You will need one head node, at least a dozen identical compute nodes, an Ethernet switch, a power distribution unit, and a rack. Determine the electrical demand, cooling and space required. Also decide on what IP address you want for your private networks, what to name the nodes, what software packages you want installed, and what technology you want to provide the parallel computing capabilities
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Have a talk with your teacher. Ask why she doesn't believe you, and if it still doesn't work, have a talk with someone that can physically help you - a principle or another teacher may be the best solution.