U-tiling: UQC5544
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2208 |
*222222 |
(5,7,2) |
{4,4,4,4,3} |
{9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.... |
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
|
|
sqc1035
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc5858
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,3} |
14 |
(5,8) |
|
D
|
False
|
|
sqc5863
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,3} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,3} |
| 2D vertex symbol | {9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.4.9}{9.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<127.1:104:14 3 5 7 9 11 38 39 16 18 20 22 24 51 52 40 29 31 33 35 37 42 44 46 48 50 79 55 57 59 61 63 103 104 92 68 70 72 74 76 90 91 81 83 85 87 89 94 96 98 100 102,2 4 6 8 22 12 13 15 17 19 21 25 26 28 30 32 34 48 38 39 41 43 45 47 51 52 54 56 58 60 87 64 65 67 69 71 73 100 77 78 80 82 84 86 90 91 93 95 97 99 103 104,27 54 55 69 70 58 59 10 11 64 26 40 80 81 95 96 84 85 23 24 90 93 94 82 83 97 98 36 37 103 52 67 68 56 57 71 72 49 50 77 92 62 63 91 79 75 76 104 88 89 101 102:9 4 4 9 9 4 9 4,4 4 4 4 3 4 4 4 4 4 3 4 3 3> {(2, 56): 't3', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 53): 't3*tau2', (2, 54): 't3*tau2', (2, 55): 't3', (0, 52): 'tau1', (2, 40): 'tau2*t3', (2, 41): 'tau2*t3', (1, 99): 'tau1', (2, 39): 't1', (2, 28): 'tau3^-1*t2', (2, 29): 't2^-1', (2, 30): 't2^-1', (2, 26): 't1', (2, 27): 'tau3^-1*t2', (2, 16): 't2', (2, 17): 't2', (1, 86): 'tau1^-1', (2, 14): 'tau3*t2^-1', (2, 15): 'tau3*t2^-1', (2, 4): 't3', (2, 3): 't3', (2, 103): 'tau1', (0, 91): 'tau1', (2, 90): 'tau1^-1', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3'}