U-tiling: UQC4142
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/hqc1446.jpg) |
hqc1446 |
*222222 |
(3,6,2) |
{4,4,4} |
{12.4.4.12}{12.12.4.4}{12.12.12.12} |
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
|
|
sqc470
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4} |
5 |
(3,6) |
G
|
False
|
|
sqc3682
|
|
C2/c |
15 |
monoclinic |
{4,4,4} |
10 |
(3,7) |
D
|
False
|
|
sqc3683
|
|
Imma |
74 |
orthorhombic |
{4,4,4} |
10 |
(3,6) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {12.4.4.12}{12.12.4.4}{12.12.12.12} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_54_2_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.2:80:21 3 5 56 57 9 20 31 13 15 76 77 19 23 25 66 67 29 40 33 35 46 47 39 71 43 45 49 70 61 53 55 59 80 63 65 69 73 75 79,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80,41 4 5 46 47 48 49 30 61 14 15 66 67 68 69 40 71 24 25 76 77 78 79 51 34 35 56 57 58 59 44 45 80 54 55 70 64 65 74 75:12 4 4 4 4 12,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2*tau3^-1', (0, 59): 'tau1^-1', (0, 56): 't3^-1', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (2, 55): 't3^-1*tau2^-1', (0, 55): 't3^-1', (2, 50): 't3^-1*tau2^-1', (2, 45): 't3*tau2', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (0, 46): 't3', (0, 45): 't3', (0, 26): 't2^-1', (0, 25): 't2^-1', (0, 30): 't1', (2, 25): 'tau3^-1*t2', (2, 20): 'tau3^-1*t2', (0, 16): 't2', (0, 20): 't1', (2, 15): 'tau3*t2^-1', (0, 15): 't2', (2, 0): 'tau2^-1*t3^-1', (0, 49): 'tau1'}