Greg Oliver – Cantor's Archive

Numerical Analysis

Deriving the Quadratic Equation From the Roots Up

Solving Quadratics using gradients at the roots

Numerical Analysis

Sextic Polynomials — A Practical Approach

At a young age a builder taught me how to mark out a right angle using the 3,4,5 triangle rule with a tape measure. That math practicality has stuck with me and recently I have been working to decipher it into its ‘LEGO block’ constituents to increase intuitive

Numerical Analysis

The Simplest Cubic Root

A very simple Cubic polynomial root approximation using architectural symmetry and similar triangles

Geometry

Cubic Polynomials – Using Similar Triangles to Approximate Roots

Applying Similar Triangles to approximate roots aided by ‘natural’ Cubic architecture

Mathematics

Cubic Polynomials — Managing the Architecture to Calculate Roots

Rotating cubic roots into managed quadratic segments where the math is easier!

Numerical Analysis

Cubic Polynomials – Rotation to Calculate Roots

Exploiting the amazing symmetry of cubic polynomials to quickly find the first root using Newton’s method.