On the Subject of Mathemetallics

Basic arithmetic just got metal!

• A Mathemetallics module displays an encoded binary operation that is written in base ρ,
  where ρ^{n + 1} = kρⁿ + ρ^{n - 1} for some positive integer k given by the symbol at the top right of the module.
• Any number of the form aρ + b, for integer values a and b, can be written in base ρ. A base ρ representation of a number uses only the digits 0 to k.
• A base ρ representation is displayed in positional index notation with the negative powers of ρ on the right half of the screen.
• The characteristic equation of ρ shown above gives rise to the identity;
  k1_ρ = 100_ρ, thus there are multiple ways to represent a number in base ρ.
• A base ρ representation is the minimal form if all occurrences of k are immediately followed by 0. There is only a single minimal form for each number written in base ρ.
• The minimal form of the result of the displayed operation must be entered into the module using the selector and buttons.