U-tiling: UQC5846
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2056 |
*4444 |
(6,5,2) |
{4,4,3,4,8,4} |
{4.4.4.4}{4.8.8.4}{4.8.8}{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
|
False
|
|
sqc5037
|
|
P-4m2 |
115 |
tetragonal |
{4,4,3,4,8,4} |
12 |
(6,5) |
G
|
False
|
|
sqc4951
|
|
I-4 |
82 |
tetragonal |
{4,4,3,4,8,4} |
12 |
(6,6) |
D
|
False
|
|
sqc4952
|
|
I-4m2 |
119 |
tetragonal |
{4,4,3,4,8,4} |
12 |
(6,5) |
Topological data
Vertex degrees | {4,4,3,4,8,4} |
2D vertex symbol | {4.4.4.4}{4.8.8.4}{4.8.8}{8.8.8.8}{8.8.8.8.8.8.8.8}{8.8.8.8} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.1:96:2 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 96,13 3 16 7 9 80 11 84 15 19 21 92 23 96 49 27 52 31 33 44 35 48 61 39 64 43 45 47 51 55 57 68 59 72 63 67 69 71 85 75 88 79 81 83 87 91 93 95,25 26 5 6 31 32 21 22 35 36 37 38 17 18 43 44 47 48 29 30 57 58 41 42 69 70 73 74 53 54 79 80 83 84 85 86 65 66 91 92 95 96 77 78 93 94 89 90:4 8 8 4 8 4 8 4,4 4 3 4 8 4 4 3 3 4 4 3> {(2, 60): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 61): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 58): 't3', (2, 59): 't3', (2, 54): 'tau1', (2, 55): 'tau1', (2, 48): 'tau1', (2, 49): 'tau1', (2, 44): 't1*tau2^-1*t3^-1', (2, 45): 't1*tau2^-1*t3^-1', (2, 46): 't1', (2, 47): 't1', (2, 42): 'tau3^-1', (2, 43): 'tau3^-1', (2, 36): 'tau3^-1', (2, 37): 'tau3^-1', (2, 30): 't2^-1', (2, 31): 't2^-1', (2, 24): 't2^-1', (2, 25): 't2^-1', (1, 60): 't3*tau2*t1^-1', (1, 63): 't3*tau2*t1^-1', (1, 91): 't3^-1*tau2^-1*t1', (2, 94): 't3^-1*tau2^-1*t3^-1', (2, 95): 't3^-1*tau2^-1*t3^-1', (2, 90): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 91): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 23): 't1^-1*tau2*t3'}