U-tiling: UQC5317
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc9 |
*246 |
(1,1,1) |
{4} |
{6.6.6.6} |
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
|
|
sqc823
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4} |
6 |
(5,7) |
|
G
|
False
|
|
sqc5257
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,4} |
12 |
(5,7) |
|
D
|
True
|
|
sqc4684
|
|
Imma |
74 |
orthorhombic |
{4,4,3,4,4} |
12 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<101.2:96:25 3 5 30 31 9 11 36 37 15 17 42 43 21 23 48 27 29 33 35 39 41 45 47 85 51 53 90 91 57 59 96 73 63 65 78 79 69 71 84 75 77 81 83 87 89 93 95,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96,49 62 63 52 53 7 56 57 34 35 24 73 86 87 76 77 19 80 81 46 47 85 74 75 88 89 31 92 93 48 61 50 51 64 65 43 68 69 55 94 95 84 67 82 83 96 79 91:6 6 6 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3^-1*tau2^-1', (0, 59): 't3*tau2*t1^-1*tau3^-1*t2', (2, 62): 't3^-1', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 59): 'tau1', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 54): 't3*tau2*t1^-1*tau3^-1*t2', (2, 49): 't3', (2, 50): 't3', (0, 53): 't3*tau2*t1^-1*tau3^-1*t2', (0, 42): 't1', (0, 41): 't1', (0, 47): 't1', (0, 35): 't1', (0, 36): 't1', (0, 24): 't1', (2, 24): 'tau3^-1*t2', (2, 25): 't2^-1', (2, 26): 't2^-1', (2, 12): 'tau3*t2^-1', (2, 13): 't2', (2, 14): 't2', (2, 61): 't3^-1', (2, 0): 'tau2^-1*t3^-1', (0, 5): 't1^-1', (0, 30): 't1', (2, 95): 'tau1', (0, 83): 't2*tau3^-1*t1^-1*tau2*t3', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 65): 't3^-1*tau2^-1*t1*tau3*t2^-1'}