U-tiling: UQC677
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc573 |
*22222 |
(2,5,3) |
{6,4} |
{4.4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc5696
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7428
|
|
I4122 |
98 |
tetragonal |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1720
|
|
P4222 |
93 |
tetragonal |
{4,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.2:128:73 3 76 77 22 23 16 57 11 60 61 30 31 89 19 92 93 32 81 27 84 85 105 35 108 109 54 55 64 97 43 100 101 70 71 80 121 51 124 125 88 59 86 87 113 67 116 117 96 75 94 95 83 91 99 118 119 112 107 126 127 115 128 123,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,33 18 19 5 7 24 41 26 27 13 15 32 49 21 23 65 29 31 50 51 37 39 56 66 67 45 47 72 53 55 97 82 83 61 63 88 69 71 105 90 91 77 79 96 113 85 87 121 93 95 114 115 101 103 120 122 123 109 111 128 117 119 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 6 6 4 6 4 6 6 6> {(0, 39): 't3', (0, 16): 't1^-1', (2, 120): 't1^-1', (0, 115): 't1', (2, 58): 't3^-1*tau2^-1', (0, 31): 't1', (0, 53): 'tau2^-1*t3^-1', (0, 126): 'tau2^-1*t3^-1', (0, 20): 't1^-1', (0, 116): 't1', (0, 55): 'tau2^-1', (2, 105): 't2^-1*tau3*t1', (0, 45): 't2*tau3^-1', (0, 22): 't1^-1', (2, 63): 't3^-1*tau2^-1', (2, 95): 'tau3^-1*t2', (0, 47): 't2', (0, 118): 't1*tau3*t2^-1', (0, 111): 'tau1', (2, 122): 't1^-1*tau3^-1*t2', (0, 112): 't1', (0, 125): 'tau2^-1*t3^-1', (0, 19): 't1^-1', (2, 26): 't1', (2, 73): 't2^-1*tau3', (2, 57): 't3^-1*tau2^-1', (0, 21): 't1^-1', (2, 24): 't1', (2, 114): 'tau2*t3', (2, 103): 't3^-1*tau2^-1', (2, 97): 't3^-1*tau2^-1', (0, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 54): 'tau2^-1*t3^-1', (2, 90): 'tau3^-1*t2', (2, 31): 't1', (0, 95): 'tau3^-1', (2, 9): 't1^-1', (2, 127): 't1^-1*tau3^-1*t2', (0, 46): 't2*tau3^-1', (0, 117): 't1*tau3*t2^-1', }