U-tiling: UQC6070
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) |
P
|
False
|
|
sqc2228
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,4,4,4,4} |
9 |
(7,8) |
G
|
False
|
|
sqc8372
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,3,4,4} |
18 |
(7,9) |
D
|
False
|
|
sqc8376
|
|
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
<52.2:136:35 3 5 7 9 11 13 15 17 52 20 22 24 26 28 30 32 34 37 39 41 43 45 47 49 51 54 56 58 60 62 64 66 68 120 71 73 75 77 79 81 83 85 103 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 43 12 17 14 16 19 21 23 25 60 29 34 31 33 36 38 40 42 46 51 48 50 53 55 57 59 63 68 65 67 70 72 74 76 128 80 85 82 84 87 89 91 93 111 97 102 99 101 104 106 108 110 114 119 116 118 121 123 125 127 131 136 133 135,69 87 88 72 73 40 41 10 11 46 47 31 32 50 51 103 121 122 106 107 57 58 27 28 63 64 67 68 120 104 105 123 124 44 45 65 66 86 70 71 89 90 61 62 125 126 78 79 131 132 116 117 135 136 108 109 95 96 114 115 133 134 118 119 112 113 129 130:9 4 9 4 4 4 9 4 9 4 4 4,4 4 4 4 3 4 4 4 4 4 4 3 4 3 4 4 4 3> {(1, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 52): 't3^-1', (0, 51): 't1', (2, 49): 't1', (2, 50): 't1', (2, 51): 'tau2*t3', (0, 34): 't1', (1, 110): 't2*tau3^-1*t1^-1*tau2*t3', (2, 36): 't2^-1', (2, 32): 't1^-1', (2, 33): 't1^-1', (2, 34): 'tau3^-1*t2', (2, 35): 't2^-1', (2, 17): 'tau3*t2^-1', (2, 18): 't2', (2, 19): 't2', (2, 53): 't3^-1', (2, 132): 'tau1', (2, 133): 'tau1', (2, 135): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 0): 'tau2^-1*t3^-1', (2, 1): 't3', (2, 2): 't3', (1, 59): 't1', (2, 116): 'tau1^-1', (2, 117): 't2*tau3^-1*t1^-1*tau2*t3', (2, 118): 't2*tau3^-1*t1^-1*tau2*t3', (0, 119): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 115): 'tau1^-1', (1, 42): 't1', (0, 102): 't2*tau3^-1*t1^-1*tau2*t3', (2, 83): 't3*tau2*t1^-1*tau3^-1*t2'}