U-tiling: UQC678
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc573 |
*22222 |
(2,5,3) |
{6,4} |
{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
|
|
sqc1253
|
|
P4/mmm |
123 |
tetragonal |
{4,5} |
6 |
(2,4) |
G
|
False
|
|
sqc7427
|
|
I4122 |
98 |
tetragonal |
{4,6} |
12 |
(2,5) |
D
|
False
|
|
sqc1717
|
|
P4222 |
93 |
tetragonal |
{6,4} |
6 |
(2,5) |
Topological data
Vertex degrees | {6,4} |
2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.5:128:17 3 20 21 38 39 80 25 11 28 29 46 47 64 19 54 55 96 27 70 71 88 49 35 52 53 112 65 43 68 69 104 51 128 81 59 84 85 102 103 67 120 89 75 92 93 110 111 83 118 119 91 126 127 113 99 116 117 121 107 124 125 115 123,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,9 18 19 5 7 24 26 27 13 15 32 25 21 23 29 31 57 50 51 37 39 56 73 66 67 45 47 72 81 53 55 82 83 61 63 88 89 69 71 90 91 77 79 96 85 87 93 95 105 114 115 101 103 120 122 123 109 111 128 121 117 119 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 6 4 6 4 6 6 6 4 6 6> {(0, 29): 't1', (2, 122): 'tau2^-1*t3^-1', (2, 56): 't3^-1', (2, 127): 'tau2^-1*t3^-1', (0, 125): 't1^-1', (0, 92): 'tau3^-1*t2', (0, 30): 't1', (2, 50): 'tau2^-1*t3^-1', (2, 17): 't1^-1', (0, 56): 't3^-1*tau2^-1', (2, 40): 't2', (0, 27): 't1', (2, 55): 'tau2^-1*t3^-1', (0, 115): 'tau2*t3', (0, 126): 't1^-1', (2, 113): 't1*tau3*t2^-1', (0, 123): 't1^-1*tau3^-1*t2', (0, 28): 't1', (2, 121): 'tau2^-1*t3^-1', (2, 88): 'tau3^-1', (0, 116): 'tau2*t3', (2, 42): 't2*tau3^-1', (0, 124): 't1^-1*tau3^-1*t2', (2, 47): 't2*tau3^-1', (2, 49): 'tau2^-1*t3^-1', (0, 88): 'tau3^-1*t2', (0, 59): 't3^-1*tau2^-1', (2, 24): 't1', (0, 23): 't1^-1', (0, 60): 't3^-1*tau2^-1', (2, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 18): 't1^-1', (0, 119): 't1', (2, 41): 't2*tau3^-1', (0, 24): 't1', (2, 23): 't1^-1', (0, 112): 'tau2*t3', (2, 114): 't1*tau3*t2^-1', (2, 48): 'tau2^-1', (0, 120): 't1^-1*tau3^-1*t2', (2, 104): 'tau1', (0, 91): 'tau3^-1*t2', (2, 119): 't1*tau3*t2^-1', }