U-tiling: UQC5529
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2205 |
*222222 |
(5,7,2) |
{4,4,3,4,4} |
{5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8.... |
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
|
|
sqc5707
|
|
Cmma |
67 |
orthorhombic |
{4,4,3,4,4} |
14 |
(5,7) |
G
|
False
|
|
sqc5912
|
|
C2/c |
15 |
monoclinic |
{4,4,3,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc5914
|
|
Imma |
74 |
orthorhombic |
{4,4,3,4,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {4,4,3,4,4} |
2D vertex symbol | {5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8.8}{8.8.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<124.1:104:14 3 5 7 9 62 12 65 16 18 20 22 88 25 91 40 29 31 33 35 101 38 104 42 44 46 48 75 51 78 79 55 57 59 61 64 92 68 70 72 74 77 81 83 85 87 90 94 96 98 100 103,2 4 18 8 11 10 13 15 17 21 24 23 26 28 30 44 34 37 36 39 41 43 47 50 49 52 54 56 83 60 63 62 65 67 69 96 73 76 75 78 80 82 86 89 88 91 93 95 99 102 101 104,27 54 55 6 7 60 61 75 24 25 39 40 80 81 19 20 86 87 101 52 93 94 32 33 99 100 88 50 51 67 68 45 46 73 74 62 92 58 59 89 90 104 79 71 72 102 103 91 84 85 97 98:5 8 8 5 8 8 5 5,4 4 3 4 4 4 4 4 4 3 4 3 4 3> {(2, 60): 't3*tau2', (2, 61): 't3', (2, 62): 'tau1', (2, 63): 'tau1', (2, 59): 't3*tau2', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 53): 't3*tau2', (2, 54): 't3*tau2', (0, 52): 'tau1', (2, 46): 'tau2*t3', (2, 47): 'tau2*t3', (2, 40): 'tau2*t3', (2, 41): 'tau2*t3', (2, 39): 't1', (2, 33): 'tau3^-1*t2', (2, 34): 'tau3^-1*t2', (2, 35): 't2^-1', (2, 28): 'tau3^-1*t2', (2, 26): 't1', (2, 27): 'tau3^-1*t2', (2, 20): 'tau3*t2^-1', (2, 21): 'tau3*t2^-1', (2, 22): 't2', (1, 82): 'tau1^-1', (2, 14): 'tau3*t2^-1', (2, 15): 'tau3*t2^-1', (2, 9): 't3', (1, 69): 'tau1^-1', (2, 101): 'tau1', (2, 102): 'tau1', (0, 91): 'tau1', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3'}