Question

How many planes pass through three or more vertices of a regular octahedron?

Answer 1

The total number of planes = 23 planes

Explanation:

The number of planes are give as follows;

The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20

The number of distinct planes that has 4 points in the octahedron = 3

Therefore, the total number of planes are 20 + 3 = 23 planes.