U-tiling: UQC5511
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2200 |
*222222 |
(5,7,2) |
{3,4,4,4,4} |
{10.3.10}{10.10.3.3}{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
|
|
sqc1036
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc5857
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc5864
|
|
Imma |
74 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {3,4,4,4,4} |
| 2D vertex symbol | {10.3.10}{10.10.3.3}{10.10.10.10}{10.10.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<119.1:104:14 3 5 32 8 10 12 26 16 18 45 21 23 25 40 29 31 34 36 38 52 42 44 47 49 51 79 55 57 97 60 62 64 91 92 68 70 84 73 75 77 104 81 83 86 88 90 94 96 99 101 103,2 7 30 6 9 11 13 15 20 43 19 22 24 26 28 33 32 35 37 39 41 46 45 48 50 52 54 59 95 58 61 63 65 67 72 82 71 74 76 78 80 85 84 87 89 91 93 98 97 100 102 104,27 4 5 58 59 60 74 75 63 64 39 40 17 18 84 85 86 100 101 89 90 52 30 31 97 98 99 87 88 102 103 43 44 71 72 73 61 62 76 77 92 56 57 104 79 69 70 91 82 83 95 96:10 3 3 10 10 3 10 3,3 4 4 4 4 3 4 4 4 4 4 4 3 3> {(2, 60): 't3', (2, 61): 't3', (0, 57): 't3*tau2*t1^-1*tau3^-1*t2', (2, 57): 't3*tau2', (2, 58): 't3*tau2', (2, 59): 't3*tau2', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 52): 'tau1', (2, 44): 'tau2*t3', (2, 45): 'tau2*t3', (2, 46): 'tau2*t3', (0, 44): 't1', (2, 39): 't1', (2, 32): 'tau3^-1*t2', (2, 33): 'tau3^-1*t2', (2, 34): 't2^-1', (2, 35): 't2^-1', (2, 31): 'tau3^-1*t2', (0, 31): 't1', (2, 26): 't1', (1, 94): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 20): 'tau3*t2^-1', (2, 21): 't2', (2, 22): 't2', (2, 18): 'tau3*t2^-1', (2, 19): 'tau3*t2^-1', (2, 8): 't3', (2, 9): 't3', (1, 68): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 42): 't1', (1, 3): 't1^-1', (0, 91): 'tau1', (0, 83): 't2*tau3^-1*t1^-1*tau2*t3', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 77): 'tau1^-1', (0, 64): 'tau1'}