Substitute Into Formulae (Spatial Patterns)

Interactive macro-enabled MS-Excel spreadsheet. Contents: Find number of diagonals D in a regular n-sided polygon. Find number of discs D in the nᵗʰ stage of a trapezoidal array. Find number of discs D in a trapezoidal array of base b & height h. Find number of cells C in the nᵗʰ stage of a triangular array. Find number of cells C in the nᵗʰ stage of a rectangular array. Find number of cells C in the nᵗʰ stage of a centred-square array. Find number of cells C in the nᵗʰ stage of a centred-hexagonal array. Find number of cubes C in the nᵗʰ expanding cuboid given l, w & h. Find number of regions R within n overlapping circles. Find number of cubes C in the nᵗʰ triangular-based pyramid. Find number of cubes C in the nᵗʰ square-based pyramid. Find number of cubes C in the nᵗʰ centred-square pyramid. Find sum Σ of the first n square, cube & other №s using a formula.