U-tiling: UQC3958
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1116 |
*222222 |
(3,5,2) |
{3,8,4} |
{6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} |
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
|
|
sqc1995
|
|
Pmmm |
47 |
orthorhombic |
{3,7,3} |
8 |
(3,5) |
G
|
False
|
|
sqc2820
|
|
I212121 |
24 |
orthorhombic |
{3,8,4} |
8 |
(3,6) |
D
|
False
|
|
sqc261
|
|
P222 |
16 |
orthorhombic |
{4,3,8} |
4 |
(3,5) |
Topological data
Vertex degrees | {3,8,4} |
2D vertex symbol | {6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.1:72:10 3 5 42 8 18 12 14 51 17 28 21 23 60 26 36 30 32 69 35 46 39 41 44 54 48 50 53 64 57 59 62 72 66 68 71,2 7 22 6 9 11 16 31 15 18 20 25 24 27 29 34 33 36 38 43 58 42 45 47 52 67 51 54 56 61 60 63 65 70 69 72,19 4 5 15 25 26 45 28 13 14 34 35 54 22 23 33 63 31 32 72 55 40 41 51 61 62 64 49 50 70 71 58 59 69 67 68:6 6 6 6 6 6,3 8 4 3 4 3 8 3> {(2, 60): 'tau1*t2', (2, 61): 'tau1*t2', (2, 62): 'tau1*t3^-1', (2, 63): 't1^-1', (0, 62): 't2^-1*tau3*t1', (0, 63): 't1^-1*tau3^-1*t2', (2, 59): 't3*tau2', (0, 50): 't1', (2, 53): 'tau3^-1', (2, 51): 't2^-1*tau1^-1*t3*tau2', (2, 44): 't2^-1', (0, 44): 't2^-1*tau3', (0, 45): 'tau3^-1*t2', (2, 32): 'tau2^-1*t3^-1', (2, 33): 'tau2^-1*t1', (2, 35): 't3*tau1^-1*t2^-1*tau3*t1', (2, 24): 't3', (2, 25): 't3', (2, 16): 't1^-1*tau2', (2, 52): 't2^-1*tau1^-1*t3*tau2', (2, 14): 't1^-1', (1, 48): 't1'}