U-tiling: UQC1754
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/hqc1309.jpg) |
hqc1309 |
*222222 |
(2,5,4) |
{7,6} |
{4.4.4.4.4.4.4}{4.4.4.4.4.4} |
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
|
|
sqc412
|
|
Pmmm |
47 |
orthorhombic |
{7,6} |
3 |
(2,5) |
G
|
False
|
|
sqc3484
|
|
C2/c |
15 |
monoclinic |
{6,7} |
6 |
(2,6) |
D
|
True
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
Topological data
Vertex degrees | {7,6} |
2D vertex symbol | {4.4.4.4.4.4.4}{4.4.4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s222222a_FSGG_63_2_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.2:80:41 4 5 46 47 58 59 50 61 14 15 66 67 78 79 70 71 24 25 76 77 68 69 80 51 34 35 56 57 48 49 60 44 45 54 55 64 65 74 75,2 13 6 25 8 10 12 16 35 18 20 22 33 26 28 30 32 36 38 40 42 63 46 75 48 50 52 73 56 65 58 60 62 66 68 70 72 76 78 80,21 3 5 7 9 30 31 13 15 17 19 40 23 25 27 29 33 35 37 39 71 43 45 47 49 80 61 53 55 57 59 70 63 65 67 69 73 75 77 79:4 4 4 4 4 4 4 4 4 4,6 7 7 6 7 7> {(2, 20): 't1', (0, 8): 't3', (0, 55): 't3^-1*tau2^-1', (0, 45): 't3*tau2', (0, 26): 'tau3^-1*t2', (0, 48): 't3', (0, 18): 't2', (1, 72): 'tau1', (0, 56): 't3^-1*tau2^-1', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (0, 27): 't2^-1', (0, 16): 'tau3*t2^-1', (0, 6): 'tau2^-1*t3^-1', (0, 60): 't2*tau3^-1', (0, 20): 'tau3^-1*t2', (0, 57): 't3^-1', (0, 47): 't3', (2, 30): 't1', (1, 62): 'tau1^-1', (0, 17): 't2', (0, 28): 't2^-1', (0, 50): 't3^-1*tau2^-1', (0, 40): 't3*tau2', (0, 25): 'tau3^-1*t2', (0, 15): 'tau3*t2^-1', (2, 60): 't2*tau3^-1*t1^-1*tau2*t3', }