U-tiling: UQC735
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc612 |
*22222 |
(2,4,3) |
{5,6} |
{4.3.6.3.4}{3.6.6.3.6.6} |
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
|
False
|
|
sqc7942
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
12 |
(2,4) |
|
G
|
False
|
|
sqc7941
|
|
I4122 |
98 |
tetragonal |
{6,5} |
12 |
(2,5) |
|
D
|
False
|
|
sqc2127
|
|
P4222 |
93 |
tetragonal |
{5,6} |
6 |
(2,4) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {4.3.6.3.4}{3.6.6.3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.1:128:33 4 5 14 15 24 41 12 13 32 49 20 21 30 31 65 28 29 36 37 62 63 56 44 45 78 79 72 52 53 86 87 97 60 61 88 68 69 94 95 105 76 77 96 113 84 85 121 92 93 100 101 110 111 120 108 109 128 116 117 126 127 124 125,2 11 76 6 8 10 60 14 16 18 27 92 22 24 26 84 30 32 34 59 108 38 40 42 75 100 46 48 50 83 124 54 56 58 62 64 66 91 116 70 72 74 78 80 82 86 88 90 94 96 98 107 102 104 106 110 112 114 123 118 120 122 126 128,17 3 5 7 80 25 11 13 15 64 19 21 23 96 27 29 31 88 49 35 37 39 112 65 43 45 47 104 51 53 55 128 81 59 61 63 67 69 71 120 89 75 77 79 83 85 87 91 93 95 113 99 101 103 121 107 109 111 115 117 119 123 125 127:6 3 4 6 6 3 6 3 4 3 4 3 3 3 4 3,6 5 5 5 5 6 5 6 5 5 5 6> {(1, 98): 'tau1^-1', (1, 34): 't3', (0, 29): 't1', (0, 62): 't3^-1', (0, 93): 'tau3^-1', (1, 90): 'tau3^-1', (2, 88): 'tau3^-1*t2', (0, 53): 'tau2^-1', (2, 56): 't3^-1*tau2^-1', (0, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 55): 'tau2^-1*t3^-1', (0, 111): 't3*tau2', (0, 45): 't2', (1, 67): 't1^-1', (2, 96): 't3^-1*tau2^-1', (0, 47): 't2*tau3^-1', (0, 24): 't1', (2, 8): 't1^-1', (2, 23): 't1^-1', (0, 94): 'tau3^-1', (1, 18): 't1^-1', (0, 61): 't3^-1', (0, 110): 'tau1', (0, 119): 't1*tau3*t2^-1', (1, 122): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 30): 't1', (0, 109): 'tau1', (2, 120): 't1^-1*tau3^-1*t2', (1, 82): 'tau2', (0, 54): 'tau2^-1', (2, 119): 't1', (1, 74): 't2^-1', (0, 120): 't1^-1', (0, 46): 't2', (0, 23): 't1^-1', (1, 91): 't1', }