~ Early Web Links ~

Kenny Felder offers a thorough and accessible explanation of Gödel's Incompleteness Theorem, drawing heavily on Hofstadter's 'Gödel, Escher, Bach' to walk readers through the mathematics and philosophy behind one of the most profound results in logic. Written in 1996, the piece explores formal axiomatic systems, Russell and Whitehead's Principia Mathematica, and the far-reaching implications of Gödel's work for mathematics, artificial intelligence, and the nature of mind.

Kenneth Falconer is a Regius Professor of Mathematics at the University of St Andrews whose personal academic page covers his pioneering work in fractal geometry, geometric measure theory, and multifractal analysis. Visitors will find links to his books and preprints, fractal movie resources, maths poems, and even a note about his impressive record completing 36 LDWA hundred-mile walks.

A detailed educational resource dedicated entirely to Pascal's Triangle, covering its construction, history, and the surprising number of patterns hidden within it. Visitors can explore topics ranging from the Fibonacci sequence and Sierpinski fractals to prime numbers and polygonal numbers, with downloadable programs to generate and visualize the triangle's patterns.

Dominic Cook's personal site collects his explorations in mathematics, number theory, measure theory, and speculative metaphysics alongside creative web projects like 88x31 webpins, glitch art, and calculators. The mix of rigorous mathematical writing and old-web aesthetics makes it a quirky, intellectually curious corner of the indie web.

A research project exploring the intersection of mathematics and poetry through a historical timeline tracing connections between mathematicians and poets across the centuries. The site offers a curated timeline, sources, and resources for anyone curious about how these two disciplines have influenced each other.

A collaborative study group blog documenting UCLA Extension's 2015 Category Theory course led by Professor Michael Miller, covering abstract algebra, functors, and related mathematical structures. Participants followed a structured syllabus across multiple chapters, sharing notes, resources, LaTeX diagrams, and meeting summaries over the summer term.

PlanetMath.org is a collaboratively built mathematics encyclopedia where community members write and review entries covering a vast range of mathematical topics, all rendered in LaTeX. Hosted by the University of Waterloo and operated as a nonprofit, it offers both a subject index and alphabetical index, making it a serious reference hub for students, educators, and math enthusiasts.

Hosted at York University, the Gallery of Data Visualization is a reference collection showcasing classic and contemporary examples of statistical graphics and chart design. It serves as an educational resource for students and researchers interested in how data can be effectively communicated through visual means.

Shtetl-Optimized is the long-running blog of Scott Aaronson, a theoretical computer scientist and quantum computing researcher, where he dives deep into complexity theory, quantum computing misconceptions, AI, and education policy. Known for its intellectual rigor and wit, it attracts readers from academia and beyond who enjoy substantive takes on math, physics, and the occasional culture-war skirmish in gifted education.

Julien C. Sprott's Fractal Gallery is a sprawling collection of computer-generated fractal artwork, featuring a daily auto-updated fractal derived from strange attractor algorithms described in his book 'Strange Attractors: Creating Patterns in Chaos'. Visitors can browse thousands of downloadable images spanning Julia sets, Mandelbrot sets, 3D anaglyphs, tilings, and animations, plus a Java applet that generates new fractals every five seconds.