U-tiling: UQC918
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc670 |
*22222 |
(2,4,3) |
{10,3} |
{4.4.4.4.4.4.4.4.4.4}{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
|
|
sqc1468
|
|
P4/mmm |
123 |
tetragonal |
{3,9} |
6 |
(2,4) |
|
G
|
False
|
|
sqc7479
|
|
I4122 |
98 |
tetragonal |
{3,10} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1789
|
|
P4222 |
93 |
tetragonal |
{3,10} |
6 |
(2,4) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<31.4:128:9 4 5 14 15 24 12 13 32 25 20 21 30 31 28 29 57 36 37 62 63 56 73 44 45 78 79 72 81 52 53 86 87 60 61 88 89 68 69 94 95 76 77 96 84 85 92 93 105 100 101 110 111 120 108 109 128 121 116 117 126 127 124 125,2 19 6 77 8 10 27 14 61 16 18 22 93 24 26 30 85 32 34 51 38 109 40 42 67 46 101 48 50 54 125 56 58 83 62 64 66 70 117 72 74 91 78 80 82 86 88 90 94 96 98 115 102 104 106 123 110 112 114 118 120 122 126 128,17 3 5 7 40 25 11 13 15 48 19 21 23 56 27 29 31 72 49 35 37 39 65 43 45 47 51 53 55 81 59 61 63 104 67 69 71 89 75 77 79 112 83 85 87 120 91 93 95 128 113 99 101 103 121 107 109 111 115 117 119 123 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 10 3 10 10 10 3 3 3 3 3 3> {(1, 34): 't3*tau2', (0, 29): 't1', (2, 0): 't1', (0, 127): 't1^-1*tau3^-1*t2', (0, 93): 'tau3^-1', (0, 31): 't1', (0, 53): 'tau2^-1', (0, 62): 't3^-1', (0, 46): 't2', (1, 114): 't1*tau3*t2^-1', (0, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 45): 't2', (0, 110): 'tau1', (2, 127): 't1^-1', (0, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 24): 't1', (2, 96): 't2*tau3^-1*t1^-1', (0, 88): 'tau3^-1', (1, 20): 't1^-1', (1, 66): 'tau3*t2^-1', (0, 48): 'tau2^-1', (0, 61): 't3^-1', (2, 32): 't3*tau2', (0, 119): 'tau2*t3', (0, 70): 'tau3', (1, 122): 'tau2^-1*t3^-1', (0, 40): 't2', (0, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 30): 't1', (0, 109): 'tau1', (2, 120): 'tau2^-1*t3^-1', (1, 18): 't1^-1', (0, 63): 't3^-1*tau2^-1', (0, 54): 'tau2^-1', (2, 31): 't1', (0, 104): 'tau1', (0, 79): 't2^-1*tau3', (0, 56): 't3^-1', (2, 40): 't2*tau3^-1', (1, 116): 't1', }