Mister T's Mathematical Diversions

My Programs, mostly graphically illustrating mathematical ideas or problems, are written in BBC BASIC for Windows with embedded Assembly Language due to it's straightforward, efficient style. Listings included here will run if cut-and-pasted into BBC BASIC, and .exe files will run stand-alone. BBC BASIC for Windows is a user-friendly, painless way to utilise x86/Pentium Assembly Language.
Click BBC BASIC for Windows

Some programs also have Visual C# versions. To run these you will need to install the .NET Framework

Many programs have been updated or completely rewritten. All Pendulum programs were rewritten entirely in January 2018.

Some of the dynamical programs are developed from material clearly explained by Dr. David Acheson of Oxford University in his book "From Calculus to Chaos" .... plus an excellent reference for some of the advanced and/or obscure mathematics I've needed is to be found at MATHWORLD

My tutorial Assembly Language programs are one of the more often visited pages. In addition to the Help section within BBC BASIC for Windows, the best reference for Assembly Language is: The Art of Assembly Language by Randall Hyde (Published 2010)

Program Selection

• Surface Water Waves: Plane and Circular
• 3 Planets, N Asteroids + a Planet
• Vibrating, Spring and Double Pendulum
• 3-D, Polar, Catacaustic, Implicit Curves
• Julia and Mandelbrot Sets
• Spirograph emulator
• 3-D Rotations: Axes, Cube, Polygons, Scaffold
• Trivia: Cobwebs, Pipes, Bezier, Blobs, Smudges
• Trivia: ColourCube, Scribble, Stars
• The famous Life Program
• Fractal Landscapes
• L-System Fractals: Trees, Ferns and 3-D
• Pictures: Reflections, Colour Swap, Combine
• Pictures: Glass, Solariser, Smooth, Sharpen
• Pictures: Spline Resize, Grey Scale, PanoMaker
• Pictures: Jigsaw, Window, Ripples, Enhance
• Pictures: Edge Detector, Crystal Ball, Pixel Migration
• Pictures: SlideShow, Puddle, FishEye
• Pictures: Hue Changer, LOMO, ShiftColour
• Pictures: Twister, Spyglass, Basic Picture Editor
• Bouncing Balls, Rocket, Fireworks
• MIDI: Demo, GuitarSim, MIDIMod
• Mind-Map
• WAV demo, Celestial and Random Music
• The Lyapunov Exponent
• Games: Countdown and Patience
• Prim Algorithm demo.
• Hot & Cold Metal, Potential
• 2D-to-3D Converter, Ball Room
• Hangman and GreyPoint
• Moebius Transform
• MultiSpiro
• False Moonlight
• IsoCol
• Minesweeper
• Ink Sketch
• Big Numbers

Where to Obtain BBC
BASIC for Windows

Version 6.14a of BBC BASIC for Windows is the latest revision as of April 2021.

It includes many features you'd expect in C++, such as structures and structured prototypes.

It's available from, and indeed written by:
Richard Russell
and costs just £30 ( or around $50 )

My Email: tony(dot)tooth@btinternet.com

Programs start on the Next Page

IMPORTANT:
Many of my executable programs run in full screen with NO mouse control.
Don't panic! Alt-F4 will always parachute you back to normality.
NOTE: Many Text versions on this website will need the following
Library Utilities: MyUtils and BMPUtils. Also MIDI_Utils