U-tiling: UQC5297
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1883 |
*222222 |
(5,5,2) |
{4,4,4,3,4} |
{9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.... |
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
|
|
sqc622
|
|
Pmmm |
47 |
orthorhombic |
{4,3,4,4,4} |
6 |
(5,5) |
G
|
False
|
|
sqc4431
|
|
C2/c |
15 |
monoclinic |
{4,4,4,3,4} |
12 |
(5,6) |
D
|
False
|
|
sqc4437
|
|
Imma |
74 |
orthorhombic |
{4,4,4,3,4} |
12 |
(5,5) |
Topological data
Vertex degrees | {4,4,4,3,4} |
2D vertex symbol | {9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.9}{9.4.9.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<99.1:88:12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 78 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88,2 4 6 8 20 54 33 13 15 17 19 76 44 24 26 28 30 42 87 35 37 39 41 65 46 48 50 52 75 88 57 59 61 63 86 77 68 70 72 74 79 81 83 85,23 46 47 59 60 50 51 10 11 34 68 69 81 82 72 73 21 22 79 80 70 71 83 84 32 33 57 58 48 49 61 62 43 44 78 54 55 67 65 66 76 77 87 88:9 4 4 9 9 9,4 4 4 3 4 4 4 4 3 3 3 4> {(2, 56): 't3^-1*tau2^-1', (2, 57): 't3^-1*tau2^-1', (2, 58): 't3^-1', (2, 59): 't3^-1', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 48): 't3', (0, 55): 'tau1^-1', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 45): 't3*tau2', (2, 46): 't3*tau2', (2, 47): 't3', (2, 15): 't2', (0, 44): 'tau1', (2, 33): 't1', (2, 24): 'tau3^-1*t2', (2, 25): 't2^-1', (2, 26): 't2^-1', (2, 22): 't1', (2, 23): 'tau3^-1*t2', (1, 85): 'tau1', (2, 12): 'tau3*t2^-1', (2, 13): 'tau3*t2^-1', (2, 14): 't2', (1, 74): 'tau1^-1'}