U-tiling: UQC12
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc32 |
*2223 |
(1,2,2) |
{6} |
{3.4.4.3.4.4} |
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
|
|
sqc8990
|
reo-e
|
Pm-3m |
221 |
cubic |
{6} |
12 |
(1,2) |
|
G
|
False
|
|
sqc9035
|
|
I4132 |
214 |
cubic |
{6} |
12 |
(1,2) |
|
D
|
False
|
|
sqc2969
|
|
P4232 |
208 |
cubic |
{6} |
6 |
(1,2) |
Topological data
| Vertex degrees | {6} |
| 2D vertex symbol | {3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:144:16 14 15 22 20 21 28 26 27 46 44 45 31 32 33 49 50 51 61 62 63 64 53 54 76 59 60 130 56 57 82 83 84 85 97 136 86 87 106 92 93 139 89 90 103 101 102 137 138 109 95 96 118 142 115 131 132 121 122 123 143 144 116 117 127 125 126 140 141 133 134 135,2 6 5 8 12 11 14 36 17 42 20 54 23 60 26 66 29 72 32 75 35 38 81 41 44 87 47 93 50 96 53 56 102 59 62 105 65 68 111 71 74 77 114 80 83 117 86 89 123 92 95 98 126 101 104 107 129 110 113 116 119 135 122 125 128 131 138 134 137 140 144 143,7 3 10 6 9 12 37 15 28 18 55 21 46 24 67 27 30 76 33 79 36 39 70 42 88 45 48 97 51 100 54 57 91 60 106 63 109 66 69 72 112 75 78 81 118 84 121 87 90 93 124 96 99 102 127 105 108 111 114 133 117 120 123 126 129 139 132 135 142 138 141 144:4 3 4 4 3 4 3 3 3 4 4 4 3 4 4 4 3 4 3 4,6 6 6 6 6 6 6 6 6 6 6 6> {(0, 39): 't3', (2, 111): 't3', (0, 134): 'tau1^-1*t3', (2, 117): 't1', (0, 124): 'tau1^-1', (0, 105): 't1^-1', (0, 95): 't2', (0, 126): 't3^-1', (0, 43): 't1', (0, 55): 't3^-1', (0, 143): 't2^-1*tau3*t1', (1, 104): 'tau2', (0, 67): 'tau3^-1', (2, 138): 't3', (0, 94): 't2', (0, 88): 'tau2', (0, 133): 'tau1^-1*t3', (0, 142): 't2^-1*tau3*t1', (0, 68): 'tau3^-1', (1, 59): 't2^-1', (1, 137): 'tau1', (0, 125): 'tau1^-1', (0, 114): 't2^-1', (1, 140): 't3*tau1^-1', (1, 119): 't1*tau3*t2^-1', (2, 57): 't2^-1', (2, 24): 't1^-1', (0, 42): 't1', (0, 141): 't2^-1', (0, 118): 'tau2', (0, 44): 't1', (0, 89): 'tau2', (2, 132): 't2', (1, 74): 't3^-1', (0, 56): 't3^-1', (1, 107): 'tau2^-1', (1, 65): 't1', (1, 116): 'tau3^-1', (0, 140): 'tau2^-1', }