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

Not a Photo

Calculus surfaces (small) 3d printed
Calculus surfaces (small) 3d printed
Digital Preview

Not a Photo

Calculus surfaces (small) 3d printed
Calculus surfaces (small) 3d printed
Digital Preview

Not a Photo

3d Model Viewer

About this Product

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)

Note that the hyperboloid of two sheets is not connected. In the photo here I have propped them apart using a piece of overhead projector transparency sheet, rolled into a tube and secured with sticky tape.

What's in the Box
INCM

With transparent film used to support the hyperboloid of two sheets.
Calculus surfaces (small) in White Strong & Flexible
Width Height Depth
11.356 cm 13.15 cm 5.258 cm
This model is 3D Printed in White Strong & Flexible: White nylon plastic with a matte finish and slight grainy feel.
Model version 2 | Last updated on 07/13/2014

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