U-tiling: UQC4587
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc177 |
2*222 |
(2,3,1) |
{4,6} |
{5.5.5.5}{5.5.5.5.5.5} |
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
|
|
sqc141
|
|
P42/mmc |
131 |
tetragonal |
{4,4} |
4 |
(2,3) |
G
|
False
|
|
sqc3306
|
|
Ibca |
73 |
orthorhombic |
{4,6} |
8 |
(2,4) |
D
|
False
|
|
sqc3392
|
|
I41/amd |
141 |
tetragonal |
{4,6} |
8 |
(2,3) |
Topological data
Vertex degrees | {4,6,6,4} |
2D vertex symbol | {5.5.5.5}{5.5.5.5.5.5}{5.5.5.5.5.5}{5.5.5.5} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.3:80:41 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 79,2 4 45 26 8 10 12 14 65 36 18 20 22 24 75 28 30 32 34 55 38 40 42 44 76 48 50 52 54 66 58 60 62 64 68 70 72 74 78 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 77:5 5 5 5 5 5 5 5,4 6 6 4 4 6 6 4> {(2, 60): 't2', (2, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 58): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 59): 'tau1^-1', (0, 50): 't3^-1*tau2^-1', (2, 48): 't3*tau2*t1^-1*tau3^-1*t2', (2, 49): 'tau1', (2, 50): 't3^-1', (0, 40): 't3*tau2', (2, 47): 't3*tau2*t1^-1*tau3^-1*t2', (2, 40): 't3', (0, 20): 'tau3^-1*t2', (2, 37): 't1', (2, 28): 't1', (0, 60): 't2*tau3^-1', (2, 27): 't1', (2, 18): 't1^-1', (1, 74): 't2^-1*tau3', (2, 10): 't2', (1, 64): 't2*tau3^-1', (1, 54): 't3^-1*tau2^-1', (1, 44): 't3*tau2'}