U-tiling: UQC3227
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2438 |
*222222 |
(2,8,7) |
{7,3} |
{4.4.3.4.4.4.4}{3.4.4} |
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
|
|
sqc8298
|
|
Cmma |
67 |
orthorhombic |
{3,7} |
12 |
(2,8) |
|
G
|
False
|
|
sqc8281
|
|
C2/c |
15 |
monoclinic |
{3,7,7} |
12 |
(3,9) |
|
D
|
False
|
|
sqc8324
|
|
Imma |
74 |
orthorhombic |
{3,7} |
12 |
(2,8) |
Topological data
| Vertex degrees | {3,7} |
| 2D vertex symbol | {4.4.3.4.4.4.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.2:136:69 4 5 74 75 93 94 78 79 46 47 31 32 50 51 103 21 22 108 109 127 128 112 113 63 64 67 68 120 38 39 125 126 110 111 129 130 65 66 86 55 56 91 92 76 77 95 96 72 73 131 132 116 117 135 136 89 90 114 115 133 134 118 119 106 107 123 124,2 37 6 17 8 10 12 14 16 19 54 23 34 25 27 29 31 33 36 40 51 42 44 46 48 50 53 57 68 59 61 63 65 67 70 122 74 85 76 78 80 82 84 87 105 91 102 93 95 97 99 101 104 108 119 110 112 114 116 118 121 125 136 127 129 131 133 135,35 3 5 7 9 11 13 15 17 52 20 22 24 26 28 30 32 34 37 39 41 43 45 47 49 51 54 56 58 60 62 64 66 68 120 71 73 75 77 79 81 83 85 103 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 3 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 3,3 7 3 7 7 7 3 7 3 7 7 7> {(0, 39): 'tau3^-1*t2', (0, 135): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 6): 'tau2^-1*t3^-1', (0, 134): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 51): 'tau2*t3', (1, 121): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 41): 't2^-1', (0, 8): 't3', (2, 51): 't1', (0, 115): 'tau1^-1', (0, 32): 't1^-1', (1, 104): 't2*tau3^-1*t1^-1*tau2*t3', (0, 22): 'tau3*t2^-1', (1, 36): 't1', (0, 57): 'tau2*t3', (0, 34): 'tau3^-1*t2', (2, 102): 't2*tau3^-1*t1^-1*tau2*t3', (0, 24): 't2', (0, 5): 'tau2^-1*t3^-1', (0, 59): 't3^-1', (2, 34): 't1', (0, 17): 'tau3*t2^-1', (0, 7): 't3', (1, 53): 't1', (0, 50): 't1', (0, 40): 'tau3^-1*t2', (0, 133): 'tau1', (0, 116): 'tau1^-1', (0, 33): 't1^-1', (0, 42): 't2^-1', (0, 23): 'tau3*t2^-1', (0, 0): 'tau2^-1*t3^-1', (0, 118): 't2*tau3^-1*t1^-1*tau2*t3', (0, 25): 't2', (2, 68): 't3*tau2*t1^-1*tau3^-1*t2', (0, 56): 'tau2*t3', (0, 117): 't2*tau3^-1*t1^-1*tau2*t3', (0, 132): 'tau1', (0, 49): 't1', (0, 58): 't3^-1', }