U-tiling: UQC1740
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1306 |
*4444 |
(2,4,4) |
{4,8} |
{8.12.3.8}{3.12.3.12.3.12.3.12} |
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
|
|
sqc3598
|
|
P-4m2 |
115 |
tetragonal |
{8,4} |
9 |
(2,4) |
|
G
|
False
|
|
sqc3599
|
|
I-4 |
82 |
tetragonal |
{8,4,4} |
9 |
(3,5) |
|
D
|
False
|
|
sqc3779
|
|
I-4m2 |
119 |
tetragonal |
{8,4} |
9 |
(2,4) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {8.12.3.8}{3.12.3.12.3.12.3.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.2:80:3 4 25 26 17 18 29 30 13 14 35 36 39 40 23 24 47 48 33 34 57 58 43 44 65 66 69 70 53 54 75 76 79 80 63 64 77 78 73 74,21 62 5 10 7 9 31 72 15 20 17 19 32 25 30 27 29 35 40 37 39 61 52 45 50 47 49 71 55 60 57 59 65 70 67 69 75 80 77 79,2 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 80:3 12 8 8 3 3 3,8 4 4 4 4 4 4 4 4> {(0, 39): 'tau3^-1', (0, 48): 'tau1', (0, 29): 't2^-1', (1, 60): 't3^-1', (0, 28): 't2^-1', (0, 59): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 35): 't1', (0, 55): 't3*tau2*t3', (0, 45): 't3', (0, 54): 't3*tau2*t3', (1, 70): 't3^-1*tau2^-1*t3^-1', (0, 44): 't3', (0, 57): 't3*tau2*t1^-1', (0, 34): 't1', (0, 38): 'tau3^-1', (0, 56): 't3*tau2*t1^-1', (1, 11): 't1^-1*tau2*t3', (1, 30): 't1', (0, 49): 'tau1', (0, 58): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', }