Kata

What is a hyperrectangle?
A hyperrectangle is a generalisation of a rectangle into higher or lower dimensions.

Examples of hyperrectangles

• A hyperrectangle in 2 dimensions would be a rectangle
  • its hyperperimeter would be a rectangle's perimeter
  • its hyperarea would be its area.
• A hyperrectangle in 3 dimensions would be a cuboid
  • its hyperperimeter would be its surface area
  • its hyperarea would be its volume.
• A hyperectangle in 4 dimensions
  • its hyperperimeter would be its surface volume
  • its hyperarea that would be its hypervolume.

Your Goal
Write a function that takes in the sides of an n-dimensional hyperrectangle as an array of length n, each item representing a length of the hyperrectangle, and outputs its associated hyperarea and hyperperimeter in a tuple of length 2

Technicalities

• Assume a point (0-dimensional shape) has a hyperarea of None and a hyperperimeter of None
• Assume a line (1-dimensional shape) has a hyperarea of its length and a hyperperimeter of None