U-tiling: UQC5509
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2200 |
*222222 |
(5,7,2) |
{3,4,4,4,4} |
{10.3.10}{10.10.3.3}{10.10.10.10... |
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
|
|
sqc1038
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,3} |
7 |
(5,7) |
|
G
|
False
|
|
sqc6071
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc6065
|
|
Imma |
74 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {3,4,4,4,4} |
| 2D vertex symbol | {10.3.10}{10.10.3.3}{10.10.10.10}{10.10.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<119.2:104:27 3 5 58 8 10 12 39 40 16 18 84 21 23 25 52 29 31 97 34 36 38 42 44 71 47 49 51 92 55 57 60 62 64 104 79 68 70 73 75 77 91 81 83 86 88 90 94 96 99 101 103,2 7 56 6 9 11 13 15 20 82 19 22 24 26 28 33 95 32 35 37 39 41 46 69 45 48 50 52 54 59 58 61 63 65 67 72 71 74 76 78 80 85 84 87 89 91 93 98 97 100 102 104,53 4 5 71 72 73 61 62 37 38 26 79 17 18 97 98 99 87 88 50 51 92 30 31 84 85 86 100 101 52 66 43 44 58 59 60 74 75 56 57 102 103 91 69 70 89 90 104 82 83 95 96:10 3 10 3 3 3 10 10,3 4 4 4 4 3 4 4 4 3 4 3 4 4> {(0, 57): 't3*tau2', (2, 57): 't3', (2, 58): 't3', (2, 59): 't3', (2, 52): 't3*tau2', (0, 51): 't1', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 44): 'tau2*t3', (2, 39): 'tau2*t3', (2, 32): 't2^-1', (2, 33): 't2^-1', (0, 26): 't1', (2, 31): 't2^-1', (0, 31): 'tau3^-1*t2', (2, 26): 'tau3^-1*t2', (1, 94): 't2^-1*tau3', (0, 18): 'tau3*t2^-1', (0, 38): 't1', (2, 18): 't2', (2, 19): 't2', (2, 13): 'tau3*t2^-1', (0, 13): 't1^-1', (2, 5): 't3', (2, 6): 't3', (2, 7): 't3', (1, 68): 't3^-1*tau2^-1', (1, 55): 't3*tau2', (2, 103): 'tau1', (2, 98): 't2^-1', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (1, 16): 'tau3*t2^-1', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 64): 't3*tau2*t1^-1*tau3^-1*t2', (2, 64): 'tau1'}