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breathmath.org Playground

Dan's Personal Explorations in Geometry & Numbers

Interactive Workspace

Where mathematics breathes & takes shape.

Welcome to my private sandbox. Here you'll find interactive mathematical experiments, generative artwork, puzzle mechanics, scale models, and calculus visualizations. Feel free to play with the inline tools or explore each full concept.

Geometry / Art SeeLogo / C-Logo

Math Art & Generative Curves

Turtle geometry, dynamic spirographs, harmonic spirals, and algorithmic visual art created through recursive geometric instructions.

6
60°
Status: Active Exploration
Arithmetic Logic Okidoku Studio

Okidoku Arithmetic Puzzles

A harmonious blend of KenKen cage-arithmetic and Sudoku row/column constraint rules. Solve cages using sum, product, and difference goals.

3x3 Mini Grid In Progress
Status: Prototype Ready
Graph Theory / Space Continuous Paths

Labyrinths & Polar Topology

Concentric circular paths, unicursal labyrinth algorithms, graph traversal, and geometric maze generation in polar coordinates.

5
Status: Interactive Canvas
Scale & Physics Powers of Ten

Cosmic Scale Explorer

Interactive zoom through logarithmic orders of magnitude—from Planck length and quarks up to observable universe dimensions.

Order of Magnitude: 10⁰ meters Human Scale (1 meter)

Human height, everyday objects, and standard laboratory instruments measure around 1 meter.

Status: Educational Tool
Calculus / Analysis Temperature vs Time Model

Asymptotes & Rational Functions Explorer

Visualizing domain restrictions, vertical asymptotes, horizontal/slant asymptotic trends, and removable discontinuities (holes) using physical cooling/heating rate scenarios.

VA: x = 2.00

HA/Slant: y = 2.00

Hole: None detected

Status: Complete Tool