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In this piece of coursework, I have investigated the number of routes from one of the top corners on a polyhedron to the opposite base corner.  

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Year 10 Maths Coursework Routes on Polyhedra In this piece of coursework, I have investigated the number of routes from one of the top corners on a polyhedron to the opposite base corner. I followed these rules: a vertice may be used more than once per route but an edge may not, once the destination vertice has been reached the route must stop, and never move upwards. Prisms I chose to begin by working out the number of routes from a top corner to the opposite base corner in the commonest prism, the cuboid. To do this, I have drawn the cuboid shape out many times, using a computer to save time, and marked on each one a different route that could be taken. I also gave each vertice a letter, which meant that the routes could be presented in a written form. This means that for any shapes I use after this,...

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