Henry Segerman's Mathematical Art

Designs by henryseg
Thank you for visiting my shop! Videos of many of the sculptures can be seen on the pages for the individual models, or you can visit my YouTube channel. See my website for non-3D printed artwork and other interesting things. Many of these sculptures are joint work with Saul Schleimer. Some of these feature our "maker's mark", shown here. I also have a second Shapeways shop, a collaboration with Marco Mahler to design 3D printed mobiles.

henryseg is selling 9 products in Calculus Surfaces section

by henryseg
 
(0)  
  •  
From: $327.40
 
by henryseg
 
(0)  
  •  
From: $120.09
 
by henryseg
 
(0)  
  •  
From: $105.45
 
by henryseg
 
(0)  
  •  
From: $213.46
 
by henryseg
 
(0)  
  •  
From: $143.76
 
by henryseg
 
(0)  
  •  
From: $121.73
 
by henryseg
 
(0)  
  •  
From: $117.96
 
by henryseg

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)
 
(0)  
  •  
From: $30.00
 
by henryseg
 
(0)  
  •  
From: $104.14