U-tiling: UQC2556
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1927 |
*222222 |
(2,6,5) |
{14,5} |
{4.4.3.3.3.4.4.4.4.3.3.3.4.4}{3.... |
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
|
True
|
|
sqc222
|
|
Pmmm |
47 |
orthorhombic |
{8,5} |
3 |
(2,5) |
|
G
|
False
|
|
sqc4752
|
|
C2/c |
15 |
monoclinic |
{5,14} |
6 |
(2,7) |
|
D
|
True
|
|
sqc3124
|
|
Imma |
74 |
orthorhombic |
{5,10} |
6 |
(2,6) |
Topological data
| Vertex degrees | {14,5} |
| 2D vertex symbol | {4.4.3.3.3.4.4.4.4.3.3.3.4.4}{3.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<113.3:96:61 50 51 6 7 56 57 34 35 24 85 74 75 18 19 80 81 46 47 73 86 87 30 31 92 93 48 49 62 63 42 43 68 69 54 55 94 95 84 66 67 82 83 96 78 79 90 91,2 4 53 54 8 10 12 14 16 77 78 20 22 24 26 28 89 90 32 34 36 38 40 65 66 44 46 48 50 52 56 58 60 62 64 68 70 72 74 76 80 82 84 86 88 92 94 96,49 3 5 7 9 11 36 73 15 17 19 21 23 48 85 27 29 31 33 35 61 39 41 43 45 47 51 53 55 57 59 96 63 65 67 69 71 84 75 77 79 81 83 87 89 91 93 95:4 3 3 4 4 4 3 3 4 3 3 3 3 4,5 14 5 14 5 5> {(1, 88): 't2^-1*tau3', (0, 95): 'tau1', (0, 34): 't1', (0, 55): 't3*tau2', (0, 45): 't1', (0, 12): 't2', (2, 36): 'tau2*t3', (1, 64): 't3^-1*tau2^-1', (0, 59): 'tau1', (0, 81): 't2*tau3^-1*t1^-1*tau2*t3', (0, 48): 't3', (0, 19): 'tau3*t2^-1', (1, 76): 't2*tau3^-1', (2, 24): 'tau3^-1*t2', (0, 56): 't3*tau2', (0, 46): 't1', (0, 60): 't3^-1', (0, 82): 't2*tau3^-1*t1^-1*tau2*t3', (0, 31): 'tau3^-1*t2', (0, 43): 'tau2*t3', (0, 20): 'tau3*t2^-1', (2, 12): 'tau3*t2^-1', (0, 32): 'tau3^-1*t2', (0, 57): 't3*tau2*t1^-1*tau3^-1*t2', (0, 24): 't2^-1', (0, 33): 't1', (2, 48): 't3*tau2', (0, 44): 'tau2*t3', (1, 52): 't3*tau2', (0, 58): 't3*tau2*t1^-1*tau3^-1*t2', }