Celestials of Moebius degree 4
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The images were made using Sage and
Surfex.
See [2]
for the definition of Euclidean type.
The isolated singularities of celestials are denoted by their
Dynkin type
.
Blum cyclide, no isolated singularities, 6 families
Euclidean type (3,1) 








Euclidean type (4,2) 








sphere cyclide, no isolated singularities, 2 families
Euclidean type (3,1) 



Euclidean type (4,2) 



cyclide with two components, no isolated singularities, 2 families
Euclidean type (3,1) 



Euclidean type (4,2) 



Perseus cyclide, singularities: 2A_1, 5 families
Euclidean type (3,1) 






Euclidean type (4,2) 






Ring torus, singularities: 4A_1, 4 families
Euclidean type (3,1) 






Euclidean type (4,2) 






Multiple circular surface with real singularities
 E = elliptic/ellipsoid
 C = circular
 H = hyperbolic/hyperboloid
 1 = of one sheet
 2 = of two sheets
 O = cone
 Y = cylinder
 P = parabolic/paraboloid