U-tiling: UQC5507
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
|
|
sqc1041
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,3,4} |
7 |
(5,7) |
G
|
False
|
|
sqc5859
|
|
C2/c |
15 |
monoclinic |
{4,3,4,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc5865
|
|
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
<118.2:104:27 3 5 71 8 10 12 78 40 16 18 97 21 23 25 104 29 31 84 34 36 38 91 42 44 58 47 49 51 65 92 55 57 60 62 64 79 68 70 73 75 77 81 83 86 88 90 94 96 99 101 103,2 29 6 7 9 11 13 15 42 19 20 22 24 26 28 32 33 35 37 39 41 45 46 48 50 52 54 94 58 59 61 63 65 67 81 71 72 74 76 78 80 84 85 87 89 91 93 97 98 100 102 104,53 4 5 58 33 34 22 23 37 38 65 79 17 18 84 46 47 50 51 91 92 30 31 97 48 49 104 66 43 44 71 78 56 57 98 99 87 88 102 103 69 70 85 86 100 101 89 90 82 83 95 96:3 10 3 10 10 10 3 3,4 3 4 4 4 4 3 4 4 4 3 4 4 3> {(2, 60): 'tau1', (2, 61): 'tau1', (0, 57): 't3', (2, 57): 't3*tau2', (2, 58): 't3*tau2*t1^-1*tau3^-1*t2', (2, 59): 't3*tau2*t1^-1*tau3^-1*t2', (2, 52): 't3*tau2', (0, 51): 't3^-1', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 44): 'tau2*t3', (2, 45): 't1', (2, 46): 't1', (2, 39): 'tau2*t3', (0, 38): 't2^-1', (2, 33): 't1', (0, 26): 't1', (0, 25): 't2', (1, 93): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 31): 't2^-1', (2, 26): 'tau3^-1*t2', (0, 18): 't2', (1, 80): 't2*tau3^-1*t1^-1*tau2*t3', (2, 18): 'tau3*t2^-1', (2, 13): 'tau3*t2^-1', (0, 12): 't3', (0, 13): 't1^-1', (2, 6): 't1^-1', (0, 5): 't3', (2, 100): 'tau1', (2, 96): 't2^-1*tau3', (2, 99): 'tau1', (1, 2): 't1^-1', (2, 85): 't2*tau3^-1*t1^-1*tau2*t3', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3', (1, 15): 't1^-1', (2, 71): 't3^-1*tau2^-1*t1*tau3*t2^-1'}