## Multi-pendulum Harmonograph simulator using numpy and matplotlib

22nd June 2017

This is a simple harmonograph simulator to generate random-ish harmonographs. It asks for the number of pendulums, and exits if the number is 0. It also asks for the frequency spread, which means roughly, how far from integer may the frequencies go. The nearer to integer they are, the ‘cleaner’ looking the harmonographs are, but […]

## Eight Queens Puzzle – Six Lines

7th March 2017

‘Eight Queens Puzzle’ is a classic chess puzzle, where you are challenged to place 8 queens, of the same colour, onto a chess board, such that no queen attacks any other queen. So, none of them may share a row, column, or diagonal with any other. In a previous post, I introduced Raymond Hettinger’s ‘Easy AI with […]

## A Neural Network in Python, Part 2: activation functions, bias, SGD, etc.

9th February 2017

This is Part 2 of A Neural Network in Python, which was a very simple neural network to learn the XOR function. This part builds on that example to demonstrate more activation functions, learning a simple math function, adding a bias, improvements to the initial random weights, stochastic gradient descent, mean square error loss function, […]

## A Neural Network in Python, Part 1: sigmoid function, gradient descent & backpropagation

31st January 2017

In this article, I’ll show you a toy example to learn the XOR logical function. My objective is to make it as easy as possible for you to to see how the basic ideas work, and to provide a basis from which you can experiment further. In real applications, you would not write these programs from scratch […]

## Ramanujan’s 129th Birthday

22nd December 2016

Someone on Reddit pointed out that today (Dec 22nd) is Ramanujan’s 129th birthday. One of the commenters further pointed out that 129 is the sum of the first 10 primes, and the smallest number that is the sum of three squares in four different ways (echoing Ramanujan’s comment on G.H. Hardy’s taxi number 1729 being the smallest […]

## Easy AI with Python 3

19th May 2016

Survey several basic AI techniques implemented with short, open-source Python code recipes. Appropriate for educators and programmers who want to experiment with AI and apply the recipes to their own problem domains. For each technique, learn the basic operating principle, discuss an approach using Python, and review a worked out-example. We’ll cover database mining using […]

## Have we already seen this number? (deja vu again)

8th April 2016

I had a phone interview for a Python job the other day. It started out really well, he was very impressed with my CV and called me a ‘rocket scientist’. But then we got down to the technical questions and my brain decided to go out to lunch, and (yet again) I managed to snatch defeat […]

## Hello World 2, in Python 3

24th March 2016

Hello World is the famous minimal introductory program for many programming languages. But as soon as it’s served its purpose, it’s discarded in the dust of history for more exciting things, such as data types or expressions… This is politically incorrect discrimination and must be stopped! This loyal and true didactic program should have the right to […]

## Spectral Harmonographs

5th October 2015

This Python + Pygame program draws the trace of 4 decaying sine waves, 2 per axis, with rainbow colours. It generates a sequence of random harmonographs. A harmonograph is a mechanical device typically seen in science museums, that has two or more pendulae with attached pens, that can draw on a sheet of paper. The pendulae are […]

## Harmonograph in Pygame

3rd October 2015

You may have seen those devices at the Science Museum or Exploratorium or Techniquest… There’s a drawing surface and some arrangement of pendula with a pen touching the paper on the drawing surface, set in motion it draws these pretty pictures, which are essentially decaying Lissajous figures. Lissajous figures are often seen in old sci-fi […]

## Number guessing game

1st October 2015

The number guessing game incorporates several simple but important elements of elementary programming and is a good candidate for an introductory programming example. If you’ve seen any programming course, you’ve probably seen the “Hello World” program. In Python it’s: print (“Hello World”)This is done to get the student(s) quickly to the point of having successfully installed […]

## Popular Sorting Algorithms

24th August 2015

Sorting is probably the most common type of algorithm in programming. A sorting algorithm puts elements of a list in a certain order. The most-used orders are numerical, and alphabetical. It’s extremely useful in many applications, because sorted data can be searched or merged very quickly (e.g. by binary search). A sorted data set is one where every item […]

## Stars and Stripes

4th July 2015

A variation on the Stars and Stripes American Flag for Independence Day. It’s an exercise in the use of transparency in Pygame. The stripes are made transparent so the stars image behind shows through.

## Animated Tower of Hanoi

3rd July 2015

The Tower of Hanoi is a classic problem that lends itself well to a recursive solution. The story involves some poor monks having to move 64 disks of different sizes (with central holes for the pegs) from one peg to another. There are three pegs, all the disks started on the first peg (in size […]

## Rainbow Flag in Pygame

29th June 2015

This little Pygame program paints the Rainbow Flag, as used by the LGBT movement. It illustrates: Importing the Pygame library RGB colours in hexadecimal Python’s for loop using the enumerate() function Filling a rectangular area in Pygame Updating display with flip() Saving the image

## A Quick Introduction to Python 3 Programming

23rd June 2015

This Quick Introduction to Python 3 aims to teach you just enough Python, so that you can get started in computer programming, and try out some of the example codes on this site! First, you’ll want to install Python 3 or you can use the in-browser Trinket near the bottom of the page – just edit […]

## Drawing Fractals with Lindenmayer Systems

17th June 2015

Lindenmayer systems, or L-systems, provide a very powerful way to construct fractals. Lindenmayer used L-systems to describe the behaviour of plant cells and to model the growth processes of plant development. An L-system is a rewriting system and a type of formal grammar. It consists of an alphabet of symbols that can be used to make […]

## A Fake Circle made of Straight Lines

15th June 2015

Inspired by this post on Reddit, I wrote this little script to do the same thing. The circle is an illusion created by 100 straight-line tangents to an invisible circle. The tangents are created by drawing a chord in a larger concentric circle, and moving it’s endpoints around by equal increments 100 times. The larger […]