U-tiling: UQC4794
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1766 |
*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
|
True
|
|
sqc3992
|
|
Pmmm |
47 |
orthorhombic |
{4,3,4,3} |
12 |
(4,6) |
G
|
False
|
|
sqc4465
|
|
I212121 |
24 |
orthorhombic |
{4,3,4,4} |
12 |
(4,7) |
D
|
False
|
|
sqc640
|
|
P222 |
16 |
orthorhombic |
{3,4,4,4} |
6 |
(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
<78.1:88:12 3 5 50 8 10 55 14 16 61 19 21 66 34 25 27 72 30 32 77 36 38 83 41 43 88 56 47 49 52 54 58 60 63 65 78 69 71 74 76 80 82 85 87,2 47 6 7 9 11 13 58 17 18 20 22 24 69 28 29 31 33 35 80 39 40 42 44 46 50 51 53 55 57 61 62 64 66 68 72 73 75 77 79 83 84 86 88,23 4 5 28 51 52 31 32 22 34 15 16 39 62 63 42 43 26 27 73 74 44 37 38 84 85 67 48 49 72 75 76 66 78 59 60 83 86 87 70 71 88 81 82:6 8 8 6 8 8,4 3 4 4 4 3 4 3 3 4 4 4> {(2, 60): 't1', (2, 61): 'tau3^-1', (2, 62): 'tau3^-1', (2, 63): 't2^-1*tau1^-1*t3*tau2', (0, 60): 't1', (2, 52): 't2^-1*tau1^-1', (2, 53): 't2^-1*tau1^-1', (2, 55): 't1', (0, 55): 'tau3^-1*t2', (2, 50): 't2^-1', (2, 51): 't2^-1', (2, 40): 't3*tau1^-1*t2^-1*tau3*t1', (2, 41): 'tau2^-1*t1', (2, 42): 'tau2^-1*t1', (2, 43): 'tau2^-1*t3^-1', (2, 39): 't3*tau1^-1*t2^-1*tau3*t1', (2, 28): 't3*tau1^-1', (2, 29): 't3*tau1^-1', (2, 30): 't3', (2, 31): 't3', (2, 21): 't1^-1', (0, 21): 't1^-1', (1, 79): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 68): 'tau1*t3^-1', (1, 46): 't2^-1', (2, 86): 'tau2^-1*t3^-1*tau1*t2', (2, 87): 'tau2^-1*t3^-1', (1, 13): 'tau3', (0, 77): 't1^-1*tau3^-1*t2'}