U-tiling: UQC1338
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc571 |
*2244 |
(2,4,4) |
{7,4} |
{4.4.4.3.3.4.4}{3.3.3.3} |
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
|
|
sqc7628
|
|
P4/nmm |
129 |
tetragonal |
{4,7} |
10 |
(2,4) |
|
G
|
False
|
|
sqc7818
|
|
I41/a |
88 |
tetragonal |
{4,7} |
10 |
(2,4) |
|
D
|
False
|
|
sqc7815
|
|
I41/amd |
141 |
tetragonal |
{4,7} |
10 |
(2,4) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.4.3.3.4.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.1:128:2 51 52 13 14 55 56 10 59 60 63 64 18 67 68 37 38 71 72 26 83 84 45 46 87 88 34 91 92 95 96 42 75 76 79 80 50 61 62 58 66 93 94 74 85 86 82 90 98 123 124 117 118 127 128 106 115 116 125 126 119 120 114 122,49 3 5 7 24 57 11 13 15 32 65 19 21 23 81 27 29 31 89 35 37 39 112 73 43 45 47 128 51 53 55 80 59 61 63 96 67 69 71 104 75 77 79 83 85 87 120 91 93 95 121 99 101 103 113 107 109 111 115 117 119 123 125 127,17 18 4 6 8 25 26 12 14 16 20 22 24 28 30 32 105 106 36 38 40 121 122 44 46 48 73 74 52 54 56 89 90 60 62 64 97 98 68 70 72 76 78 80 113 114 84 86 88 92 94 96 100 102 104 108 110 112 116 118 120 124 126 128:3 4 4 4 3 4 3 4 4 3 4 4 3 3 3 4 4 3,4 7 4 7 7 7 7 7 7 7> {(0, 93): 't3^-1', (0, 109): 'tau1^-1', (1, 24): 'tau3*t2^-1', (0, 85): 't2', (0, 51): 't1', (0, 124): 'tau1', (0, 18): 'tau2^-1*t3^-1', (1, 112): 't2*tau3^-1*t1^-1*tau2*t3', (0, 43): 't2^-1*tau3', (0, 20): 't3', (0, 84): 't2', (0, 45): 't2^-1', (1, 56): 't1', (0, 34): 't3^-1*tau2^-1', (0, 115): 't2*tau3^-1*t1^-1*tau2*t3', (1, 64): 't3*tau2', (0, 59): 't1', (1, 32): 't3^-1*tau2^-1', (0, 26): 'tau3*t2^-1', (1, 120): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 19): 'tau2^-1*t3^-1', (0, 92): 't3^-1', (0, 50): 't1', (0, 123): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 48): 't1', (0, 114): 't2*tau3^-1*t1^-1*tau2*t3', (0, 116): 'tau1^-1', (0, 42): 't2^-1*tau3', (1, 72): 'tau3^-1*t2', (0, 35): 't3^-1*tau2^-1', (0, 44): 't2^-1', (0, 37): 't3^-1', (0, 122): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 27): 'tau3*t2^-1', (0, 117): 'tau1^-1', (0, 58): 't1', }