U-tiling: UQC1753
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1309 |
*222222 |
(2,5,4) |
{7,6} |
{4.4.4.4.4.4.4}{4.4.4.4.4.4} |
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
|
|
sqc2241
|
|
P4/mmm |
123 |
tetragonal |
{5,6} |
6 |
(2,4) |
|
G
|
False
|
|
sqc3176
|
|
I212121 |
24 |
orthorhombic |
{6,7} |
6 |
(2,6) |
|
D
|
False
|
|
sqc411
|
|
P222 |
16 |
orthorhombic |
{6,7} |
3 |
(2,5) |
Topological data
| Vertex degrees | {7,6} |
| 2D vertex symbol | {4.4.4.4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.1:80:21 4 5 26 27 48 49 20 31 14 15 36 37 58 59 24 25 68 69 40 34 35 78 79 61 44 45 66 67 60 71 54 55 76 77 64 65 80 74 75,2 43 6 25 8 10 12 53 16 35 18 20 22 63 26 28 30 32 73 36 38 40 42 46 65 48 50 52 56 75 58 60 62 66 68 70 72 76 78 80,11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 51 43 45 47 49 70 53 55 57 59 80 71 63 65 67 69 73 75 77 79:4 4 4 4 4 4 4 4 4 4,6 7 7 6 7 7> {(0, 55): 't1', (1, 42): 't2^-1', (1, 64): 'tau1*t2', (0, 19): 't1^-1', (1, 14): 't1^-1*tau2', (2, 50): 'tau3^-1*t2', (1, 72): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 79): 'tau2^-1*t3^-1', (0, 56): 't1', (2, 29): 't3', (0, 39): 'tau2^-1*t3^-1', (1, 24): 't3', (0, 57): 't1', (1, 62): 'tau1*t3^-1', (2, 49): 't2^-1*tau1^-1', (2, 59): 't2^-1*tau1^-1*t3*tau2', (1, 12): 'tau3', (0, 50): 't1', (2, 39): 'tau2^-1*t1', (1, 74): 'tau2^-1*t3^-1*tau1*t2', (2, 60): 't2^-1*tau3*t1', (0, 58): 't1', }