U-tiling: UQC4789
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc1765.jpg) |
hqc1765 |
*222222 |
(4,6,2) |
{4,3,4,4} |
{3.16.16.3}{3.16.16}{16.16.16.16... |
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
|
|
sqc639
|
|
Pmmm |
47 |
orthorhombic |
{4,3,4,4} |
6 |
(4,6) |
G
|
False
|
|
sqc4632
|
|
C2/c |
15 |
monoclinic |
{4,3,4,4} |
12 |
(4,7) |
D
|
False
|
|
sqc4628
|
|
Imma |
74 |
orthorhombic |
{4,3,4,4} |
12 |
(4,6) |
Topological data
Vertex degrees | {4,3,4,4} |
2D vertex symbol | {3.16.16.3}{3.16.16}{16.16.16.16}{16.16.16.16} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_77_3_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<77.3:88:45 3 5 50 8 10 33 67 14 16 72 19 21 44 78 25 27 83 30 32 56 36 38 61 41 43 47 49 52 54 88 58 60 63 65 77 69 71 74 76 80 82 85 87,2 47 6 7 9 11 13 69 17 18 20 22 24 80 28 29 31 33 35 58 39 40 42 44 46 50 51 53 55 57 61 62 64 66 68 72 73 75 77 79 83 84 86 88,56 4 5 61 51 52 31 32 22 78 15 16 83 73 74 42 43 67 26 27 72 84 85 44 45 37 38 50 62 63 48 49 86 87 77 59 60 75 76 88 70 71 81 82:3 16 3 16 3 3,4 3 4 4 4 3 4 4 3 4 3 4> {(2, 60): 't3^-1', (2, 61): 't3^-1*tau2^-1', (2, 62): 't3^-1*tau2^-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*tau2', (2, 51): 't3*tau2', (2, 44): 't3', (2, 41): 't1', (2, 42): 't1', (0, 33): 'tau2*t3', (2, 28): 'tau3^-1*t2', (2, 29): 'tau3^-1*t2', (2, 30): 't1', (2, 27): 't2^-1', (2, 22): 't2^-1', (2, 16): 't2', (2, 17): 'tau3*t2^-1', (2, 18): 'tau3*t2^-1', (0, 11): 'tau3*t2^-1', (2, 9): 't1^-1', (1, 79): 't2^-1*tau3', (2, 53): 't3*tau2*t1^-1*tau3^-1*t2', (1, 68): 't2*tau3^-1', (1, 57): 't3^-1*tau2^-1', (2, 11): 't2', (1, 46): 't3*tau2', (2, 87): 'tau1', (2, 75): 't2*tau3^-1*t1^-1*tau2*t3'}