Surfaces of translation

Surfaces of translation#

See also: https://en.wikipedia.org/wiki/Translation_surface_(differential_geometry)

See also:http://www.3d-meier.de/tut3/Seite0.html

See also: https://en.wikipedia.org/wiki/Implicit_surface

Regular polygone as generator#

See also Wikipedia [1484], MathWorld [1160].

10a_Triangle_surface \(\quad\) 10a_Square_surface \(\quad\) 10a_Circle_surface

Left figure: Triangle surface

Middle figure: Square surface

Right figure: Circle surface

Hypocycloid as generator#

// see also: http://www.3d-meier.de/tut3/Seite152.html

See also Wikipedia [1484], MathWorld [1160].

10a_Hypocycloid_surface

Left figure: Hypocycloid surface

Archimedes spiral as generator#

// see http://www.3d-meier.de/tut3/Seite187.html // see Krivoshapko, p. 498

See also Wikipedia [1484], MathWorld [1160].

01a_ArchimedesSpiral_surface

Left figure: Archimedes spiral surface

Fermat spiral as generator#

// see http://www.3d-meier.de/tut3/Seite189.html

See also Wikipedia [1484], MathWorld [1160].

02a_FermatSpiral_surface

Left figure: Fermat spiral surface

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