U-tiling: UQC5863
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2331 |
*222222 |
(6,7,2) |
{4,3,3,4,4,4} |
{5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}... |
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
|
|
sqc1218
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,3,3,4} |
8 |
(6,7) |
G
|
False
|
|
sqc6600
|
|
C2/c |
15 |
monoclinic |
{4,3,3,4,4,4} |
16 |
(6,8) |
D
|
False
|
|
sqc6602
|
|
Imma |
74 |
orthorhombic |
{4,3,3,4,4,4} |
16 |
(6,7) |
Topological data
Vertex degrees | {4,3,3,4,4,4} |
2D vertex symbol | {5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<129.2:112:29 3 5 7 9 11 13 84 43 17 19 21 23 25 27 112 31 33 35 37 39 41 98 45 47 49 51 53 55 70 99 59 61 63 65 67 69 85 73 75 77 79 81 83 87 89 91 93 95 97 101 103 105 107 109 111,2 4 33 76 8 10 12 14 16 18 47 104 22 24 26 28 30 32 90 36 38 40 42 44 46 62 50 52 54 56 58 60 103 64 66 68 70 72 74 89 78 80 82 84 86 88 92 94 96 98 100 102 106 108 110 112,57 72 73 6 7 36 37 24 25 40 41 70 85 100 101 20 21 50 51 54 55 98 99 86 87 34 35 52 53 112 71 58 59 48 49 84 62 63 106 107 94 95 110 111 76 77 92 93 108 109 96 97 90 91 104 105:5 9 5 9 9 9 5 5,4 3 3 4 4 4 4 3 3 4 3 3 3 4 4 3> {(0, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 63): 't3*tau2*t1^-1*tau3^-1*t2', (2, 56): 't3*tau2', (2, 57): 't3', (2, 58): 't3', (1, 46): 't1', (0, 55): 't3^-1', (2, 50): 't1', (1, 33): 't2^-1', (0, 41): 't2^-1', (2, 15): 't2', (2, 42): 'tau2*t3', (2, 36): 't1', (1, 103): 't2^-1', (1, 102): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 28): 'tau3^-1*t2', (0, 27): 't2', (2, 30): 't2^-1', (0, 28): 't1', (2, 21): 't1^-1', (2, 14): 'tau3*t2^-1', (1, 75): 't3^-1', (1, 74): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 14): 't1^-1', (0, 13): 't3', (2, 35): 't1', (2, 1): 't3', (2, 2): 't3', (1, 61): 't3', (2, 29): 't2^-1', (2, 108): 'tau1', (2, 107): 'tau1', (2, 100): 't2^-1', (2, 92): 't2*tau3^-1*t1^-1*tau2*t3', (2, 93): 'tau1^-1', (2, 94): 'tau1^-1', (2, 91): 't2*tau3^-1*t1^-1*tau2*t3', (0, 84): 't2*tau3^-1*t1^-1*tau2*t3', (2, 64): 't3*tau2*t1^-1*tau3^-1*t2', (1, 4): 't1^-1'}