Puzzling Visual Maths For The Curious Minded #7  
     
  archimedes lab logo
Archimedes Laboratory Project

Mental & Perceptual Activities that Enhance Critical and Creative Thinking Skills

Social Media Contact us Like us on Facebook Circle us on Google+ Follow us on Twitter Pin it Thumb up this page

 

 

Puzzling Visual Maths

Button Backward

Cube in a Cube or the Intersecting Tetrahedra Button Forward
 

A polyhedron compound of two cubes is obtained by allowing two cubes to share opposite polyhedron vertices, and then rotating one a sixth of a turn about the axis that joins the two opposite vertices (see fig. 1 below).

As you can see from fig. 2, the two-cube compound is made up of 12 pyramidal modules. Each pyramidal module is composed of two right triangles with ratio 2:1 and one isosceles right triangle.

Intersecting tetrahedra


Print the PDF with the paper model (shown in fig. 3) to make your own compound of two cubes.

Read more: from MathWorld.

Origami Variant
2-cube compoundDavid Brill devised an original way to make the compound of two cubes by using modular origami folding technique. You will need 12 square papers, 6 of one color + 6 of another, and a lot of patience to build your polyhedron compound.

Instructions: see the video below.

Source: origami instructions found in Dave’s book: Brilliant Origami.

 
 
 

 

You can comment and discuss this puzzle on our FaceBook fan page.

 

From the same Author
Impossible Folding Puzzles
Impossible Folding Puzzles
Pliages, dêcoupages et magie
Pliages, découpages & magie
Libro MateMagica
MateMagica: Giochi d'ingegno con la matematica
 
     
 
 

archimedes lab logoArchimedes Laboratory Project
Mental & Perceptual Activities that Enhance
Critical and Creative Thinking Skills

Social Media Contact us Like us on Facebook Circle us on Google+ Follow us on Twitter Pin it Thumb up this page
arrow 1ABOUT arrow 1SITEMAP arrow 2 SERVICES arrow 2 PRODUCTS arrow 1SUBMIT arrow 1ADVERTISE arrow 1CONTACT
 

 

   For Publishers
   Workshops
  Books
  Puzzles
  Prints & Posters
  Illusory Art
     
Archimedes in the bathtub
 
Contact us Like us on Facebook Circle us on Google+ Follow us on Twitter Pin it Thumb up this page
 
  © 1997-2014 G. Sarcone [Archimedes-lab.org] All rights reserved  
  Creative Commons LicenseArchimedes Laboratory™ by Gianni A. Sarcone is licensed under a
Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License