Geoffrey Irving

@irving
482 Followers
113 Following
465 Posts
Chief Scientist at the UK AI Security Institute (AISI). Previously DeepMind, OpenAI, Google Brain, etc.
webhttps://naml.us
githubhttps://github.com/girving
locationLondon
Geoffrey IrvingFeb 28, 2024
External rays growing from infinity in a Julia set (colab: http://tinyurl.com/2wee7ey9)
Google Colaboratory

Geoffrey IrvingFeb 27, 2024
The Mandelbrot set and two Julia sets, normal and inverted views.
Show threadGeoffrey IrvingFeb 26, 2024
With some potential bands highlighted, growing out from infinity to hit the Mandelbrot set. No one knows for sure whether these bands stay continuous in the limit (but they almost certainly do).
Geoffrey IrvingFeb 26, 2024
The Mandelbrot set, with infinity in the center.
Geoffrey IrvingJul 18, 2023
Ah yes, surely this is the correct default, website.
Geoffrey IrvingJul 7, 2023
Planck’s constant guy seems a bit angry?
Show threadGeoffrey IrvingDec 15, 2022
3. A Newton fractal on the icosahedron, with only tetrahedral symmetry due to questions about where the poles go (https://mathoverflow.net/questions/393578)
If I have zeros at the vertices of an icosahedron, where should the poles go?

I've been tinkering with Newton's method applied to polynomials. E.g., Newton's method for $z^5 - 1 = 0$ gives: There aren't a lot of symmetric patterns of finite sets of points in the plane, so I

MathOverflow
Show threadGeoffrey IrvingDec 15, 2022
2. A visualization of increasing complexity in the Koch snowflake, expressed as a surface (old collaboration with Henry Segerman).
Geoffrey IrvingDec 15, 2022

A short fractal thread, so that my Mastodon feed has pretty pictures:

1. Experimenting with Böttcher coordinates for the Mandelbrot set (mapping the exterior of the set to the exterior of the unit disk)