U-tiling: UQC140
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc140 |
*2244 |
(2,3,2) |
{3,4} |
{4.16.16}{16.16.16.16} |
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
|
|
sqc476
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
6 |
(2,3) |
G
|
False
|
|
sqc3278
|
|
I41/a |
88 |
tetragonal |
{4,3} |
12 |
(2,3) |
D
|
False
|
|
sqc3280
|
|
I41/amd |
141 |
tetragonal |
{4,3} |
12 |
(2,3) |
Topological data
Vertex degrees | {3,4} |
2D vertex symbol | {4.16.16}{16.16.16.16} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:80:31 3 14 15 36 8 19 20 41 13 51 18 56 23 69 70 46 28 79 80 33 49 50 38 59 60 43 64 65 48 53 74 75 58 76 63 71 68 73 78,2 4 35 7 9 40 12 14 45 17 19 55 22 24 60 27 29 50 32 34 37 39 42 44 47 49 52 54 57 59 62 64 80 67 69 75 72 74 77 79,6 32 33 5 37 38 10 21 42 43 15 26 52 53 20 57 58 25 47 48 30 36 35 40 56 45 51 50 55 60 71 77 78 65 76 72 73 70 75 80:16 4 16 4,4 3 3 4 3 4 3 3 3 4 3 3> {(0, 70): 't2*tau3^-1*t1^-1*tau2*t3', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (2, 20): 't3^-1', (2, 25): 't2^-1', (0, 55): 'tau2*t3', (0, 45): 'tau3^-1*t2', (0, 50): 't2*tau3^-1', (0, 40): 't3*tau2', (0, 30): 't1', (2, 50): 't2', (2, 75): 'tau1', (0, 35): 't1', (2, 55): 't3^-1', (2, 60): 'tau1', }