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Having a world record is a pretty great achievement. Having a world record thats mathematically unbeatable is even better. Today Im going to show you some world record surfaces, which are part of the field of algebraic geometry. That topic is really a way to connect equations with the beautiful shapes that they correspond to. Mathematicians have always been eager to visualise their work and get an idea of what an equation looks like. Without computers around, they went to great lengths to calculate lots of values, and used plaster, wire and paper to handcraft those models. World Record surfaces are particularly baffling shapes that stand out because of their number of singularities. Ill get to what that means in just a bit. But first, lets take a look at how an equation forms any shape at all. This is a free programme called SURFER,derived from the word surface, theres a link to it down in the description. It allows us to visualise the shapes from eq