U-tiling: UQC736
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
|
True
|
|
sqc7317
|
|
P4/mmm |
123 |
tetragonal |
{5,5} |
12 |
(2,4) |
|
G
|
False
|
|
sqc7659
|
|
I4122 |
98 |
tetragonal |
{6,5} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1732
|
|
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
<28.3:128:17 4 5 38 39 24 25 12 13 46 47 32 20 21 54 55 28 29 70 71 49 36 37 56 65 44 45 72 52 53 81 60 61 102 103 88 68 69 89 76 77 110 111 96 84 85 118 119 92 93 126 127 113 100 101 120 121 108 109 128 116 117 124 125,2 35 12 6 8 10 43 14 16 18 51 28 22 24 26 67 30 32 34 60 38 40 42 76 46 48 50 84 54 56 58 99 62 64 66 92 70 72 74 107 78 80 82 115 86 88 90 123 94 96 98 108 102 104 106 110 112 114 124 118 120 122 126 128,73 3 5 7 16 57 11 13 15 89 19 21 23 32 81 27 29 31 105 35 37 39 64 97 43 45 47 80 121 51 53 55 88 59 61 63 113 67 69 71 96 75 77 79 83 85 87 91 93 95 99 101 103 112 107 109 111 115 117 119 128 123 125 127:6 3 4 3 4 3 3 6 6 3 4 3 4 3 3 6,6 5 6 6 5 6 5 5 5 5 5 5> {(0, 16): 't1^-1', (0, 29): 't1', (1, 67): 'tau3', (2, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 47): 't2', (0, 112): 't1*tau3*t2^-1', (1, 123): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 127): 't1^-1*tau3^-1*t2', (2, 112): 't1', (0, 79): 't2^-1*tau3', (2, 16): 't1^-1', (2, 63): 't3^-1', (2, 95): 'tau3^-1', (1, 75): 't2^-1', (0, 94): 't1', (1, 66): 't1^-1', (0, 48): 'tau2^-1*t3^-1', (0, 125): 't1^-1', (0, 119): 'tau2*t3', (2, 111): 'tau1', (1, 19): 't1^-1', (1, 122): 't1^-1', (0, 40): 't2*tau3^-1', (0, 30): 't1', (0, 63): 't3^-1*tau2^-1', (1, 59): 't3^-1', (1, 51): 'tau2^-1', (2, 31): 't1', (0, 15): 't1^-1', (0, 120): 'tau2^-1*t3^-1', (1, 107): 'tau1', (2, 55): 'tau2^-1', }