U-tiling: UQC858
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc644 |
*22222 |
(2,4,3) |
{6,4} |
{4.6.3.3.6.4}{6.3.6.3} |
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
|
False
|
|
sqc7894
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc7834
|
|
I4122 |
98 |
tetragonal |
{6,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc2130
|
|
P4222 |
93 |
tetragonal |
{4,6} |
6 |
(2,4) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.6.3.3.6.4}{6.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.5:128:17 34 35 6 7 24 25 42 43 14 15 32 50 51 22 23 66 67 30 31 49 38 39 56 65 46 47 72 54 55 81 98 99 62 63 88 70 71 89 106 107 78 79 96 114 115 86 87 122 123 94 95 113 102 103 120 121 110 111 128 118 119 126 127,2 4 8 78 23 10 12 16 62 31 18 20 24 94 26 28 32 86 34 36 40 110 55 42 44 48 102 71 50 52 56 126 58 60 64 87 66 68 72 118 74 76 80 95 82 84 88 90 92 96 98 100 104 119 106 108 112 127 114 116 120 122 124 128,9 3 5 7 16 11 13 15 25 19 21 23 32 27 29 31 57 35 37 39 64 73 43 45 47 80 81 51 53 55 88 59 61 63 89 67 69 71 96 75 77 79 83 85 87 91 93 95 105 99 101 103 112 107 109 111 121 115 117 119 128 123 125 127:4 6 3 4 6 3 6 6 3 3 4 3 4 3 3 3,6 4 4 6 6 4 6 4 6 6 6 6> {(1, 21): 't1^-1', (2, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 118): 't1*tau3*t2^-1', (2, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 47): 't2', (0, 112): 'tau2*t3', (2, 88): 'tau3^-1', (2, 56): 't3^-1', (0, 121): 't1^-1', (0, 55): 'tau2^-1*t3^-1', (1, 70): 'tau3*t2^-1', (2, 63): 't3^-1', (0, 120): 't1^-1*tau3^-1*t2', (0, 47): 't2*tau3^-1', (0, 24): 't1', (1, 126): 'tau2^-1*t3^-1', (1, 22): 't1^-1', (2, 23): 't1^-1', (0, 26): 't1', (0, 88): 'tau3^-1*t2', (1, 117): 't1', (2, 104): 'tau1', (0, 119): 't1*tau3*t2^-1', (2, 111): 'tau1', (0, 127): 'tau2^-1*t3^-1', (2, 24): 't1', (2, 95): 'tau3^-1', (0, 23): 't1^-1', (2, 48): 'tau2^-1', (1, 38): 't3*tau2', (0, 25): 't1', (0, 56): 't3^-1*tau2^-1', (2, 40): 't2', (2, 55): 'tau2^-1', (0, 122): 't1^-1', }