Surface Plotter December 28, 2025
Explore 3D parametric surfaces defined by ( x , y , z ) = ( f x ( u , v ) , f y ( u , v ) , f z ( u , v ) ) (x, y, z) = (f_x(u,v), f_y(u,v), f_z(u,v)) ( x , y , z ) = ( f x ( u , v ) , f y ( u , v ) , f z ( u , v )) . Includes examples like the Möbius band, torus, sphere, and Klein bottle.
Möbius band Torus Sphere Klein bottle Seashell Wave plane Helicoid Catenoid Enneper Dini Breather Boy's surface Trefoil knot Umbilic torus Cross-cap Kuen Roman surface Figure-8 Klein Sine surface Astroidal sphere Whitney umbrella Monkey saddle Bohemian dome ⊞ all surfaces Möbius band ( x , y , z ) = ( cos u + v cos u 2 cos u , sin u + v cos u 2 sin u , v sin u 2 ) (x,y,z) = \bigl(\cos u + v\cos\tfrac{u}{2}\cos u,\ \sin u + v\cos\tfrac{u}{2}\sin u,\ v\sin\tfrac{u}{2}\bigr) ( x , y , z ) = ( cos u + v cos 2 u cos u , sin u + v cos 2 u sin u , v sin 2 u ) Shape Appearance Advanced Reset view Copy link to this surface Juan Pablo Romero Méndez
Exploring type theory, functional programming, math visualization, and proof assistants
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