U-tiling: UQC1607
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1266 |
*222222 |
(2,6,4) |
{6,4} |
{4.4.8.8.4.4}{8.4.4.8} |
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
|
|
sqc378
|
|
Pmmm |
47 |
orthorhombic |
{6,4} |
4 |
(2,6) |
|
G
|
False
|
|
sqc3187
|
|
C2/c |
15 |
monoclinic |
{4,6} |
8 |
(2,6) |
|
D
|
True
|
|
sqc2484
|
|
Imma |
74 |
orthorhombic |
{4,5} |
8 |
(2,6) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.8.8.4.4}{8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<48.2:80:41 52 53 5 46 47 28 29 20 61 72 73 15 66 67 38 39 71 62 63 25 76 77 40 51 42 43 35 56 57 45 78 79 70 55 68 69 80 65 75,2 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 80,21 3 24 25 7 9 30 31 13 34 35 17 19 40 23 27 29 33 37 39 71 43 74 75 47 49 80 61 53 64 65 57 59 70 63 67 69 73 77 79:4 8 4 4 4 8 4 4,4 6 4 6 4 6 4 6> {(0, 41): 't3', (2, 20): 't1', (0, 62): 't2', (0, 1): 't3', (2, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 43): 't3*tau2*t1^-1*tau3^-1*t2', (0, 12): 't2', (0, 42): 't3', (0, 59): 'tau1^-1', (2, 54): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 52): 't3^-1', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 4): 't1^-1', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 29): 't1', (0, 49): 'tau1', (2, 33): 't1', (0, 60): 't2*tau3^-1', (0, 20): 'tau3^-1*t2', (2, 63): 't2*tau3^-1*t1^-1*tau2*t3', (2, 30): 't1', (2, 34): 't1', (2, 23): 't1', (2, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 50): 't3^-1*tau2^-1', (0, 40): 't3*tau2', (0, 21): 't2^-1', (0, 11): 't2', (2, 39): 't1', (2, 60): 't2*tau3^-1*t1^-1*tau2*t3', }