U-tiling: UQC462
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc231 |
*2323 |
(2,2,3) |
{4,6} |
{3.6.4.6}{6.4.6.4.6.4} |
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
|
|
sqc9046
|
|
P4232 |
208 |
cubic |
{6,4} |
16 |
(2,2) |
|
G
|
False
|
|
sqc9049
|
|
I213 |
199 |
cubic |
{6,4} |
16 |
(2,3) |
|
D
|
False
|
|
sqc9050
|
|
F-43m |
216 |
cubic |
{6,4} |
16 |
(2,2) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {3.6.4.6}{6.4.6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:144:3 4 47 48 9 10 95 96 15 16 71 72 21 22 89 90 27 28 125 126 33 34 113 114 39 40 119 120 45 46 51 52 65 66 57 58 137 138 63 64 69 70 75 76 131 132 81 82 107 108 87 88 93 94 99 100 143 144 105 106 111 112 117 118 123 124 129 130 135 136 141 142,7 14 21 5 24 38 33 11 36 25 75 17 78 31 80 23 50 111 29 114 98 35 49 129 41 132 55 68 63 47 66 87 53 90 128 99 59 102 97 122 65 103 117 71 120 109 134 77 121 135 83 138 127 104 89 133 116 123 95 126 101 141 107 144 140 113 139 119 125 131 137 143,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144:4 6 3 6 3 4 3 6 6 6 4 4 6 3 4 4,6 4 4 4 6 4 4 6 4 4 4 4 6 4 4 4> {(0, 34): 't3', (0, 107): 'tau3*t1', (1, 104): 't2', (1, 83): 'tau2^-1*t3^-1*tau1', (1, 103): 'tau3', (0, 59): 't2^-1', (1, 122): 't3^-1', (0, 23): 't1^-1', (0, 35): 't3', (1, 125): 't3^-1', (1, 107): 't2', (1, 116): 't2^-1', (1, 98): 't1*tau3', (1, 54): 'tau3^-1', (1, 90): 'tau1', (1, 101): 't1*tau3', (0, 131): 't2^-1', (0, 76): 't2', (0, 142): 'tau1*t3^-1*tau2^-1', (1, 62): 't1', (1, 97): 'tau2', (1, 120): 'tau2', (1, 119): 't2^-1', (1, 109): 'tau1^-1', (1, 80): 'tau2^-1*t3^-1*tau1', (0, 106): 'tau3*t1', (0, 22): 't1^-1', (0, 143): 'tau1*t3^-1*tau2^-1', (1, 65): 't1', (0, 58): 't2^-1', }