pytudes

“An étude (a French word meaning study) is an instrumental musical composition, usually short, of considerable difficulty, and designed to provide practice material for perfecting a particular musical skill.” — Wikipedia

This project contains pytudes—Python programs for perfecting programming skills.

Some are in Jupyter (IPython) notebooks, some in .py files. You can view the files here, or clone the project, or run the notebooks online by clicking this button:

Index of Jupyter (IPython) Notebooks

Programming Examples
Advent of Code 2017 Puzzle site with a coding puzzle each day for Advent 2017.
Advent of Code 2016 Puzzle site with a coding puzzle each day for Advent 2016.
Project Euler Utilities My utility functions for the Project Euler problems, including Primes and Factors.
Translating English Sentences into Propositional Logic Statements Automatically converting informal English sentences into formal Propositional Logic.
Beal’s Conjecture Revisited A search for counterexamples to Beal’s Conjecture
WWW: Who Will Win (NBA Title)? Computing the probability of winning the NBA title, for my home town Warriors, or any other team.
Pickleball Tournament Scheduling a doubles tournament fairly and efficiently.
Conway’s Game of Life The cellular automata zero-player game.
A Chaos Game with Triangles A surprising appearance of the Sierpinski triangle in a random walk between vertexes.
Generating Mazes Make a maze by generating a random tree superimposed on a grid.
Can’t Stop Optimal play in a dice board game.
Bike Speed Versus Grade How fast can I bike as the route gets steeper?
Properly Ordered Card Hands Can you get your hand of cards into a nice order with just one move?

Logic and Number Puzzles
When is Cheryl’s Birthday? Solving the “Cheryl’s Birthday” logic puzzle.
When Cheryl Met Eve: A Birthday Story Inventing new puzzles in the Style of Cheryl’s Birthday.
The Devil and the Coin Flip Game How to beat the Devil at his own game.
The Puzzle of the Misanthropic Neighbors How crowded will this neighborhood be, if nobody wants to live next door to anyone else?
Four 4s, Five 5s, and Countdown to 2016 Solving the equation 10 _ 9 _ 8 _ 7 _ 6 _ 5 _ 4 _ 3 _ 2 _ 1 = 2016. From an Alex Bellos puzzle.
Sicherman Dice Find a pair of dice that is like a regular pair of dice, only different.
Sol Golomb’s Rectangle Puzzle A Puzzle involving placing rectangles of different sizes inside a square. Bonus: cryptarithmetic.
The Riddler: Battle Royale A puzzle involving allocating your troops and going up against an opponent.

Word Games
xkcd 1970: Name Dominoes Lay out dominoes legally; the dominoes have people names, not numbers.
Ghost The word game Ghost (add letters, try to avoid making a word).
World’s Longest Palindrome Searching for a long Panama-style palindrome, this time letter-by-letter.
Refactoring a Crossword Game Program Refactoring the Scrabble / Word with Friends game from Udacity 212.
xkcd 1313: Regex Golf Find the smallest regular expression; inspired by Randall Monroe.
xkcd 1313: Regex Golf (Part 2: Infinite Problems) Regex Golf: better, faster, funner. With Stefan Pochmann.
Let’s Code About Bike Locks A tale of a bicycle combination lock that uses letters instead of digits. Inspired by Bike Snob NYC.
Gesture Typing What word has the longest path on a gesture-typing smartphone keyboard?
How to Do Things with Words, or Statistical Natural Language Processing in Python Spelling Correction, Secret Codes, Word Segmentation, and more: grab your bag of words.

Math Concepts
A Concrete Introduction to Probability Code and examples of the basic principles of Probability Theory.
Probability, Paradox, and the Reasonable Person Principle Some classic paradoxes in Probability Theory, and how to think about disagreements.
Symbolic Algebra, Simplification, and Differentiation A computer algebra system that manipulates expressions, including symbolic differentiation.
Economics Simulation A simulation of a simple economic game.
How to Count Things Combinatorial math: how to count how many things there are, when there are a lot of them.
Euler’s Sum of Powers Conjecture Solving a 200-year-old puzzle by finding integers that satisfy a5 + b5 + c5 + d5 = e5.

Computer Science Algorithms and Concepts
BASIC Interpreter How to write an interpreter for the BASIC programming language.
Bad Grade, Good Experience As a student, did you ever get a bad grade on a programming assignment? (Snobol, Concordance)
The Convex Hull Problem A classic Computer Science Algorithm.
The Traveling Salesperson Problem Another of the classics.

Index of Python Files

File	Description	Documentation
SET.py	Analyze the card game SET.	SET.html
beal.py	Search for counterexamples to Beal’s Conjecture	beal.html
docex.py	A framework for running unit tests, similar to doctest.
ibol.py	An Exercise in Species Barcoding	ibol.html
lettercount.py	Convert Google Ngram Counts to Letter Counts	mayzner.html
lis.py	Lisp Interpreter written in Python	lispy.html
lispy.py	Even Better Lisp Interpreter written in Python	lispy2.html
lispytest.py	Tests for Lisp Interpreters
pal.py	Find long palindromes	palindrome.html
pal2.py	Find longer palindromes	palindrome.html
pal3.py	Find even longer palindromes	palindrome.html
py2html.py	Pretty-printer to format Python files as html
spell.py	Spelling corrector	spell-correct.html
sudoku.py	Program to solve sudoku puzzles	sudoku.html
testaccum.py	Tests for my failed Python accumulation display proposal	pyacc.html
yaptu.py	Yet Another Python Templating Utility

Etudes for Programmers

I got the idea for the “etudes” part of the name from this 1978 book by Charles Wetherell that was very influential to me when I was first learning to program.