U-tiling: UQC3104
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
|
|
sqc7135
|
|
Cmma |
67 |
orthorhombic |
{3,6} |
12 |
(2,7) |
|
G
|
False
|
|
sqc7132
|
|
C2/c |
15 |
monoclinic |
{3,6,6} |
12 |
(3,8) |
|
D
|
False
|
|
sqc7208
|
|
Imma |
74 |
orthorhombic |
{3,6} |
12 |
(2,7) |
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
<30.2:120:61 4 5 66 67 83 84 70 71 42 43 29 30 91 19 20 96 97 113 114 100 101 57 58 106 34 35 111 112 98 99 115 116 59 60 76 49 50 81 82 68 69 85 86 64 65 117 118 104 105 79 80 102 103 119 120 94 95 109 110,2 33 6 15 8 10 12 14 17 48 21 30 23 25 27 29 32 36 45 38 40 42 44 47 51 60 53 55 57 59 62 108 66 75 68 70 72 74 77 93 81 90 83 85 87 89 92 96 105 98 100 102 104 107 111 120 113 115 117 119,31 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 6 4 4 4 4 4 4 4 4 4 4 6 4,3 6 3 6 6 6 3 6 3 6 6 6> {(0, 103): 'tau1^-1', (0, 6): 'tau2^-1*t3^-1', (0, 51): 'tau2*t3', (0, 60): 't3*tau2', (0, 8): 't3', (0, 53): 't3^-1', (2, 45): 't1', (0, 20): 'tau3*t2^-1', (0, 119): 'tau1', (0, 45): 'tau2*t3', (0, 22): 't2', (2, 30): 't1', (0, 5): 'tau2^-1*t3^-1', (0, 36): 'tau3^-1*t2', (0, 7): 't3', (1, 32): 't1', (0, 38): 't2^-1', (2, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 50): 'tau2*t3', (0, 104): 'tau1^-1', (0, 21): 'tau3*t2^-1', (0, 30): 'tau3^-1*t2', (0, 52): 't3^-1', (1, 47): 't1', (0, 23): 't2', (0, 118): 'tau1', (0, 35): 'tau3^-1*t2', (1, 92): 't2*tau3^-1*t1^-1*tau2*t3', (0, 15): 'tau3*t2^-1', (0, 37): 't2^-1', (1, 107): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 60): 't3*tau2*t1^-1*tau3^-1*t2', }