Who's Who of Elliptic Functions
2021-08-01
An intuitive introduction to one of my favorite mathematical subjects.

Beatty Series and Sums over Rationals
2021-06-01
Exploiting extremely discontinuous stair-stepping to derive cool series identities.

Convergence of Complex Power Series
2021-05-11
I sure hope you like circles!

Polyhedra in STL and the Conway Operators
2021-03-30
Data structures an algorithms for storing, constructing, and manipulating 3D polyhedra.

Mechanical Mockery with Discord.py
2020-10-30
How to use Python and the Markov model of natural language to mock members of a Discord server.

Introduction to Order Theory
2020-09-20
Introductory theory of total orders, plus some bonus applications to philosophy.

Recursive Generative Art with Pycairo
2020-08-16
How to use recursion and Pycairo to make pretty pictures.

Alternate Day-Night and Seasonal Cycles
2020-07-15
What would days and seasons be like if Earth's orbit was different?

Packet-Fragmentation Optimization Problems
2020-06-01
A simplified model of how to optimize time-savings through packet fragmentation.

Environmental Crossfitness in Genetic Algorithms
2020-05-20
Virtually evolved 'organisms' make fools of themselves in unfamiliar environments.

Trigonometry on the Koch Snowflake
2020-04-25
Explore the boundary of a famous fractal with infinite perimeter.

Population Puzzles and Mendelian Inheritance
2020-03-07
Some cute puzzles involving Mendelian genetics.

SVD Decomposition and Image Compression
2019-12-10
I extract the essence of a beautiful iguana.

Loops and Groops
2019-10-30
Use group theory to describe picture-hanging puzzles and paths on strange surfaces.

Blue Eyes and Common Knowledge
2019-09-20
Metaknowledge makes a difference.

Evolution with Python
2019-08-05

Snell's Law and Quickest Paths
2019-07-25

An Auction Problem
2019-07-05

Zeroes of Aperiodic Sinusoids
2019-05-28 13:11:06

The Diet Problem
2019-03-10 13:54:35

Utility and optimization problems
2019-03-03

Sums Involving Arithmetic Functions
2018-09-01

Some Arithmetic Functions
2018-08-25

About PROMYS
2018-08-13

Interesting Trigonometric Integrals
2018-06-16

The Residue Theorem
2018-05-26

A Half-Exponential Integral
2018-05-19

Dirichlet Series
2018-04-12

Multidimensional Integrals
2018-03-30

The Gamma and Digamma functions
2018-03-10

Reciprocal-Fibonacci Series
2018-01-30

Some Double-Exponential Series
2018-01-07

Using complex numbers to evaluate series
2017-12-22

Fractional Iterates
2017-12-08

Strange recursions
2017-11-14

A summary of functional iteration
2017-11-04

Solving Difference Equations
2017-10-14

Integration without Antidifferentiation
2017-09-05

More Functional Equations
2017-08-15

Sums with Binomial Coefficients
2017-07-30

Inverse Trigonometric Identities
2017-07-10

Roulettes, non-Russian
2017-07-03

Non-telescoping Sums
2017-06-24

The Gamma and Lambert-W Functions
2017-06-21

Extension of Summation Bounds
2017-06-11

Telescoping Sums
2017-06-09

The Billiard Ball Problem
2017-06-03

Solving Functional Equations
2017-05-31

Pascal's Trapezoid and Some Puzzles
2017-05-22

Digit Sums
2017-05-13

Two Divisibility Problems
2017-05-09

Pascal's Triangle
2017-05-06

Explicit Fibonacci Sequence
2017-04-29

n-Involutory Rational Functions
2017-04-17

Iterated Polynomials
2017-04-09

More on Iterated Functions
2017-04-04

Amortization Formulas
2017-03-30

Area Under a Sine Arch
2017-03-09

Squares in a Lattice Grid
2017-02-24

Slicing a Plane
2017-02-19

Triangle Median Problem
2017-02-10

How to Graph a Donut
2017-01-28

Iterated Functions
2017-01-12

The Lemniscate
2016-12-27

Tilted Parabola
2016-12-07

Distance from a Point to a Line
2016-12-01

Island Bomb Problem
2016-11-20

Area of a Regular Polygon
2016-11-08

Centroid of a Triangle
2016-11-05