U-tiling: UQC1693
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1283 |
*222222 |
(2,5,4) |
{16,4} |
{4.4.3.3.3.3.4.4.4.4.3.3.3.3.4.4... |
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
|
|
sqc43
|
|
P4/mmm |
123 |
tetragonal |
{10,4} |
2 |
(2,3) |
G
|
False
|
|
sqc3101
|
|
C2/c |
15 |
monoclinic |
{16,4} |
4 |
(2,6) |
D
|
True
|
|
sqc1612
|
|
Imma |
74 |
orthorhombic |
{12,4} |
4 |
(2,5) |
Topological data
Vertex degrees | {16,4} |
2D vertex symbol | {4.4.3.3.3.3.4.4.4.4.3.3.3.3.4.4}{3.3.3.3} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<72.3:80:51 42 43 24 25 8 9 20 71 62 63 34 35 18 19 61 72 73 28 29 40 41 52 53 38 39 74 75 48 49 70 64 65 58 59 80 68 69 78 79,2 4 6 10 28 19 12 14 16 20 38 22 24 26 30 39 32 34 36 40 42 44 46 50 78 69 52 54 56 60 68 79 62 64 66 70 72 74 76 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 4 3 3 4 4 3 3 3 3 3 3,16 4 16 4> {(2, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 60): 't2', (0, 50): 't3^-1', (2, 29): 't1', (2, 20): 'tau3^-1*t2', (1, 78): 'tau1', (2, 50): 't3^-1*tau2^-1', (1, 68): 'tau1^-1', (0, 10): 't2', (2, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 39): 't1', (0, 40): 't3', (2, 40): 't3*tau2', (0, 59): 'tau1^-1', (0, 49): 'tau1', (2, 60): 't2*tau3^-1', }