U-tiling: UQC1789
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc127 |
2*222 |
(1,3,2) |
{10} |
{4.3.3.3.4.4.3.3.3.4} |
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
|
|
sqc23
|
|
P42/mmc |
131 |
tetragonal |
{6} |
2 |
(1,3) |
|
G
|
False
|
|
sqc3122
|
|
Ibca |
73 |
orthorhombic |
{10} |
4 |
(1,4) |
|
D
|
True
|
|
sqc1653
|
|
I41/amd |
141 |
tetragonal |
{8} |
4 |
(1,3) |
Topological data
| Vertex degrees | {10,10} |
| 2D vertex symbol | {4.3.3.3.4.4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<67.3:80:51 42 43 6 7 28 29 20 71 62 63 16 17 38 39 61 72 73 26 27 40 41 52 53 36 37 46 47 78 79 70 56 57 68 69 80 66 67 76 77,2 4 25 46 8 10 12 14 35 66 18 20 22 24 76 28 30 32 34 56 38 40 42 44 75 48 50 52 54 65 58 60 62 64 68 70 72 74 78 80,41 3 5 7 9 30 61 13 15 17 19 40 71 23 25 27 29 51 33 35 37 39 43 45 47 49 80 53 55 57 59 70 63 65 67 69 73 75 77 79:4 3 3 4 4 3 3 3 3 3 4 3,10 10 10 10> {(1, 34): 't1', (2, 20): 'tau3^-1*t2', (1, 64): 't2*tau3^-1*t1^-1*tau2*t3', (0, 59): 'tau1^-1', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 18): 't1^-1', (2, 50): 't3^-1*tau2^-1', (2, 40): 't3*tau2', (0, 27): 't1', (0, 49): 'tau1', (1, 24): 't1', (0, 60): 't2', (0, 10): 't2', (0, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 47): 't3*tau2*t1^-1*tau3^-1*t2', (0, 28): 't1', (0, 50): 't3^-1', (0, 40): 't3', (1, 74): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 37): 't1', (0, 58): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 60): 't2*tau3^-1', }