MathDB

ratio of sides of cubes, octahedron (2013 NZOMC Camp Sel. p4)

Source:

January 4, 2021

geometry3D geometryratiooctahedron

Problem Statement

Let

C

be a cube. By connecting the centres of the faces of

C

with lines we form an octahedron

O

. By connecting the centers of each face of

O

with lines we get a smaller cube

C'

. What is the ratio between the side length of

C

and the side length of

C'