pete's notebook

Interactive explorations in math, puzzles, and visualizations

Puzzles

Nessies

A whimsical monotile tiling puzzle with water-like shapes

Cipra Loops

Barry Cipra's loop-tracing tile puzzle on a torus

Celtic Knots

Build Celtic knot patterns by placing tiles on a grid

Math

Spectre Monotile

Explore the aperiodic monotile discovered in 2023

Barnsley Fern

Fractal fern using iterated function systems

Multiplication Circle

Cardioid patterns from modular multiplication

Spiral Circles

Tangent circles in spiral arrangements

FLW Circles

Nested rings inspired by Frank Lloyd Wright

Bresenham Algorithm

Line drawing on a pixel grid

Izzy Triangles

Hexagon colorings and rotational symmetry

Quantiles

Exploring rank, relative rank, and quantile buckets

Games

Space Rocks

Classic asteroid-style game

Slow Sort

Sort cards one at a time — can you maximize the moves?

Animations

Eyes

SVG eyes that follow your cursor

Lissajous Curves

Parametric curves from sinusoidal motion

Rotating Links

Linked segments with configurable rotation

Physics

MakeCode Foray

Bouncing balls with conservation of energy

Cherry Arbor Design

Products & Articles

Handcrafted mathematical art and puzzle tiles

Craft

Ammann-Beenker

Aperiodic tiling with squares and rhombi

Celtic Knots

Creating intricate Celtic knot patterns

Cipra City

Line tiles forming continuous roads

Cipra Loops

Tiles with path connections on edges

Corona Tiles

Exploring Heesch numbers and tessellation

Ferns

Barnsley fern crafts and theater sets

Nessie

Parallelogram-based tiles with fluid shapes

Stomachion

Archimedes' ancient dissection puzzle

Tricurve

Tim Lexen's curved-edge tile