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Answers
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12
Examples of mathematics motivated by technological considerations
12
real symmetric matrix has real eigenvalues - elementary proof
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The “Dzhanibekov effect” - an exercise in mechanics or fiction? Explain mathematically a video from a space station
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Is every finite group a group of “symmetries”?
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Why are so few operations with arity bigger than 2?
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Why is a topology made up of ‘open’ sets?
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Does every ellipse inside a tetrahedron inside a ball fit in a triangle inside the ball?
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Relating the angle between two vectors to max and min eigenvalues
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Why worry about the axiom of choice?
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Which norms have rich isometry groups?
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Optic fibers after Joseph O’Rourke
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Towards a metric characterization of Euclidean spaces
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Find symmetries of a tree
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Intuition for mean curvature.