Hatcher-Topology-of-Numbers · Problem 4.1.1

Quadratic Forms

Mathematics — Algebraic Topology · topograph

Problem

Draw the topograph for the form Q(x,y)=2x2+5y2Q(x,y) = 2x^2 + 5y^2, showing all the values of Q(x,y)≤60Q(x,y) \leq 60 in the topograph, with the associated fractional labels x/y^x/_y. If there is symmetry in the topograph, you only need to draw one half of the topograph and state that the other half is symmetric.

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