U-tiling: UQC5916
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2365 |
*4444 |
(6,6,2) |
{4,8,4,4,8,4} |
{8.8.8.8}{8.8.8.8.8.8.8.8}{8.3.3... |
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
|
|
sqc6432
|
|
P-4m2 |
115 |
tetragonal |
{4,8,4,4,8,4} |
12 |
(6,6) |
G
|
False
|
|
sqc6380
|
|
I-4 |
82 |
tetragonal |
{4,8,4,4,8,4} |
12 |
(6,7) |
D
|
False
|
|
sqc6377
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,4,8,4} |
12 |
(6,6) |
Topological data
Vertex degrees | {4,8,4,4,8,4} |
2D vertex symbol | {8.8.8.8}{8.8.8.8.8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.3.3.3.3.3.3}{8.8.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.1:112:2 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 98 100 102 104 106 108 110 112,15 3 5 13 9 12 11 28 17 19 27 23 26 25 57 31 33 41 37 40 39 70 71 45 47 55 51 54 53 84 59 61 69 65 68 67 73 75 83 79 82 81 99 87 89 97 93 96 95 112 101 103 111 107 110 109,29 30 87 88 7 8 93 94 39 40 41 42 43 44 101 102 21 22 107 108 53 54 55 56 45 46 35 36 51 52 49 50 85 86 73 74 63 64 79 80 95 96 97 98 99 100 77 78 109 110 111 112 91 92 105 106:8 3 3 8 3 8 3 3 3 8 3 3,4 8 4 4 8 4 4 4 4 4 4 4> {(2, 56): 'tau1', (2, 57): 'tau1', (2, 52): 't1', (2, 53): 't1', (2, 54): 't1', (2, 55): 't1', (2, 42): 'tau3^-1', (2, 43): 'tau3^-1', (2, 28): 't2^-1', (2, 29): 't2^-1', (2, 22): 't1^-1*tau2*t3', (2, 23): 't1^-1*tau2*t3', (2, 16): 't1^-1*tau2*t3', (2, 17): 't1^-1*tau2*t3', (1, 70): 't3*tau2*t1^-1', (1, 55): 't1*tau2^-1*t3^-1', (2, 108): 't3^-1*tau2^-1*t3^-1', (2, 109): 't3^-1*tau2^-1*t3^-1', (2, 110): 't3^-1*tau2^-1*t3^-1', (2, 96): 't3^-1', (2, 97): 't3^-1', (2, 98): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 99): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 94): 't3^-1', (2, 95): 't3^-1', (2, 83): 't3*tau2*t3'}