Rotations in space make good Saturday morning maths at the King’s School.
Month: November 2015
This method for finding the centre, and by extension the equation, of a circle given three non-colinear points, brings the ancient textbook master Euclid onto Descartes’ coordinate plane and right into the 21 century classroom.
The sine function starts life in a triangle (year 9?) then becomes intimate with a circle at A level, as y-coord of a point rotating on a unit circle. Later it is about infinite series or, even, differential equations.
Have got absorbed by the National Cipher Challenge. Not sure what this animation varying the multiplier in an ‘Affine Shift’ add 5. Functional grid shows transition from Caesar Shift 5, multiply by 1, through to multiply by 13, which is a useless cipher. In fact any multiplier not co-prime with 26 can be seen to be …