76 58 79 62 64 70 68 72 74 80 78 82 84 90 106 88 109 92 94 100 116 98 119 102 104 110 108 112 114 120 118 122 124 130 146 128 149 132 134 140 156 138 159 142 144 150 148 152 154 160 158,81 3 5 7 9 90 91 13 15 17 19 100 101 23 25 27 29 110 111 33 35 37 39 120 121 43 45 47 49 130 131 53 55 57 59 140 141 63 65 67 69 150 151 73 75 77 79 160 83 85 87 89 93 95 97 99 103 105 107 109 113 115 117 119 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159:8 3 4 4 3 4 4 3 4 3 8 3 4 4 3 4 4 3 4 3,6 4 6 4 6 6 6 4 6 4 6 6 4 4 4 4> {(1, 98): 'tau3', (1, 88): 't2', (1, 155): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 51): 't3*tau2*t3', (0, 18): 't1^-1*tau2*t3', (0, 31): 't1', (0, 62): 't3^-1', (0, 157): 't3^-1*tau2^-1*t1', (1, 68): 't3^-1', (0, 32): 't1', (1, 35): 't1', (0, 111): 'tau3^-1', (0, 152): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 142): 'tau1^-1', (0, 17): 't1^-1*tau2*t3', (0, 112): 'tau3^-1', (0, 61): 't3^-1', (0, 102): 't2^-1', (0, 19): 't1^-1*tau2*t3', (0, 50): 't3*tau2*t1^-1', (1, 58): 't3*tau2*t3', (0, 158): 't3^-1*tau2^-1*t1', (0, 52): 't3*tau2*t3', (0, 151): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 159): 't3^-1*tau2^-1*t1', (0, 141): 'tau1^-1', (1, 115): 'tau3^-1', (1, 38): 't1', (1, 105): 't2^-1', (1, 55): 't3*tau2*t3', (0, 130): 't3*tau2*t1^-1', (1, 125): 'tau1', (0, 101): 't2^-1', (1, 158): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 65): 't3^-1', (1, 148): 'tau1^-1', }