blocky-octahedrons

Blocky Octahedrons

An octahedron is an 8-sided polyhedron whose faces are triangles.

Create a method that outputs a 3-dimensional array of an octahedron in which the height, width, and depth are equal to the provided integer size, which is equal to the length from one vertex to the opposite vertex on the octahedron.

Example

createOctahedron(7)

{{
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 }
}, {
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 1, 1, 1, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 }
}, {
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 1, 1, 1, 0, 0 },
{ 0, 1, 1, 1, 1, 1, 0 },
{ 0, 0, 1, 1, 1, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 }
}, {
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 1, 1, 1, 0, 0 },
{ 0, 1, 1, 1, 1, 1, 0 },
{ 1, 1, 1, 1, 1, 1, 1 },
{ 0, 1, 1, 1, 1, 1, 0 },
{ 0, 0, 1, 1, 1, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 }
}, {
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 1, 1, 1, 0, 0 },
{ 0, 1, 1, 1, 1, 1, 0 },
{ 0, 0, 1, 1, 1, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 }
}, {
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 1, 1, 1, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 }
}, {
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0 }
}}

where each 1 represents a cubic unit that the octahedron takes up and where 0 is a cubic unit of empty space.

Notes

• The method should return an empty array/list if either
• The input size is even (because then it wouldn't be an octahedron. It'd be an irregular polyhedron with 26 sides)
• if the input size is 0 or less
• if input size is 1 (that's called a cube).