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Calculus surfaces (small)

Calculus surfaces (small) 3d printed With transparent film used to support the hyperboloid of two sheets.
With transparent film used to support the hyperboloid of two sheets.
  • White

    White nylon plastic with a matte finish and slight grainy feel.

    $30.00

This is a collection of common example surfaces from classes in multivariable calculus. Much larger versions of these surfaces are available here.

Contour lines, together with 8 radial curves make up the surfaces. All surfaces are plotted in such a way to show values of z in [-2,2]. The hyperbolic paraboloid is further cut along a cylinder of radius sqrt(2). The equations of the surfaces are:

  • Elliptical cone: z = +- sqrt(2x^2 + y^2)
  • Hyperboloid of one sheet: z = +- sqrt(x^2 + y^2 - 1)
  • Hyperboloid of two sheets: z = +- sqrt(x^2 + y^2 + 1)
  • Circular paraboloid: z = x^2 + y^2
  • Elliptical paraboloid: z = 2x^2 + y^2
  • Hyperbolic paraboloid: z = x^2 - y^2
  • Sphere: z = +- sqrt(1 - x^2 - y^2)
  • Ellipsoid: z = +- sqrt(1 - (x^2)/2 - y^2)

Dimensions

IN: 4.471 w x 4.471 d x 4.471 h
CM: 11.356 w x 13.15 d x 5.258 h

Comments

 
@natalia Awesome thanks!
February 1, 2013, 11:24 pm
@henryseg You're featured on our blog today http://www.shapeways.com/blog/archives/1903-Friday-Finds-Curate-our-Homepage.html
February 1, 2013, 10:26 pm