U-tiling: UQC6069
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
|
|
sqc8357
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,3,4,4} |
18 |
(7,9) |
D
|
False
|
|
sqc8355
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,3,4,4} |
18 |
(7,8) |
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
<52.3:136:69 3 5 7 9 11 13 15 17 103 20 22 24 26 28 30 32 34 120 37 39 41 43 45 47 49 51 86 54 56 58 60 62 64 66 68 71 73 75 77 79 81 83 85 88 90 92 94 96 98 100 102 105 107 109 111 113 115 117 119 122 124 126 128 130 132 134 136,2 4 6 8 77 12 17 14 16 19 21 23 25 111 29 34 31 33 36 38 40 42 128 46 51 48 50 53 55 57 59 94 63 68 65 67 70 72 74 76 80 85 82 84 87 89 91 93 97 102 99 101 104 106 108 110 114 119 116 118 121 123 125 127 131 136 133 135,86 70 71 38 39 23 24 10 11 29 30 48 49 84 85 120 104 105 55 56 27 28 65 66 118 119 103 121 122 57 58 44 45 63 64 135 136 69 87 88 61 62 101 102 123 124 108 109 78 79 114 115 133 134 106 107 125 126 95 96 131 132 116 117 112 113 129 130:9 4 9 4 9 4 9 4 4 4 4 4,4 4 4 4 3 4 4 4 4 3 4 4 3 3 4 4 4 4> {(1, 127): 't2^-1*tau3', (0, 51): 'tau2*t3', (2, 48): 't1', (2, 49): 'tau3^-1*t2', (2, 50): 'tau3^-1*t2', (2, 51): 't3^-1', (2, 47): 't1', (1, 110): 't2*tau3^-1', (0, 34): 'tau3^-1*t2', (2, 32): 'tau3*t2^-1', (2, 33): 'tau3*t2^-1', (2, 34): 't2^-1', (2, 30): 't1^-1', (2, 31): 't1^-1', (1, 93): 't3^-1*tau2^-1', (0, 17): 'tau3*t2^-1', (2, 16): 'tau2^-1*t3^-1', (2, 17): 't2', (1, 76): 't3*tau2', (2, 132): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 133): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 0): 'tau2^-1*t3^-1', (2, 0): 't3', (2, 124): 'tau1', (2, 125): 'tau1', (2, 116): 't2*tau3^-1*t1^-1*tau2*t3', (2, 113): 'tau1^-1', (2, 114): 'tau1^-1', (2, 115): 't2*tau3^-1*t1^-1*tau2*t3', (2, 108): 'tau1^-1', (2, 107): 'tau1^-1', (2, 100): 't3^-1*tau2^-1', (2, 101): 't3^-1*tau2^-1', (2, 96): 'tau1^-1', (2, 97): 'tau1^-1', (2, 83): 't3*tau2'}