U-tiling: UQC3801
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc834 |
*222222 |
(3,4,2) |
{4,6,3} |
{12.12.12.12}{12.4.12.12.4.12}{1... |
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
|
|
sqc180
|
|
Pmmm |
47 |
orthorhombic |
{6,4,3} |
4 |
(3,4) |
G
|
False
|
|
sqc2140
|
|
C2/c |
15 |
monoclinic |
{4,6,3} |
8 |
(3,5) |
D
|
False
|
|
sqc1899
|
|
Imma |
74 |
orthorhombic |
{4,6,3} |
8 |
(3,4) |
Topological data
Vertex degrees | {4,6,3} |
2D vertex symbol | {12.12.12.12}{12.4.12.12.4.12}{12.12.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.2:64:17 3 5 7 16 25 11 13 15 19 21 23 32 27 29 31 57 35 37 39 56 49 43 45 47 64 51 53 55 59 61 63,2 4 8 38 23 10 12 16 54 31 18 20 24 62 26 28 32 46 34 36 40 63 42 44 48 55 50 52 56 58 60 64,33 42 43 6 7 24 49 58 59 14 15 32 57 50 51 22 23 41 34 35 30 31 38 39 64 46 47 56 54 55 62 63:12 4 4 12,4 6 3 4 6 3 3 3> {(0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 56): 't2^-1*tau3', (2, 57): 't2^-1', (2, 58): 't2^-1', (0, 48): 't2*tau3^-1*t1^-1*tau2*t3', (2, 48): 't2*tau3^-1', (0, 55): 'tau1^-1', (2, 50): 't2', (2, 17): 't2^-1', (2, 25): 't3^-1', (0, 24): 't1', (2, 40): 't3^-1*tau2^-1', (2, 41): 't3^-1', (2, 42): 't3^-1', (2, 32): 't3*tau2', (0, 16): 't1', (2, 34): 't3', (0, 63): 'tau1'}