U-tiling: UQC5756
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2333 |
*222222 |
(5,7,2) |
{4,4,4,8,4} |
{8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.... |
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
|
True
|
|
sqc5995
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,7,4} |
12 |
(5,7) |
|
G
|
False
|
|
sqc6536
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,8,4} |
12 |
(5,8) |
|
D
|
False
|
|
sqc1201
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,8} |
6 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,8,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:112:15 3 5 7 9 11 13 28 17 19 21 23 25 27 43 31 33 35 37 39 41 56 45 47 49 51 53 55 71 59 61 63 65 67 69 84 73 75 77 79 81 83 99 87 89 91 93 95 97 112 101 103 105 107 109 111,2 4 6 14 10 13 12 16 18 20 28 24 27 26 30 32 34 42 38 41 40 44 46 48 56 52 55 54 58 60 62 70 66 69 68 72 74 76 84 80 83 82 86 88 90 98 94 97 96 100 102 104 112 108 111 110,29 58 59 18 19 8 9 24 25 40 41 70 43 72 73 22 23 54 55 84 86 87 46 47 36 37 52 53 98 100 101 50 51 112 85 74 75 64 65 80 81 96 97 99 78 79 110 111 102 103 92 93 108 109 106 107:8 3 3 8 3 3 8 3 3 8 3 3,4 4 4 8 4 4 8 4 4 4 4 4> {(0, 56): 't2^-1*tau3', (2, 52): 'tau2^-1*t3^-1', (2, 53): 'tau2^-1*t1', (2, 54): 'tau2^-1*t1', (2, 55): 't3*tau1^-1*t2^-1*tau3*t1', (2, 51): 'tau2^-1*t3^-1', (2, 45): 'tau2^-1*t3^-1', (2, 46): 'tau2^-1*t3^-1', (2, 40): 't3', (2, 41): 't3*tau1^-1', (2, 39): 't3', (2, 24): 't1^-1', (2, 27): 'tau3', (2, 23): 't1^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 18): 't1^-1', (2, 13): 't2', (2, 15): 't1^-1', (2, 108): 'tau2^-1*t3^-1', (2, 109): 'tau2^-1*t3^-1*tau1*t2', (0, 111): 't1^-1*tau3^-1*t2', (2, 107): 'tau2^-1*t3^-1', (0, 98): 't1^-1*tau3^-1*t2', (2, 101): 'tau2^-1*t3^-1', (2, 102): 'tau2^-1*t3^-1', (2, 96): 'tau1*t2', (2, 98): 't1^-1', (2, 95): 'tau1*t2', (2, 82): 't2^-1*tau1^-1*t3*tau2', (0, 69): 't2^-1*tau3'}