Geometric Bites

Vertex Form To Quadratic and Turning Point Step by step derivations. #vertexform #parabolas #polynomials

The Art of The Cross Product Cross Product Mastery (Pages 5 and 6) The Derivation #vectors #crossproduct #furtherpuremaths

The Art of The Cross Product Cross Product Mastery (Pages 3 and 4) Using the sigma symbol and the correct notation to compress mathematical data. #crossproduct #vectors

The Art of The Cross Product Cross Product Mastery (Part 2) Multiplication Support / Organisation Further Pure Mathematics 3 #vectors #crossproduct #furtherpuremaths

The Art of The Cross Product Cross Product Mastery (Part 1) Further Pure Mathematics 3 #vectors #3dspace

GCSE Rotation Geometry Problem Solved For All Time #geometry #gcsemaths

Pythagoras' Theorem Cheat Sheets #pythagorastheorem #geometry

The closest distance between a point and a line. Works in ℝ² and ℝ³. *Expanded version and workings. 13.03.2026

patreon.com/posts/more-mob… #mobius #transformations #complex #mapping #mathematics #mathart

ℂ × ℝ³ × ℤ ⟶ ℝ⁴

The closest distance between a point and a line. Works in ℝ² and ℝ³. #vectors #gcsemaths #alevelmaths

Visual Mathematics Images to Ratios and Ratios to Fractions #geometry #ratios

An alternative for the equation of a circle. Apply Thales's Theorem and the Dot Product and you get a beautiful equation. x²+y²+x1x2+y1y2=(x1+x2)x+(y1+y2)y Free Desmos demo: desmos.com/calculator/pmi… Follow, like and share for more! #vectors #circletheorems #puremathematics

The Fibonacci Spiral is a geometric pattern derived from the Fibonacci Sequence where each number is the sum of the two preceding ones starting with 0, and 1. Here is the construction of a Fibonacci Spiral:👇

patreon.com/posts/twisted-… #complex #function #visualization #mathart

Radius of Curvature ✍️ It explains how curved surfaces—like mirrors or lenses—can be understood by imagining them as small pieces of a much larger circle. If you could extend the curve until it formed a complete circle, the distance from the center of that circle

The angles within a right triangle or scalene triangle must add up to 180 degrees. #gcsemaths #alevelmaths