U-tiling: UQC3239
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2441 |
*222222 |
(2,8,7) |
{5,7} |
{4.4.3.4.4}{3.4.4.4.4.4.4} |
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
|
False
|
|
sqc2223
|
|
Pmmm |
47 |
orthorhombic |
{5,7} |
6 |
(2,8) |
|
G
|
False
|
|
sqc8304
|
|
C2/c |
15 |
monoclinic |
{7,5,5} |
12 |
(3,9) |
|
D
|
True
|
|
sqc7591
|
|
Imma |
74 |
orthorhombic |
{6,5} |
12 |
(2,8) |
Topological data
| Vertex degrees | {7,5} |
| 2D vertex symbol | {4.4.3.4.4}{3.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<51.2:136:69 87 88 72 73 8 9 78 79 46 47 31 32 50 51 103 121 122 106 107 25 26 112 113 63 64 67 68 120 104 105 123 124 42 43 129 130 65 66 86 70 71 89 90 59 60 95 96 76 77 131 132 116 117 135 136 93 94 114 115 133 134 118 119 110 111 127 128,2 4 6 41 10 17 12 14 16 19 21 23 58 27 34 29 31 33 36 38 40 44 51 46 48 50 53 55 57 61 68 63 65 67 70 72 74 126 78 85 80 82 84 87 89 91 109 95 102 97 99 101 104 106 108 112 119 114 116 118 121 123 125 129 136 131 133 135,35 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 98 100 102 105 107 109 111 113 115 117 119 122 124 126 128 130 132 134 136:4 4 4 3 4 4 4 4 4 4 3 4 4 4 3 4 4 3,7 5 7 5 5 5 7 5 7 5 5 5> {(0, 51): 'tau2*t3', (1, 57): 't1', (1, 108): 't2*tau3^-1*t1^-1*tau2*t3', (0, 18): 't2', (0, 53): 't3^-1', (0, 1): 't3', (0, 116): 'tau1^-1', (0, 83): 't3*tau2*t1^-1*tau3^-1*t2', (0, 32): 't1^-1', (1, 40): 't1', (0, 34): 'tau3^-1*t2', (2, 102): 't2*tau3^-1*t1^-1*tau2*t3', (0, 115): 'tau1^-1', (0, 133): 'tau1', (2, 34): 't1', (0, 17): 'tau3*t2^-1', (0, 135): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 19): 't2', (0, 50): 't1', (0, 52): 't3^-1', (0, 33): 't1^-1', (0, 36): 't2^-1', (2, 17): 't1^-1', (0, 0): 'tau2^-1*t3^-1', (0, 118): 't2*tau3^-1*t1^-1*tau2*t3', (0, 35): 't2^-1', (0, 2): 't3', (0, 15): 't1^-1', (1, 125): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 117): 't2*tau3^-1*t1^-1*tau2*t3', (0, 132): 'tau1', (2, 119): 't2^-1*tau3*t1*tau2^-1*t3^-1', }