U-tiling: UQC3243
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2442 |
*222222 |
(2,8,7) |
{9,4} |
{4.4.4.4.3.4.4.4.4}{4.4.4.3} |
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
|
|
sqc7553
|
|
Cmma |
67 |
orthorhombic |
{8,4} |
12 |
(2,8) |
|
G
|
False
|
|
sqc8278
|
|
C2/c |
15 |
monoclinic |
{9,4,4} |
12 |
(3,9) |
|
D
|
True
|
|
sqc1478
|
|
Cmmm |
65 |
orthorhombic |
{4,7} |
6 |
(2,7) |
Topological data
| Vertex degrees | {9,4} |
| 2D vertex symbol | {4.4.4.4.3.4.4.4.4}{4.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.1:136:35 70 71 89 90 74 75 10 11 80 81 48 49 33 34 52 104 105 123 124 108 109 27 28 114 115 65 66 121 122 106 107 125 126 44 45 131 132 67 68 87 88 72 73 91 92 61 62 97 98 120 78 79 133 134 118 119 103 95 96 116 117 135 136 112 113 129 130,2 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 76 111 80 85 82 84 87 89 91 93 128 97 102 99 101 104 106 108 110 114 119 116 118 121 123 125 127 131 136 133 135,18 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 68 103 71 73 75 77 79 81 83 85 120 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 4 3 4 4 4 4 4 4 4 4 3 4 3 4 3,9 4 4 9 4 4 9 4 9 4 4 4> {(0, 51): 't1', (0, 18): 'tau3*t2^-1', (0, 1): 'tau2^-1*t3^-1', (0, 55): 't3^-1', (2, 102): 'tau1^-1', (0, 34): 't1', (0, 38): 't2^-1', (0, 19): 'tau3*t2^-1', (0, 52): 'tau2*t3', (0, 118): 'tau1^-1', (0, 35): 'tau3^-1*t2', (0, 2): 'tau2^-1*t3^-1', (0, 134): 'tau1', (0, 53): 'tau2*t3', (1, 110): 'tau1^-1', (0, 20): 't2', (0, 119): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 3): 't3', (0, 36): 'tau3^-1*t2', (0, 135): 'tau1', (0, 102): 't2*tau3^-1*t1^-1*tau2*t3', (0, 83): 'tau1', (0, 21): 't2', (0, 54): 't3^-1', (0, 37): 't2^-1', (0, 4): 't3', (2, 119): 'tau1', (1, 127): 'tau1', }