U-tiling: UQC697
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc603 |
*22222 |
(2,5,3) |
{4,8} |
{4.4.4.4}{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
|
|
sqc4886
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7746
|
|
I4122 |
98 |
tetragonal |
{4,8} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1643
|
|
P4222 |
93 |
tetragonal |
{4,8} |
6 |
(2,5) |
Topological data
| Vertex degrees | {4,8} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.1:128:33 74 75 5 78 79 24 41 58 59 13 62 63 32 49 90 91 21 94 95 65 82 83 29 86 87 106 107 37 110 111 56 98 99 45 102 103 72 122 123 53 126 127 97 61 88 114 115 69 118 119 105 77 96 113 85 121 93 101 120 109 128 117 125,2 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 16 25 11 28 29 15 19 23 32 27 31 49 35 52 53 39 64 65 43 68 69 47 80 51 55 88 81 59 84 85 63 67 71 96 89 75 92 93 79 83 87 91 95 113 99 116 117 103 112 121 107 124 125 111 115 119 128 123 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 4 8 4 8 4 4 4 8 4> {(2, 27): 't1', (2, 120): 't1^-1*tau3^-1*t2', (0, 118): 't1', (2, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 47): 't2', (0, 18): 't1^-1', (2, 88): 'tau3^-1*t2', (2, 115): 'tau2*t3', (2, 56): 't3^-1*tau2^-1', (2, 111): 'tau1', (2, 123): 't1^-1*tau3^-1*t2', (0, 55): 'tau2^-1*t3^-1', (0, 22): 't1^-1', (2, 63): 't3^-1', (2, 95): 'tau3^-1', (0, 47): 't2*tau3^-1', (0, 24): 't1', (0, 17): 't1^-1', (2, 28): 't1', (0, 119): 't1*tau3*t2^-1', (2, 59): 't3^-1*tau2^-1', (2, 92): 'tau3^-1*t2', (0, 114): 't1', (0, 127): 'tau2^-1*t3^-1', (0, 21): 't1^-1', (2, 24): 't1', (2, 91): 'tau3^-1*t2', (0, 23): 't1^-1', (2, 116): 'tau2*t3', (2, 112): 'tau2*t3', (0, 113): 't1', (2, 31): 't1', (0, 120): 't1^-1', (2, 124): 't1^-1*tau3^-1*t2', (0, 117): 't1', (2, 55): 'tau2^-1', (2, 60): 't3^-1*tau2^-1', }