U-tiling: UQC1567
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1074 |
*2244 |
(2,4,4) |
{6,3} |
{4.6.4.4.4.6}{6.4.4} |
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
|
|
sqc8628
|
|
P4/nmm |
129 |
tetragonal |
{3,6} |
16 |
(2,4) |
|
G
|
False
|
|
sqc8857
|
|
I41/a |
88 |
tetragonal |
{3,6} |
16 |
(2,5) |
|
D
|
False
|
|
sqc8594
|
|
I41/amd |
141 |
tetragonal |
{3,6} |
16 |
(2,4) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.6.4.4.4.6}{6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<81.1:144:55 4 5 60 61 62 63 64 13 14 69 70 71 72 73 22 23 78 79 80 81 91 31 32 96 97 98 99 100 40 41 105 106 107 108 82 49 50 87 88 89 90 58 59 67 68 76 77 85 86 94 95 103 104 136 112 113 141 142 143 144 127 121 122 132 133 134 135 130 131 139 140,2 12 6 8 25 27 11 15 17 34 36 20 39 24 26 29 48 33 35 38 42 44 124 126 47 51 53 142 144 56 66 60 62 88 90 65 69 71 106 108 74 102 78 80 115 117 83 93 87 89 92 96 98 133 135 101 105 107 110 129 114 116 119 138 123 125 128 132 134 137 141 143,10 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 99 102 104 106 108 127 111 113 115 117 136 120 122 124 126 129 131 133 135 138 140 142 144:4 6 4 4 4 4 4 4 6 4 6 4 4 4 6 4,3 6 6 3 3 6 6 3 6 6 3 6 3 6 3 3> {(1, 47): 't2^-1', (0, 51): 't2^-1*tau3', (0, 60): 't1', (0, 41): 't3^-1*tau2^-1', (0, 18): 'tau2^-1*t3^-1', (2, 45): 't2^-1', (0, 126): 't2*tau3^-1*t1^-1*tau2*t3', (1, 110): 'tau1', (2, 135): 'tau1', (0, 32): 'tau3*t2^-1', (0, 45): 't2^-1*tau3', (0, 131): 't2*tau3^-1*t1^-1*tau2*t3', (0, 140): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 101): 't3^-1', (2, 36): 't3^-1', (0, 24): 'tau2^-1*t3^-1', (0, 14): 't1^-1', (0, 59): 't1', (0, 36): 't3^-1*tau2^-1', (1, 20): 't3', (0, 135): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 81): 't2^-1', (2, 72): 't3', (0, 50): 't2^-1*tau3', (0, 63): 't1', (1, 119): 'tau1^-1', (0, 33): 'tau3*t2^-1', (0, 42): 't3^-1*tau2^-1', (0, 23): 'tau2^-1*t3^-1', (0, 141): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 54): 't1', (1, 92): 't2', (0, 15): 't1^-1', (2, 126): 'tau1^-1', (0, 27): 'tau3*t2^-1', (0, 132): 't2*tau3^-1*t1^-1*tau2*t3', }