U-tiling: UQC4388
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1240 |
*2244 |
(4,4,2) |
{3,3,8,4} |
{7.4.7}{7.7.4}{7.7.7.7.7.7.7.7}{... |
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
|
True
|
|
sqc1509
|
|
P4/mmm |
123 |
tetragonal |
{6,3,3} |
9 |
(3,4) |
|
G
|
False
|
|
sqc8520
|
|
I41/a |
88 |
tetragonal |
{3,3,8,4} |
20 |
(4,5) |
|
D
|
False
|
|
sqc8577
|
|
I41/amd |
141 |
tetragonal |
{3,3,8,4} |
20 |
(4,4) |
Topological data
| Vertex degrees | {3,3,8,4} |
| 2D vertex symbol | {7.4.7}{7.7.4}{7.7.7.7.7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<93.1:144:55 3 5 7 9 64 12 14 16 18 73 21 23 25 27 91 30 32 34 36 100 39 41 43 45 82 48 50 52 54 57 59 61 63 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 136 111 113 115 117 127 120 122 124 126 129 131 133 135 138 140 142 144,2 6 13 59 8 63 11 15 68 17 72 20 24 40 77 26 81 29 33 49 95 35 99 38 42 104 44 108 47 51 86 53 90 56 60 67 62 65 69 71 74 78 103 80 83 87 94 89 92 96 98 101 105 107 110 114 130 140 116 144 119 123 139 131 125 135 128 132 134 137 141 143,10 4 5 60 61 26 27 13 14 69 70 35 36 37 22 23 78 79 46 31 32 96 97 40 41 105 106 125 126 49 50 87 88 143 144 64 58 59 89 90 67 68 107 108 100 76 77 116 117 91 85 86 94 95 134 135 103 104 127 112 113 141 142 136 121 122 132 133 130 131 139 140:7 4 7 7 4 7 4 7 7 7 4 7,3 3 8 4 3 8 4 3 3 3 3 3 3 3 3 3 3 3 3 3> {(1, 121): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 120): 'tau1^-1', (1, 111): 'tau1', (2, 59): 't1', (1, 112): 't3*tau2*t1^-1*tau3^-1*t2', (2, 50): 't2^-1*tau3', (2, 51): 't2^-1*tau3', (2, 45): 't2^-1', (2, 41): 't3^-1*tau2^-1', (2, 42): 't3^-1*tau2^-1', (2, 36): 't3^-1', (2, 60): 't1', (2, 32): 'tau3*t2^-1', (2, 33): 'tau3*t2^-1', (1, 103): 'tau2*t3', (1, 102): 't3^-1', (2, 24): 'tau2^-1*t3^-1', (1, 94): 't2*tau3^-1', (2, 23): 'tau2^-1*t3^-1', (1, 85): 'tau3^-1*t2', (1, 84): 't2^-1', (2, 140): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 141): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 15): 't1^-1', (1, 76): 't3*tau2', (2, 132): 't2*tau3^-1*t1^-1*tau2*t3', (2, 135): 'tau1', (2, 131): 't2*tau3^-1*t1^-1*tau2*t3', (2, 126): 'tau1^-1', (1, 58): 't1', (1, 39): 't3^-1', (2, 99): 't3^-1', (2, 90): 't2', (1, 30): 't2', (1, 13): 't1^-1', (2, 68): 't1'}