U-tiling: UQC6071
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2446 |
*222222 |
(7,8,2) |
{4,4,4,4,3,4,4} |
{9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.... |
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) |
G
|
False
|
|
sqc8310
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,4,3,4,4} |
18 |
(7,9) |
Topological data
Vertex degrees | {4,4,4,4,3,4,4} |
2D vertex symbol | {9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.4.9}{9.4.4}{4.4.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.1:136:18 3 5 7 9 11 13 15 17 20 22 24 26 28 30 32 34 52 37 39 41 43 45 47 49 51 54 56 58 60 62 64 66 68 86 71 73 75 77 79 81 83 85 88 90 92 94 96 98 100 102 120 105 107 109 111 113 115 117 119 122 124 126 128 130 132 134 136,2 4 6 8 26 12 17 14 16 19 21 23 25 29 34 31 33 36 38 40 42 60 46 51 48 50 53 55 57 59 63 68 65 67 70 72 74 76 94 80 85 82 84 87 89 91 93 97 102 99 101 104 106 108 110 128 114 119 116 118 121 123 125 127 131 136 133 135,35 70 71 21 22 40 41 10 11 46 47 82 83 33 34 52 87 88 57 58 27 28 63 64 99 100 104 105 55 56 44 45 116 117 67 68 121 122 61 62 133 134 103 89 90 108 109 78 79 114 115 101 102 120 125 126 95 96 131 132 123 124 112 113 135 136 129 130:9 4 4 9 4 4 9 4 4 9 4 4,4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 3 4 3> {(2, 62): 'tau2^-1*t1', (2, 63): 'tau2^-1*t1', (2, 56): 'tau2^-1*t1', (2, 57): 'tau2^-1*t1', (1, 127): 't1^-1*tau3^-1*t2', (2, 54): 'tau2^-1*t3^-1', (2, 55): 'tau2^-1*t3^-1', (2, 48): 't3*tau1^-1', (2, 45): 't3', (2, 46): 't3', (2, 47): 't3*tau1^-1', (2, 40): 't3', (2, 39): 't3', (2, 30): 'tau3', (2, 31): 'tau3', (1, 93): 'tau3^-1*t2', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 13): 't2', (2, 14): 't2', (2, 132): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 133): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 135): 't1^-1*tau3^-1*t2', (2, 130): 'tau2^-1*t3^-1*tau1*t2', (2, 124): 'tau2^-1*t3^-1*tau1*t2', (2, 125): 'tau2^-1*t3^-1*tau1*t2', (2, 122): 'tau2^-1*t3^-1', (2, 123): 'tau2^-1*t3^-1', (2, 117): 't2^-1*tau3*t1', (2, 119): 't1^-1', (2, 113): 'tau1*t2', (2, 114): 'tau1*t2', (0, 119): 't1^-1*tau3^-1*t2', (2, 108): 'tau1*t2', (2, 107): 'tau1*t2', (2, 100): 'tau3^-1*t2', (2, 101): 'tau3^-1*t2', (2, 97): 't2^-1*tau1^-1*t3*tau2', (0, 85): 'tau3^-1*t2'}