U-tiling: UQC856
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
|
True
|
|
sqc6697
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc7564
|
|
I4122 |
98 |
tetragonal |
{6,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1879
|
|
P42/mmc |
131 |
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
<34.2:128:73 18 19 6 7 24 57 26 27 14 15 32 89 22 23 81 30 31 105 50 51 38 39 56 97 66 67 46 47 72 121 54 55 82 83 62 63 88 113 70 71 90 91 78 79 96 86 87 94 95 114 115 102 103 120 122 123 110 111 128 118 119 126 127,2 4 8 14 23 10 12 16 31 18 20 24 30 26 28 32 34 36 40 62 55 42 44 48 78 71 50 52 56 86 58 60 64 87 66 68 72 94 74 76 80 95 82 84 88 90 92 96 98 100 104 110 119 106 108 112 127 114 116 120 126 122 124 128,33 3 5 7 40 41 11 13 15 48 49 19 21 23 56 65 27 29 31 72 35 37 39 43 45 47 51 53 55 97 59 61 63 104 67 69 71 105 75 77 79 112 113 83 85 87 120 121 91 93 95 128 99 101 103 107 109 111 115 117 119 123 125 127:4 6 3 4 3 4 6 3 4 6 3 3 3 6 3 3,6 4 6 6 6 4 4 6 6 6 6 4> {(1, 85): 'tau2', (1, 30): 't1', (1, 118): 'tau2*t3', (0, 121): 'tau2^-1*t3^-1', (0, 41): 't2*tau3^-1', (0, 16): 't1^-1', (0, 31): 't1', (1, 77): 't2^-1', (2, 120): 't1^-1', (0, 119): 'tau2*t3', (0, 18): 't1^-1', (2, 127): 't1^-1', (1, 61): 't3^-1', (1, 93): 'tau3^-1', (1, 29): 't1', (1, 126): 't1^-1*tau3^-1*t2', (0, 17): 't1^-1', (0, 112): 't1', (1, 86): 'tau2*t3', (0, 114): 't1*tau3*t2^-1', (0, 50): 'tau2^-1*t3^-1', (0, 63): 't3^-1*tau2^-1', (1, 109): 'tau1', (0, 95): 'tau3^-1*t2', (2, 24): 't1', (0, 42): 't2*tau3^-1', (0, 127): 't1^-1*tau3^-1*t2', (0, 113): 't1*tau3*t2^-1', (2, 31): 't1', (1, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 94): 'tau3^-1*t2', (0, 49): 'tau2^-1*t3^-1', (0, 122): 'tau2^-1*t3^-1', }