U-tiling: UQC5515
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2201 |
*222222 |
(5,7,2) |
{4,3,4,4,4} |
{3.10.10.3}{3.10.10}{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
|
|
sqc1057
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc5887
|
|
C2/c |
15 |
monoclinic |
{4,3,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc5889
|
|
Imma |
74 |
orthorhombic |
{4,3,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,3,4,4,4} |
| 2D vertex symbol | {3.10.10.3}{3.10.10}{10.10.10.10}{10.10.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<120.1:104:14 3 5 7 73 10 12 78 16 18 20 99 23 25 104 40 29 31 33 86 36 38 91 42 44 46 60 49 51 65 79 55 57 59 62 64 92 68 70 72 75 77 81 83 85 88 90 94 96 98 101 103,2 16 6 9 8 11 13 15 19 22 21 24 26 28 42 32 35 34 37 39 41 45 48 47 50 52 54 81 58 61 60 63 65 67 94 71 74 73 76 78 80 84 87 86 89 91 93 97 100 99 102 104,27 4 5 32 33 60 22 23 37 38 65 40 17 18 45 46 86 50 51 91 30 31 99 48 49 104 43 44 73 78 92 56 57 97 98 87 88 102 103 79 69 70 84 85 100 101 89 90 82 83 95 96:3 10 10 3 10 10 3 3,4 3 4 4 4 4 4 4 3 4 3 4 4 3> {(2, 60): 'tau1', (2, 61): 'tau1', (2, 57): 't3*tau2*t1^-1*tau3^-1*t2', (2, 58): 't3*tau2*t1^-1*tau3^-1*t2', (0, 59): 't3', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 51): 't3^-1', (0, 52): 'tau1', (2, 44): 't1', (2, 45): 't1', (2, 46): 'tau2*t3', (0, 33): 't2^-1', (2, 32): 't1', (2, 33): 'tau3^-1*t2', (0, 25): 't2', (1, 93): 'tau1', (2, 26): 't1', (2, 20): 'tau3*t2^-1', (0, 38): 't2^-1', (2, 59): 't3*tau2', (0, 20): 't2', (2, 13): 't1^-1', (0, 12): 't3', (0, 7): 't3', (1, 54): 'tau1', (2, 31): 't1', (2, 100): 'tau1', (2, 99): 'tau1', (0, 91): 'tau1', (2, 84): 't2*tau3^-1*t1^-1*tau2*t3', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (2, 70): 't3^-1*tau2^-1*t1*tau3*t2^-1'}