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Investigate the amount of joints and rods in various different structures
Member rating: No Rating | Words: | Submitted: Sun Aug 03 2003
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The task set is to investigate the amount of joints and rods in various different structures. The structures I am initially investigating are cubes and cuboids. I intend to draw the structures I am investigating on isometric grid paper and record the results in tables. I will then state formulae to calculate the amount of rods or joints in any size structure. To back up my formulae I will be making predictions and proving them to be correct (hopefully!) Joints Inside the structures I will be investigating the joints I predict to find are the following: three joint-3J four joint-4J five joint-5J six joint-6J Found on the Found on the Found on the Found inside vertices edges faces I will now investigate the joints above and any others I find in cubes and cuboids. Joints In Cubes Cube Size 3J 4J 5J 6J TJ 2x2x2 8 12 6 1 27 3x3x3 8 24 24 8 64 4x4x4 8 36 54 27 125 5x5x5 8 48 96 64 216 6x6x6 8 60 150 125 343 7x7x7 8 72 216 216 512 8x8x8 8 84 294 343 729 I will now explain how I collected the results above and state algebraic formulae to calculate the...
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