U-tiling: UQC5517
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2202 |
*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
|
|
sqc1049
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,3} |
7 |
(5,7) |
G
|
False
|
|
sqc5917
|
|
C2/c |
15 |
monoclinic |
{4,4,3,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc5918
|
|
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
<121.3:104:53 3 5 7 34 10 12 39 79 16 18 20 47 23 25 52 92 29 31 33 36 38 66 42 44 46 49 51 55 57 59 99 62 64 104 68 70 72 86 75 77 91 81 83 85 88 90 94 96 98 101 103,2 4 57 8 9 11 13 15 17 83 21 22 24 26 28 30 96 34 35 37 39 41 43 70 47 48 50 52 54 56 60 61 63 65 67 69 73 74 76 78 80 82 86 87 89 91 93 95 99 100 102 104,66 54 55 6 7 60 61 62 37 38 26 92 80 81 19 20 86 87 88 50 51 79 93 94 32 33 99 100 101 52 53 67 68 45 46 73 74 75 58 59 102 103 91 71 72 89 90 104 84 85 97 98:5 8 5 8 5 5 8 8,4 4 3 4 4 4 4 3 4 4 3 4 3 4> {(2, 60): 't3*tau2', (2, 61): 't3*tau2', (2, 62): 't3*tau2*t1^-1*tau3^-1*t2', (2, 63): 't3*tau2*t1^-1*tau3^-1*t2', (2, 52): 't3', (2, 48): 'tau2*t3', (2, 49): 't1', (2, 50): 't1', (2, 47): 'tau2*t3', (2, 36): 't1', (2, 37): 't1', (0, 39): 'tau2*t3', (2, 34): 'tau3^-1*t2', (2, 35): 'tau3^-1*t2', (0, 26): 'tau3^-1*t2', (2, 26): 't2^-1', (2, 21): 'tau3*t2^-1', (2, 22): 'tau3*t2^-1', (1, 82): 't2*tau3^-1', (2, 13): 't2', (0, 13): 'tau3*t2^-1', (0, 0): 'tau2^-1*t3^-1', (2, 0): 't3', (1, 56): 't3*tau2', (1, 43): 'tau2*t3', (2, 103): 'tau1', (2, 88): 't2*tau3^-1*t1^-1*tau2*t3', (2, 90): 'tau1^-1', (1, 30): 'tau3^-1*t2', (2, 76): 't3^-1*tau2^-1*t1*tau3*t2^-1'}