Cross Sections of Three Solids
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows the various 2D cross sections of a cube, a pyramid over a square, and an octahedron. Use the controls to see all possible cross sections.
Contributed by: Matthias Wilder (July 2013)
(Mathematica Summer Camp 2013)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The mechanism that generates the 2D cross section uses parametric equations of the lines that compose the edges of the solid. The equations are set equal to the height of the plane to generate the points of intersection.
Permanent Citation
"Cross Sections of Three Solids"
http://demonstrations.wolfram.com/CrossSectionsOfThreeSolids/
Wolfram Demonstrations Project
Published: July 24 2013
Orthogonal Projection of a Solid of Constant Width
Izidor Hafner
Cross Sections of Regular Polyhedra
Oleksandr Pavlyk and Maxim Rytin
Stereographic Projection of Platonic Solids
Emile Okada
Sum of the Squares of the Sides of a Projected Regular Tetrahedron
Izidor Hafner
Chains of Regular Polygons and Polyhedra
George Beck
All 11 Folding Nets of the Cube
Izidor Hafner
All 11 Folding Nets of the Regular Octahedron
Izidor Hafner
Central Cross Sections of Polyhedra
Ed Pegg Jr
Théorème de Pappus (French)
Emmanuel Amiot
Théorème de Pascal (French)
Emmanuel Amiot
