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THE GROUNDBREAKING MATHEMATICAL THEOREM
Three important facts about the theorem, in Ivan Zelich's own words:
1. It helps people understand geometrical structures better. It allows one to join the dots and relate different things together, which in the end usually leads to a quick solution.
2. As a result, it reduces calculations significantly, and out-performs methods and theorems that were discovered previously. For example, a five page proof was reduced to four lines with one application of the theorem.
3. If generalised, we could understand the structures of complex higher dimensional cubics, which may end allow us to better understand string theory and its geometric structures (the field of mathematics dealing with this is called Algebraic Geometry). Mathematicians in Washington did say that they believe the theorem will have massive applications in the future of mathematics.
'The theorem itself is concerned with finding an infinite set of triangles satisfying a particular property, or just lying on a particular locus. Our theorem proved that two seemingly different loci were in fact the same. And to prove this, we actually find many sub-results, each being so significant that they probably deserve a theorem of their own.'
UQ
