U-tiling: UQC1467
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc939 |
*2244 |
(2,4,4) |
{6,3} |
{4.4.3.12.3.4}{3.12.12} |
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
|
|
sqc9011
|
|
P4/nmm |
129 |
tetragonal |
{3,6} |
16 |
(2,4) |
|
G
|
False
|
|
sqc9009
|
|
I41/a |
88 |
tetragonal |
{3,6} |
16 |
(2,5) |
|
D
|
False
|
|
sqc9010
|
|
I41/amd |
141 |
tetragonal |
{3,6} |
16 |
(2,4) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.4.3.12.3.4}{3.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<75.1:144:55 4 5 15 16 62 63 64 13 14 71 72 73 22 23 42 43 80 81 91 31 32 51 52 98 99 100 40 41 107 108 82 49 50 89 90 58 59 69 70 67 68 76 77 105 106 85 86 96 97 94 95 103 104 136 112 113 132 133 143 144 127 121 122 141 142 134 135 130 131 139 140,2 12 22 6 8 27 11 31 15 17 36 20 39 24 26 29 48 33 35 38 121 42 44 126 47 139 51 53 144 56 66 85 60 62 90 65 103 69 71 108 74 102 112 78 80 117 83 93 87 89 92 130 96 98 135 101 105 107 110 129 114 116 119 138 123 125 128 132 134 137 141 143,10 3 5 7 9 12 14 16 18 37 21 23 25 27 46 30 32 34 36 39 41 43 45 48 50 52 54 64 57 59 61 63 66 68 70 72 100 75 77 79 81 91 84 86 88 90 93 95 97 99 102 104 106 108 127 111 113 115 117 136 120 122 124 126 129 131 133 135 138 140 142 144:12 3 4 4 12 4 3 4 3 4 3 3 3 3 4 3,3 6 6 3 3 6 6 3 6 6 3 6 3 6 3 3> {(1, 47): 't2^-1', (0, 51): 't2^-1', (0, 41): 't3^-1', (0, 18): 'tau2^-1*t3^-1', (0, 95): 't2', (2, 45): 't2^-1', (0, 126): 't2*tau3^-1*t1^-1*tau2*t3', (1, 110): 'tau1', (2, 135): 'tau1', (1, 101): 't3^-1', (0, 45): 't2^-1*tau3', (0, 131): 'tau1^-1', (0, 140): 'tau1', (2, 36): 't3^-1', (0, 78): 't3', (0, 36): 't3^-1*tau2^-1', (0, 135): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 72): 't3', (2, 90): 't2', (0, 32): 't2', (1, 119): 'tau1^-1', (0, 63): 't1', (0, 104): 't3^-1', (0, 96): 't2', (0, 42): 't3^-1', (0, 141): 'tau1', (0, 54): 't1', (1, 38): 't3^-1', (1, 92): 't2', (2, 126): 'tau1^-1', (0, 27): 'tau3*t2^-1', (0, 132): 'tau1^-1', }