U-tiling: UQC4028
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1129 |
*222222 |
(3,5,2) |
{4,8,3} |
{5.5.5.5}{5.8.8.5.5.8.8.5}{5.8.8} |
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
|
|
sqc2002
|
|
Pmmm |
47 |
orthorhombic |
{3,7,3} |
8 |
(3,5) |
|
G
|
False
|
|
sqc2819
|
|
I212121 |
24 |
orthorhombic |
{4,8,3} |
8 |
(3,6) |
|
D
|
False
|
|
sqc258
|
|
P222 |
16 |
orthorhombic |
{4,8,3} |
4 |
(3,5) |
Topological data
| Vertex degrees | {4,8,3} |
| 2D vertex symbol | {5.5.5.5}{5.8.8.5.5.8.8.5}{5.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<41.1:72:10 3 5 7 26 45 12 14 16 35 54 28 21 23 25 63 30 32 34 72 46 39 41 43 62 48 50 52 71 64 57 59 61 66 68 70,2 4 14 8 9 11 13 17 18 20 22 32 26 27 29 31 35 36 38 40 50 44 45 47 49 53 54 56 58 68 62 63 65 67 71 72,19 38 39 6 7 17 18 28 47 48 15 16 56 57 24 25 35 36 65 66 33 34 55 42 43 53 54 64 51 52 60 61 71 72 69 70:5 8 8 5 5 5,4 8 3 4 8 3 3 3> {(2, 61): 't3*tau2', (2, 62): 't2^-1*tau3*t1', (2, 63): 't1^-1', (0, 62): 'tau1*t3^-1', (0, 63): 't1^-1*tau3^-1*t2', (0, 61): 'tau1*t2', (1, 49): 'tau3^-1*t2', (2, 53): 'tau3^-1*t2', (2, 16): 't1^-1', (0, 52): 't2^-1*tau1^-1*t3*tau2', (0, 53): 'tau3^-1', (0, 25): 't3', (2, 46): 't1', (2, 47): 't1', (0, 44): 't2^-1', (0, 45): 'tau3^-1*t2', (0, 34): 'tau2^-1*t1', (0, 35): 't3*tau1^-1*t2^-1*tau3*t1', (1, 67): 't1^-1*tau3^-1*t2', (2, 34): 'tau2^-1*t3^-1'}