U-tiling: UQC5531
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
|
|
sqc6103
|
|
Cmma |
67 |
orthorhombic |
{4,4,3,4,4} |
14 |
(5,7) |
G
|
False
|
|
sqc6096
|
|
C2/c |
15 |
monoclinic |
{4,4,3,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc1082
|
|
Cmmm |
65 |
orthorhombic |
{3,4,4,4} |
7 |
(4,5) |
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
<124.2:104:27 3 5 7 9 36 12 39 40 16 18 20 22 49 25 52 29 31 33 35 38 42 44 46 48 51 92 55 57 59 61 101 64 104 79 68 70 72 74 88 77 91 81 83 85 87 90 94 96 98 100 103,2 4 31 8 11 10 13 15 17 44 21 24 23 26 28 30 34 37 36 39 41 43 47 50 49 52 54 56 96 60 63 62 65 67 69 83 73 76 75 78 80 82 86 89 88 91 93 95 99 102 101 104,53 67 68 6 7 73 74 62 37 38 26 79 93 94 19 20 99 100 88 50 51 92 80 81 32 33 86 87 101 52 66 54 55 45 46 60 61 75 58 59 102 103 91 71 72 89 90 104 84 85 97 98:5 8 5 8 5 8 5 8,4 4 3 4 4 4 4 3 4 4 4 3 4 3> {(2, 60): 't3', (2, 62): 't3*tau2*t1^-1*tau3^-1*t2', (2, 63): 't3*tau2*t1^-1*tau3^-1*t2', (2, 59): 't3', (2, 52): 't3*tau2', (2, 53): 't3', (2, 54): 't3', (2, 49): 't1', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 36): 't1', (2, 37): 't1', (2, 39): 'tau2*t3', (0, 39): 't1', (2, 34): 't2^-1', (2, 28): 't2^-1', (2, 24): 't1^-1', (2, 26): 'tau3^-1*t2', (2, 27): 't2^-1', (2, 20): 't2', (2, 21): 't2', (2, 33): 't2^-1', (2, 13): 'tau3*t2^-1', (2, 14): 't2', (2, 15): 't2', (2, 8): 't3', (0, 0): 't1^-1', (2, 7): 't3', (1, 69): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 1): 't3', (2, 2): 't3', (1, 56): 't3*tau2*t1^-1*tau3^-1*t2', (1, 43): 't1', (2, 103): 'tau1', (2, 88): 't2*tau3^-1*t1^-1*tau2*t3', (2, 89): 't2*tau3^-1*t1^-1*tau2*t3', (2, 90): 'tau1^-1', (1, 30): 't1', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3'}