U-tiling: UQC1699
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1284 |
*222222 |
(2,5,4) |
{8,4} |
{4.4.3.6.6.3.4.4}{3.6.3.6} |
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
|
True
|
|
sqc2707
|
|
Cmma |
67 |
orthorhombic |
{7,4} |
6 |
(2,5) |
|
G
|
False
|
|
sqc3371
|
|
C2/c |
15 |
monoclinic |
{8,4} |
6 |
(2,6) |
|
D
|
False
|
|
sqc391
|
|
P4/mmm |
123 |
tetragonal |
{8,4} |
3 |
(2,3) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.3.6.6.3.4.4}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<70.1:80:21 42 43 54 55 8 9 30 31 62 63 74 75 18 19 40 72 73 64 65 28 29 52 53 44 45 38 39 71 48 49 80 61 58 59 70 68 69 78 79,2 4 6 10 58 49 12 14 16 20 78 69 22 24 26 30 68 79 32 34 36 40 48 59 42 44 46 50 52 54 56 60 62 64 66 70 72 74 76 80,11 3 5 7 9 20 13 15 17 19 31 23 25 27 29 40 33 35 37 39 61 43 45 47 49 70 71 53 55 57 59 80 63 65 67 69 73 75 77 79:4 4 3 6 4 4 3 6 3 3,8 4 4 8 8 8> {(0, 51): 't3^-1*tau2^-1', (1, 57): 't3^-1', (0, 41): 't3*tau2', (1, 77): 't2^-1', (0, 62): 't2*tau3^-1', (2, 49): 'tau1', (0, 22): 'tau3^-1*t2', (0, 63): 't2', (0, 30): 't1', (2, 50): 'tau1^-1', (0, 42): 't3*tau2', (0, 13): 't2', (1, 67): 't2', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 53): 't3^-1', (0, 43): 't3', (0, 61): 't2*tau3^-1', (0, 20): 't1', (0, 32): 'tau2*t3', (0, 24): 't2^-1', (0, 14): 't2', (2, 59): 'tau1^-1', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (0, 21): 'tau3^-1*t2', (1, 47): 't3', (0, 54): 't3^-1', (0, 44): 't3', (2, 60): 'tau1^-1', }