U-tiling: UQC3105
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2391 |
*222222 |
(2,7,6) |
{6,3} |
{4.4.6.4.4.4}{6.4.4} |
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
|
|
sqc7128
|
|
Cmma |
67 |
orthorhombic |
{3,6} |
12 |
(2,7) |
|
G
|
False
|
|
sqc7133
|
|
C2/c |
15 |
monoclinic |
{3,6,6} |
12 |
(3,8) |
|
D
|
False
|
|
sqc1504
|
|
Cmmm |
65 |
orthorhombic |
{6,3} |
6 |
(2,6) |
Topological data
| Vertex degrees | {3,6} |
| 2D vertex symbol | {4.4.6.4.4.4}{6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.3:120:76 4 5 81 82 68 69 40 41 27 28 44 45 106 19 20 111 112 98 99 55 56 59 60 91 34 35 96 97 113 114 57 58 61 49 50 66 67 83 84 64 65 115 116 102 103 119 120 79 80 100 101 117 118 104 105 94 95 109 110,2 63 6 15 8 10 12 14 17 93 21 30 23 25 27 29 32 108 36 45 38 40 42 44 47 78 51 60 53 55 57 59 62 66 75 68 70 72 74 77 81 90 83 85 87 89 92 96 105 98 100 102 104 107 111 120 113 115 117 119,61 3 5 7 9 11 13 15 91 18 20 22 24 26 28 30 106 33 35 37 39 41 43 45 76 48 50 52 54 56 58 60 63 65 67 69 71 73 75 78 80 82 84 86 88 90 93 95 97 99 101 103 105 108 110 112 114 116 118 120:4 6 4 4 4 4 4 6 4 4 4 4 4 4,3 6 3 6 3 6 3 6 6 6 6 6> {(0, 103): 't2*tau3^-1*t1^-1*tau2*t3', (0, 6): 't3', (0, 51): 't3^-1', (0, 60): 't3', (2, 45): 'tau2*t3', (0, 117): 'tau1', (0, 43): 't1', (0, 20): 't2', (0, 58): 't1', (0, 119): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 30): 'tau3^-1*t2', (0, 5): 't3', (0, 59): 't1', (0, 36): 't2^-1', (1, 2): 'tau2^-1*t3^-1', (0, 102): 'tau1^-1', (2, 15): 'tau3*t2^-1', (0, 50): 't3^-1', (0, 104): 't2*tau3^-1*t1^-1*tau2*t3', (0, 21): 't2', (0, 30): 't2^-1', (0, 116): 'tau1', (0, 0): 't3', (0, 118): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 35): 't2^-1', (0, 44): 't1', (1, 92): 't2*tau3^-1', (1, 77): 't3^-1*tau2^-1', (0, 15): 't2', (0, 101): 'tau1^-1', (1, 107): 't2^-1*tau3', (2, 60): 't3*tau2', }