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Neli's British Butterfly Photos.
Neil's Index Page, fountains in London and Butterfiles.
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Holiday Photos collected over the last few years.
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Colouring In
This section provides some geometric patterns for you to print out
and colour in. They are generated by a recursive algorithm, making them
more interesting that the repetitive patterns you usually find in books.
The Python script has been enhanced to include a 'relaxation' function that can be used
to make the patterns more uniform, and also to generate some animations, which are included
on an animations page.
There are also some coloured in examples and a downloadable python
script which will let you generate your own. The algorithm is also
explained so you can construct the patterns by hand.
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Artwork
These pages contains a selection of artwork
mostly by my brother Neil, but also a few doodles by me and some poems by various people.
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Sudoku Solving
Description and walk-through of an algorithm for solving Sudokus and a
Python script that implements it.
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More pattern creating code.
This page provides
the python code to generate a variety of patterns including
Spirographs and Mandelbrots. There is also python source code for bitmap and GIF
manipulation and animated GIF creation.
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Screen Backgrounds.
Some 1280 x 1024 background images, like this one. Click on
the image or go to
the python pattern pages.
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3x+1.
This page explores the sequences
of numbers generated using this rather simple rule: even numbers
are halved; odd numbers are multiplied by three and then
incremented.
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Maze Applets -
There are three on these.
The illustration on the left is an interactive one where
you can explore the maze. The second generates random mazes
based on polygons. The square ones will be familiar but it also
does hexagons and mazes based on the tessellation of octagons
and squares.
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Fibonacci Patterns
The Fibonacci Patterns
are generated from Fibonacci numbers using modulo arithmetic.
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Mathematical Applets
There are
two of these Mathematical Applets.
The one shown on the left uses simulated annealing
to try and find efficient packings of shapes within other
shapes. It does circles and polygons. The image shows 8 squares
inside an octagon. The second shows the interesting interference
patterns you get when you try and display circular contours on a
square lattice.
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Mandelbrots and Julia Sets
And other fractal images.
These are images from the distant past created with an OCX
I wrote so long ago I no longer have a copy.
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Cellular Automata
Two java
applets that generate Cellular
Automata. The image on the left shows a 1D automata, with successive
generations shown down the page to create a 2D image. There is
also a more dynamic 2D forest fire applet where you can watch a
simulated fire spread through the forest.
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Spirograph Patterns
This page has a java
applet that displays a set of Spirograph patterns and allows you
direct evolution towards the patterns that interest you. Being
calculated by computer the patterns can involve more than 2
wheels so a wider range is available compared to the toy
version.
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Other patterns
Two more applets for drawing patterns.
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