U-tiling: UQC709
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc61 |
*2224 |
(1,3,2) |
{4} |
{4.8.8.4} |
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
|
True
|
|
sqc1255
|
|
P4/mmm |
123 |
tetragonal |
{4,3} |
8 |
(2,4) |
|
G
|
False
|
|
sqc7747
|
|
I4122 |
98 |
tetragonal |
{4,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc1753
|
|
P4222 |
93 |
tetragonal |
{4,4} |
8 |
(2,5) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.8.8.4}{8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.1:128:33 74 75 5 22 23 16 41 58 59 13 30 31 49 90 91 21 32 65 82 83 29 106 107 37 54 55 64 98 99 45 70 71 80 122 123 53 88 97 61 86 87 114 115 69 96 105 77 94 95 113 85 121 93 101 118 119 112 109 126 127 117 128 125,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,17 3 20 21 7 24 25 11 28 29 15 32 19 23 27 31 49 35 52 53 39 56 65 43 68 69 47 72 51 55 81 59 84 85 63 88 67 71 89 75 92 93 79 96 83 87 91 95 113 99 116 117 103 120 121 107 124 125 111 128 115 119 123 127:4 8 4 4 8 4 4 8 4 8 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 117): 't1*tau3*t2^-1', (2, 56): 't3^-1*tau2^-1', (0, 55): 'tau2^-1', (0, 22): 't1^-1', (2, 127): 't1^-1*tau3^-1*t2', (0, 111): 'tau1', (2, 28): 't1', (0, 125): 'tau2^-1*t3^-1', (2, 116): 'tau2*t3', (0, 63): 't3^-1', (0, 118): 't1*tau3*t2^-1', (2, 124): 't1^-1*tau3^-1*t2', (2, 91): 'tau3^-1*t2', (0, 53): 'tau2^-1*t3^-1', (0, 126): 'tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1', (0, 47): 't2', (0, 17): 't1^-1', (2, 88): 'tau3^-1*t2', (0, 54): 'tau2^-1*t3^-1', (0, 113): 't1', (2, 60): 't3^-1*tau2^-1', (2, 27): 't1', (0, 18): 't1^-1', (0, 95): 'tau3^-1', (2, 115): 'tau2*t3', (0, 45): 't2*tau3^-1', (2, 123): 't1^-1*tau3^-1*t2', (0, 114): 't1', (2, 24): 't1', (2, 112): 'tau2*t3', (2, 95): 'tau3^-1*t2', (0, 46): 't2*tau3^-1', (0, 31): 't1', (2, 120): 't1^-1*tau3^-1*t2', (0, 24): 't1', (2, 92): 'tau3^-1*t2', (2, 59): 't3^-1*tau2^-1', (0, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 21): 't1^-1', (2, 31): 't1', (0, 120): 't1^-1', (2, 119): 'tau2*t3', }