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‘Hidden faces’ on objects made up of cubes placed on a flat surface
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| Submitted: Thu Jul 11 2002
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Introduction This piece of coursework investigates 'hidden faces' on objects made up of cubes placed on a flat surface. This coursework focuses on finding a formula for the number of faces of cubes that are hidden from sight. I will use many diagrams and tables to help me arrive at a conclusion to my investigation. Abbreviations In this investigation: Let x be the length, y the height and z the width, of a cuboid made up of single unit cubes like this: x, y and z are collectively z z known as 'the variables'. x Let n be the term number of a cube arrangement. Let h be the number of hidden faces in an arrangement, v the visible faces and T the total number of faces. abc means the number of a with dimensions bc. For example, hxy means the number of hidden faces with dimensions xy. Diff. is short for difference,...
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