U-tiling: UQC210
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc207 |
*22222 |
(2,4,2) |
{4,4} |
{4.8.8.4}{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
|
True
|
|
sqc522
|
xbe
|
I4/mmm |
139 |
tetragonal |
{3,4} |
6 |
(2,3) |
G
|
False
|
|
sqc5277
|
|
Fddd |
70 |
orthorhombic |
{4,4} |
12 |
(2,4) |
D
|
False
|
|
sqc31
|
|
Pmmm |
47 |
orthorhombic |
{4,4} |
3 |
(2,4) |
Topological data
Vertex degrees | {4,4} |
2D vertex symbol | {4.8.8.4}{8.8.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.3:96:25 3 10 11 18 31 9 24 37 15 22 23 43 21 27 34 35 42 33 48 39 46 47 45 67 51 64 65 78 61 57 70 71 84 63 90 69 96 91 75 88 89 85 81 94 95 87 93,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96,49 56 57 5 60 61 68 69 11 72 73 80 81 17 84 85 92 93 23 96 67 62 63 29 66 55 50 51 35 54 91 86 87 41 90 79 74 75 47 78 53 59 65 71 77 83 89 95:8 4 8 4 8 4 4 8,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 78): 'tau2^-1*t1*tau3', (0, 93): 't2*tau1*t3^-1', (2, 53): 't3', (0, 82): 't3*tau1^-1*t2^-1', (2, 25): 't2^-1', (0, 72): 'tau2*t1^-1*tau3^-1', (0, 53): 't3', (2, 56): 't3^-1', (2, 18): 'tau3', (2, 7): 't2', (2, 12): 'tau2^-1', (2, 49): 't3', (0, 65): 't2', (0, 57): 'tau1^-1', (2, 36): 'tau3^-1', (0, 88): 't2^-1*tau1^-1*t3', (2, 8): 't2', (0, 59): 't3^-1', (0, 36): 't1', (2, 59): 't3^-1', (2, 32): 't3^-1', (0, 63): 'tau1^-1', (0, 52): 'tau1', (0, 42): 't1', (0, 87): 't2^-1*tau1^-1*t3', (0, 95): 't2', (2, 11): 't2', (2, 42): 'tau2', (2, 62): 't2', (2, 29): 't2^-1', (2, 55): 't3^-1', (0, 58): 'tau1^-1', }