U-tiling: UQC2343
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2001 |
*222222 |
(2,6,4) |
{3,12} |
{4.8.4}{4.4.4.4.8.8.4.4.4.4.8.8} |
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
|
|
sqc4784
|
|
Cmma |
67 |
orthorhombic |
{12,3} |
10 |
(2,6) |
|
G
|
False
|
|
sqc4789
|
|
C2/c |
15 |
monoclinic |
{12,3,3} |
10 |
(3,7) |
|
D
|
True
|
|
sqc3219
|
|
Imma |
74 |
orthorhombic |
{8,3} |
10 |
(2,5) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {4.8.4}{4.4.4.4.8.8.4.4.4.4.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:96:25 50 51 6 7 56 57 70 71 60 37 74 75 18 19 80 81 94 95 84 86 87 30 31 92 93 82 83 96 62 63 42 43 68 69 58 59 72 85 54 55 73 66 67 78 79 90 91,2 4 12 8 11 10 14 16 24 20 23 22 26 28 36 32 35 34 38 40 48 44 47 46 50 52 60 56 59 58 62 64 72 68 71 70 74 76 84 80 83 82 86 88 96 92 95 94,13 3 5 7 9 11 36 15 17 19 21 23 48 37 27 29 31 33 35 39 41 43 45 47 73 51 53 55 57 59 96 85 63 65 67 69 71 84 75 77 79 81 83 87 89 91 93 95:4 4 8 4 4 4 8 4 4 4,12 3 3 3 3 12 3 3 3 3> {(0, 62): 't3^-1*tau2^-1', (0, 55): 't3*tau2', (0, 22): 't2', (0, 26): 'tau3^-1*t2', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 19): 'tau3*t2^-1', (0, 9): 't3', (0, 13): 'tau3*t2^-1', (0, 56): 't3*tau2', (0, 46): 't3^-1', (0, 49): 't3*tau2', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 82): 't2', (0, 31): 'tau3^-1*t2', (0, 43): 'tau2*t3', (0, 20): 'tau3*t2^-1', (0, 10): 't3', (0, 32): 'tau3^-1*t2', (0, 57): 't3', (0, 24): 't1', (0, 14): 'tau3*t2^-1', (0, 36): 't1', (0, 61): 't3^-1*tau2^-1', (0, 50): 't3*tau2', (0, 21): 't2', (0, 33): 't2^-1', (2, 48): 'tau1', (0, 44): 'tau2*t3', (0, 25): 'tau3^-1*t2', (2, 60): 'tau1^-1', }