U-tiling: UQC3142
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
|
False
|
|
sqc1460
|
|
Pmmm |
47 |
orthorhombic |
{9,3} |
6 |
(2,7) |
|
G
|
False
|
|
sqc7042
|
|
C2/c |
15 |
monoclinic |
{9,3,3} |
12 |
(3,8) |
|
D
|
True
|
|
sqc1144
|
|
Cmmm |
65 |
orthorhombic |
{8,3} |
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
<39.2:120:61 77 78 64 65 36 37 10 11 42 43 29 30 91 107 108 94 95 51 52 25 26 57 58 106 92 93 109 110 40 41 59 60 76 62 63 79 80 55 56 111 112 70 71 117 118 104 105 96 97 85 86 102 103 119 120 100 101 115 116,2 4 6 8 39 12 15 14 17 19 21 23 54 27 30 29 32 34 36 38 42 45 44 47 49 51 53 57 60 59 62 64 66 68 114 72 75 74 77 79 81 83 99 87 90 89 92 94 96 98 102 105 104 107 109 111 113 117 120 119,31 3 5 7 9 11 13 15 46 18 20 22 24 26 28 30 33 35 37 39 41 43 45 48 50 52 54 56 58 60 106 63 65 67 69 71 73 75 91 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 6 4 4,9 3 9 3 3 3 9 3 9 3 3 3> {(0, 103): 'tau1^-1', (0, 62): 't3', (0, 1): 't3', (0, 45): 'tau2*t3', (2, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 104): 'tau1^-1', (0, 30): 'tau3^-1*t2', (1, 113): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 118): 'tau1', (1, 98): 't2*tau3^-1*t1^-1*tau2*t3', (0, 16): 't2', (0, 60): 't3*tau2', (0, 31): 't2^-1', (0, 77): 't3^-1', (2, 45): 't1', (0, 119): 'tau1', (0, 32): 't2^-1', (2, 30): 't1', (0, 17): 't2', (1, 53): 't1', (0, 61): 't3', (1, 8): 't1^-1', (0, 15): 'tau3*t2^-1', (2, 60): 't3*tau2*t1^-1*tau3^-1*t2', }