U-tiling: UQC3143
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2396 |
*222222 |
(2,7,6) |
{9,3} |
{4.4.4.4.6.4.4.4.4}{4.4.6} |
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
|
|
sqc6422
|
|
Cmma |
67 |
orthorhombic |
{8,3} |
12 |
(2,7) |
|
G
|
False
|
|
sqc7050
|
|
C2/c |
15 |
monoclinic |
{9,3,3} |
12 |
(3,8) |
|
D
|
True
|
|
sqc1013
|
|
Cmmm |
65 |
orthorhombic |
{3,7} |
6 |
(2,6) |
Topological data
| Vertex degrees | {9,3} |
| 2D vertex symbol | {4.4.4.4.6.4.4.4.4}{4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.1:120:31 62 63 79 80 66 67 10 11 72 73 44 45 46 92 93 109 110 96 97 25 26 102 103 59 60 107 108 94 95 111 112 40 41 117 118 77 78 64 65 81 82 55 56 87 88 106 70 71 119 120 91 85 86 104 105 100 101 115 116,2 4 6 8 24 12 15 14 17 19 21 23 27 30 29 32 34 36 38 54 42 45 44 47 49 51 53 57 60 59 62 64 66 68 99 72 75 74 77 79 81 83 114 87 90 89 92 94 96 98 102 105 104 107 109 111 113 117 120 119,16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 91 63 65 67 69 71 73 75 106 78 80 82 84 86 88 90 93 95 97 99 101 103 105 108 110 112 114 116 118 120:4 4 4 4 6 4 4 4 4 4 4 4 4 6,9 3 3 9 3 3 9 3 9 3 3 3> {(0, 18): 't2', (0, 62): 't3*tau2', (0, 45): 't1', (0, 34): 't2^-1', (0, 19): 't2', (0, 63): 't3', (0, 30): 't1', (1, 113): 'tau1', (0, 46): 'tau2*t3', (0, 49): 't3^-1', (1, 98): 'tau1^-1', (0, 16): 'tau3*t2^-1', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (0, 31): 'tau3^-1*t2', (0, 32): 'tau3^-1*t2', (0, 3): 't3', (0, 47): 'tau2*t3', (0, 17): 'tau3*t2^-1', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 't3*tau2', (0, 33): 't2^-1', (2, 75): 'tau1^-1', (0, 4): 't3', (2, 60): 'tau1', }