U-tiling: UQC752
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc613 |
*22222 |
(2,4,3) |
{10,3} |
{4.3.6.3.4.4.3.6.3.4}{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) |
|
P
|
True
|
|
sqc6461
|
|
P4/mmm |
123 |
tetragonal |
{3,8} |
12 |
(2,4) |
|
G
|
False
|
|
sqc7533
|
|
I4122 |
98 |
tetragonal |
{3,10} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1811
|
|
P4222 |
93 |
tetragonal |
{3,10} |
6 |
(2,4) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.3.6.3.4.4.3.6.3.4}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.3:128:17 4 5 78 79 40 25 12 13 62 63 48 20 21 94 95 56 28 29 86 87 72 49 36 37 110 111 65 44 45 102 103 52 53 126 127 81 60 61 104 68 69 118 119 89 76 77 112 84 85 120 92 93 128 113 100 101 121 108 109 116 117 124 125,2 75 12 6 8 10 59 14 16 18 91 28 22 24 26 83 30 32 34 107 60 38 40 42 99 76 46 48 50 123 84 54 56 58 62 64 66 115 92 70 72 74 78 80 82 86 88 90 94 96 98 108 102 104 106 110 112 114 124 118 120 122 126 128,73 3 5 7 24 57 11 13 15 32 89 19 21 23 81 27 29 31 105 35 37 39 56 97 43 45 47 72 121 51 53 55 59 61 63 88 113 67 69 71 75 77 79 96 83 85 87 91 93 95 99 101 103 120 107 109 111 128 115 117 119 123 125 127:6 3 4 3 4 3 4 3 4 6 3 6 3 3 3 6,3 10 3 3 3 3 10 3 10 3 3 10> {(1, 27): 't1', (1, 51): 'tau2^-1', (0, 117): 't1', (1, 123): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 114): 't1', (0, 22): 't1^-1', (2, 127): 't1^-1*tau3^-1*t2', (0, 48): 'tau2^-1*t3^-1', (1, 91): 'tau3^-1', (1, 90): 't1', (0, 118): 't1', (2, 95): 'tau3^-1*t2', (1, 107): 'tau1', (0, 16): 't1^-1', (2, 112): 't1', (0, 31): 't1', (1, 59): 't3^-1', (2, 63): 't3^-1*tau2^-1', (1, 75): 't2^-1', (0, 112): 't1*tau3*t2^-1', (0, 127): 't1^-1', (0, 40): 't2*tau3^-1', (0, 21): 't1^-1', (2, 88): 't1', (2, 31): 't1', (0, 120): 'tau2^-1*t3^-1', (2, 119): 'tau2*t3', }