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Part 1 Aim: Investigate how many different arrangements there are for five cubes on the bottom layer when the grid size is 2x3. Rule 1: The number of cubes on the bottom layer is one less than the number of squares on the grid. On a grid size of 2x3 squares, there is a possible of 6 different variations using only 5 cubes because all 6 squares have to be empty once. The variations are as follows! Part 2 Aim: Investigate the relationship between number of arrangements and the size of the grid when there are: (a) Two layers of cubes, (b) More than two layers of cubes Rule 1: The number of cubes on the bottom layer is one less than the number of squares on the grid. Rule 2: Each new layer is made with one less cube than the layer underneath it. (a) To find out the formula for 2 layers of cubes, I drew a table, which...

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