U-tiling: UQC742
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc612 |
*22222 |
(2,4,3) |
{5,6} |
{4.3.6.3.4}{3.6.6.3.6.6} |
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) |
|
G
|
False
|
|
sqc7571
|
|
I4122 |
98 |
tetragonal |
{6,5} |
12 |
(2,5) |
|
D
|
False
|
|
sqc14587
|
|
P42/mmc |
131 |
tetragonal |
{5,6} |
6 |
(2,4) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {4.3.6.3.4}{3.6.6.3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.4:128:9 4 5 78 79 40 12 13 62 63 48 25 20 21 94 95 56 28 29 86 87 72 57 36 37 110 111 73 44 45 102 103 81 52 53 126 127 60 61 104 89 68 69 118 119 76 77 112 84 85 120 92 93 128 105 100 101 108 109 121 116 117 124 125,2 75 20 6 8 10 59 28 14 16 18 91 22 24 26 83 30 32 34 107 52 38 40 42 99 68 46 48 50 123 54 56 58 84 62 64 66 115 70 72 74 92 78 80 82 86 88 90 94 96 98 116 102 104 106 124 110 112 114 118 120 122 126 128,17 3 5 7 24 25 11 13 15 32 19 21 23 27 29 31 49 35 37 39 56 65 43 45 47 72 51 53 55 81 59 61 63 88 67 69 71 89 75 77 79 96 83 85 87 91 93 95 113 99 101 103 120 121 107 109 111 128 115 117 119 123 125 127:6 3 4 3 4 3 4 3 4 6 3 6 3 3 3 6,6 5 6 5 6 5 6 5 5 5 5 5> {(0, 118): 't1', (0, 117): 't1', (1, 123): 't1^-1*tau3^-1*t2', (1, 114): 't1', (0, 22): 't1^-1', (2, 127): 't1^-1*tau3^-1*t2', (0, 88): 'tau3^-1', (1, 11): 't1^-1', (0, 48): 'tau2^-1', (2, 32): 't3*tau2', (0, 104): 'tau1', (1, 91): 'tau3^-1*t2', (1, 90): 't1', (1, 59): 't3^-1*tau2^-1', (2, 112): 't1*tau3*t2^-1', (2, 95): 'tau3^-1*t2', (0, 56): 't3^-1', (2, 40): 't2*tau3^-1', (2, 0): 't1', (0, 31): 't1', (2, 120): 'tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1', (0, 24): 't1', (0, 127): 't1^-1', (0, 40): 't2', (0, 21): 't1^-1', (1, 115): 'tau2*t3', (2, 31): 't1', (0, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 119): 'tau2*t3', }