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Spatial geometry
Perfect matchings for the three-term Gale-Robinson sequencesIn 1991, David Gale and Raphael Robinson, building on explorations carried out by Michael Somos in the 1980s, introduced a three-parameter family of rational recurrence relations, each of which (with suitable initial conditions) appeared to give rise to a sequence of integers, even though a priori the recurrence might produce non-integral rational numbers. Throughout the '90s, proofs of integrality were known only for individual special cases. In the early '00s, Sergey Fomin and Andrei Zelevinsky proved Gale and Robinson's integrality conjecture. They actually proved much more, and in particular, that certain bivariate rational functions that generalize Gale-Robinson numbers are actually...
Ebook Cambridge Primary Mathematics (Learner's Book 4)Ebook Cambridge Primary Mathematics (Learner's Book 4) helps elementary students develop math skills, logical thinking and problem solving. Content includes arithmetic, geometry, measurement, statistics, with a variety of exercises and creative group activities.
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