U-tiling: UQC4845
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1776 |
*222222 |
(4,6,2) |
{4,3,4,4} |
{6.8.8.6}{6.8.8}{8.8.8.8}{8.8.8.8} |
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
|
False
|
|
sqc4669
|
|
Cmma |
67 |
orthorhombic |
{4,3,4,4} |
12 |
(4,6) |
|
G
|
False
|
|
sqc4687
|
|
C2/c |
15 |
monoclinic |
{4,3,4,4} |
12 |
(4,7) |
|
D
|
False
|
|
sqc4198
|
|
Imma |
74 |
orthorhombic |
{4,3,4,4} |
12 |
(4,6) |
Topological data
| Vertex degrees | {4,3,4,4} |
| 2D vertex symbol | {6.8.8.6}{6.8.8}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<86.3:88:45 3 5 7 30 10 33 67 14 16 18 41 21 44 78 25 27 29 32 56 36 38 40 43 47 49 51 85 54 88 58 60 62 74 65 77 69 71 73 76 80 82 84 87,2 25 6 9 8 11 13 36 17 20 19 22 24 28 31 30 33 35 39 42 41 44 46 80 50 53 52 55 57 69 61 64 63 66 68 72 75 74 77 79 83 86 85 88,56 4 5 61 62 52 31 32 22 78 15 16 83 84 74 42 43 67 26 27 72 73 85 44 45 37 38 50 51 63 48 49 86 87 77 59 60 75 76 88 70 71 81 82:6 8 6 8 8 8,4 3 4 4 4 3 4 4 4 3 4 3> {(2, 60): 't3^-1', (2, 61): 't3^-1', (2, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 44): 't3*tau2', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 22): 'tau3^-1*t2', (2, 54): 'tau1', (2, 55): 't3^-1', (2, 49): 't3', (2, 50): 't3', (2, 44): 't3', (2, 41): 't1', (2, 42): 't1', (0, 33): 'tau2*t3', (2, 28): 't2^-1', (2, 30): 't1', (2, 27): 't2^-1', (2, 53): 't3*tau2*t1^-1*tau3^-1*t2', (2, 22): 't2^-1', (2, 16): 't2', (2, 17): 't2', (0, 11): 'tau3*t2^-1', (2, 9): 't1^-1', (1, 79): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 11): 't2', (1, 68): 't2*tau3^-1*t1^-1*tau2*t3', (1, 24): 't1', (2, 87): 'tau1', (1, 13): 't1^-1', (2, 75): 't2*tau3^-1*t1^-1*tau2*t3'}