U-tiling: UQC5521
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2203 |
*222222 |
(5,7,2) |
{4,3,4,4,4} |
{10.10.10.10}{10.3.10}{10.10.3.3... |
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
|
|
sqc1044
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc6074
|
|
C2/c |
15 |
monoclinic |
{4,3,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc6069
|
|
Imma |
74 |
orthorhombic |
{4,3,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,3,4,4,4} |
| 2D vertex symbol | {10.10.10.10}{10.3.10}{10.10.3.3}{10.10.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<122.2:104:27 3 5 7 73 10 12 39 40 16 18 20 99 23 25 52 29 31 33 86 36 38 42 44 46 60 49 51 92 55 57 59 62 64 104 79 68 70 72 75 77 91 81 83 85 88 90 94 96 98 101 103,2 4 9 71 8 11 13 15 17 22 97 21 24 26 28 30 35 84 34 37 39 41 43 48 58 47 50 52 54 56 61 60 63 65 67 69 74 73 76 78 80 82 87 86 89 91 93 95 100 99 102 104,53 67 68 6 7 60 61 62 37 38 26 79 93 94 19 20 86 87 88 50 51 92 80 81 32 33 99 100 101 52 66 54 55 45 46 73 74 75 58 59 102 103 91 71 72 89 90 104 84 85 97 98:10 3 10 3 3 3 10 10,4 3 4 4 4 4 3 4 4 3 4 3 4 4> {(0, 59): 't3', (2, 52): 't3*tau2', (2, 53): 't3', (2, 54): 't3', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 33): 't2^-1', (1, 96): 't2^-1', (2, 39): 'tau2*t3', (0, 38): 't1', (0, 39): 't1', (2, 28): 't2^-1', (0, 25): 't1^-1', (2, 26): 'tau3^-1*t2', (2, 27): 't2^-1', (1, 83): 't2', (0, 20): 't2', (2, 13): 'tau3*t2^-1', (2, 14): 't2', (2, 15): 't2', (0, 0): 't1^-1', (2, 1): 't3', (2, 2): 't3', (1, 70): 't3^-1', (1, 57): 't3', (2, 103): 'tau1', (0, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (2, 90): 'tau1^-1', (0, 72): 't3^-1', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3'}