U-tiling: UQC768
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc617 |
*22222 |
(2,4,3) |
{5,6} |
{4.6.3.6.4}{6.3.3.6.3.3} |
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
|
|
sqc7939
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
12 |
(2,4) |
|
G
|
False
|
|
sqc7940
|
|
I4122 |
98 |
tetragonal |
{6,5} |
12 |
(2,5) |
|
D
|
False
|
|
sqc2125
|
|
P4222 |
93 |
tetragonal |
{6,5} |
6 |
(2,4) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {4.6.3.6.4}{6.3.3.6.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.4:128:9 4 5 38 39 24 12 13 46 47 32 25 20 21 54 55 28 29 70 71 57 36 37 56 73 44 45 72 81 52 53 60 61 102 103 88 89 68 69 76 77 110 111 96 84 85 118 119 92 93 126 127 105 100 101 120 108 109 128 121 116 117 124 125,2 75 12 6 8 10 59 14 16 18 91 28 22 24 26 83 30 32 34 107 60 38 40 42 99 76 46 48 50 123 84 54 56 58 62 64 66 115 92 70 72 74 78 80 82 86 88 90 94 96 98 108 102 104 106 110 112 114 124 118 120 122 126 128,17 3 5 7 16 25 11 13 15 19 21 23 32 27 29 31 49 35 37 39 64 65 43 45 47 80 51 53 55 88 81 59 61 63 67 69 71 96 89 75 77 79 83 85 87 91 93 95 113 99 101 103 112 121 107 109 111 115 117 119 128 123 125 127:3 6 4 6 4 3 6 6 3 3 3 4 3 4 3 3,6 5 6 5 6 5 6 5 5 5 5 5> {(0, 29): 't1', (0, 126): 't1^-1', (2, 112): 't1*tau3*t2^-1', (2, 47): 't2', (1, 51): 'tau2^-1', (1, 123): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 104): 't3*tau2', (1, 27): 't1', (1, 114): 't1', (0, 79): 't2^-1*tau3', (2, 16): 't1^-1', (2, 63): 't3^-1', (0, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 24): 't1', (1, 75): 't2^-1', (1, 35): 't3', (0, 88): 'tau3^-1', (0, 48): 'tau2^-1', (0, 125): 't1^-1', (1, 99): 'tau1^-1', (0, 119): 'tau2*t3', (0, 63): 't3^-1*tau2^-1', (0, 40): 't2', (0, 30): 't1', (2, 95): 'tau3^-1', (2, 103): 'tau1^-1', (1, 18): 't1^-1', (0, 127): 't1^-1*tau3^-1*t2', (2, 48): 'tau2^-1*t3^-1', (2, 31): 't1', (0, 104): 'tau1', (0, 15): 't1^-1', (0, 56): 't3^-1', (2, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 40): 't2*tau3^-1', (2, 55): 'tau2^-1', (1, 91): 'tau3^-1', }