U-tiling: UQC5542
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
|
|
sqc1031
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,3,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc6094
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,3} |
14 |
(5,8) |
|
D
|
False
|
|
sqc6098
|
|
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
<127.2:104:27 3 5 7 9 11 25 26 40 16 18 20 22 24 29 31 33 35 37 51 52 42 44 46 48 50 92 55 57 59 61 63 90 91 79 68 70 72 74 76 103 104 81 83 85 87 89 94 96 98 100 102,2 4 6 8 35 12 13 15 17 19 21 48 25 26 28 30 32 34 38 39 41 43 45 47 51 52 54 56 58 60 100 64 65 67 69 71 73 87 77 78 80 82 84 86 90 91 93 95 97 99 103 104,53 67 68 56 57 32 33 10 11 38 39 79 93 94 82 83 45 46 23 24 51 52 92 80 81 95 96 36 37 66 54 55 69 70 49 50 97 98 62 63 103 104 84 85 75 76 90 91 88 89 101 102:9 4 9 4 9 4 9 4,4 4 4 4 3 4 4 4 4 3 4 3 4 3> {(0, 63): 'tau1', (2, 52): 't3*tau2', (2, 53): 't3', (2, 54): 't3', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 51): 't1', (1, 99): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 39): 'tau2*t3', (0, 39): 't1', (2, 28): 't2^-1', (2, 26): 'tau3^-1*t2', (2, 27): 't2^-1', (1, 86): 't2*tau3^-1*t1^-1*tau2*t3', (2, 13): 'tau3*t2^-1', (2, 14): 't2', (2, 15): 't2', (0, 0): 't1^-1', (2, 1): 't3', (2, 2): 't3', (1, 47): 't1', (2, 38): 't1', (2, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 102): 'tau1', (0, 103): 'tau1', (0, 90): 'tau1^-1', (2, 90): 't2*tau3^-1*t1^-1*tau2*t3', (1, 8): 't1^-1', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3'}