U-tiling: UQC5505
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2199 |
*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
|
|
sqc1040
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc6072
|
|
C2/c |
15 |
monoclinic |
{4,3,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc6067
|
|
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
<118.1:104:14 3 5 58 8 10 12 65 16 18 84 21 23 25 91 40 29 31 97 34 36 38 104 42 44 71 47 49 51 78 79 55 57 60 62 64 92 68 70 73 75 77 81 83 86 88 90 94 96 99 101 103,2 16 6 7 9 11 13 15 19 20 22 24 26 28 42 32 33 35 37 39 41 45 46 48 50 52 54 81 58 59 61 63 65 67 94 71 72 74 76 78 80 84 85 87 89 91 93 97 98 100 102 104,27 4 5 32 20 21 35 36 63 64 78 40 17 18 45 48 49 89 90 104 30 31 46 47 102 103 91 43 44 76 77 65 92 56 57 97 85 86 100 101 79 69 70 84 98 99 87 88 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> {(0, 57): 't3*tau2', (2, 57): 't3*tau2*t1^-1*tau3^-1*t2', (2, 58): 'tau1', (2, 59): 'tau1', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 51): 'tau2*t3', (0, 52): 'tau1', (2, 51): 't3^-1', (2, 44): 't1', (0, 44): 'tau2*t3', (2, 38): 't2^-1', (2, 39): 't1', (0, 38): 'tau3^-1*t2', (0, 25): 'tau3*t2^-1', (1, 93): 'tau1', (0, 31): 'tau3^-1*t2', (2, 26): 't1', (0, 18): 'tau3*t2^-1', (1, 80): 'tau1^-1', (2, 12): 't3', (0, 12): 'tau2^-1*t3^-1', (2, 5): 't1^-1', (2, 103): 't2^-1', (2, 97): 'tau1', (0, 91): 'tau1', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (2, 72): 'tau1^-1', (2, 70): 't3^-1*tau2^-1*t1*tau3*t2^-1'}