U-tiling: UQC3191
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc583 |
*2244 |
(2,4,4) |
{5,3} |
{4.4.8.8.4}{8.4.8} |
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
|
|
sqc7687
|
|
Cmma |
67 |
orthorhombic |
{3,5} |
16 |
(2,7) |
|
G
|
False
|
|
sqc7685
|
|
C2/c |
15 |
monoclinic |
{3,3,5,5} |
16 |
(4,8) |
|
D
|
False
|
|
sqc1744
|
|
Cmmm |
65 |
orthorhombic |
{5,3} |
8 |
(2,6) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.8.8.4.4}{8.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:128:17 18 35 36 7 8 73 74 91 92 77 78 47 48 51 52 23 24 105 106 123 124 109 110 63 64 49 50 39 40 121 122 107 108 125 126 55 56 89 90 75 76 93 94 97 98 115 116 71 72 127 128 113 114 99 100 87 88 111 112 103 104 119 120,3 6 5 9 16 11 13 15 19 22 21 25 32 27 29 31 35 38 37 41 48 43 45 47 51 54 53 57 64 59 61 63 67 70 69 73 80 75 77 79 83 86 85 89 96 91 93 95 99 102 101 105 112 107 109 111 115 118 117 121 128 123 125 127,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:4 8 8 4 4 4 8 4 4 4 4 8,3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5> {(0, 51): 't1', (0, 41): 'tau3^-1*t2', (0, 8): 'tau2^-1*t3^-1', (0, 96): 'tau1^-1', (0, 34): 't1', (0, 59): 't3^-1', (0, 26): 't2', (0, 9): 'tau2^-1*t3^-1', (0, 114): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 97): 'tau1^-1', (0, 42): 't2^-1', (0, 35): 't1', (0, 56): 'tau2*t3', (0, 27): 't2', (0, 115): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 43): 't2^-1', (0, 10): 't3', (0, 57): 'tau2*t3', (0, 98): 't2*tau3^-1*t1^-1*tau2*t3', (0, 24): 'tau3*t2^-1', (0, 112): 'tau1', (0, 50): 't1', (0, 40): 'tau3^-1*t2', (0, 11): 't3', (0, 99): 't2*tau3^-1*t1^-1*tau2*t3', (0, 25): 'tau3*t2^-1', (0, 113): 'tau1', (0, 58): 't3^-1', }