Archive for January 16th, 2023


Little Imaginary Diagrams

I asked Midjourney for some simple proofs of the Pythagorean Theorem. The results make me happy. :)

(On the text side: GPT-2 and even GPT-3 might have hallucinated something interesting. ChatGPT would just error out a few times and then give a boring literal description of one in a condescending tone. My ability to be interested in ChatGPT as an interaction partner is severely limited by how boring it is. But anyway, back to the pictures!)

Presented without comment (beyond the alt text):

A geometric diagram with various lines and colored areas and illegible labels (some of which may be small integers). Amusingly, there do not appear to be any right triangles.
A geometric diagram with various lines and colored areas and labels. Some labels are illegible, but there is an 8, a 3, a 4, and a few 1's. Some of the colored areas contain brick patterns, and there is a random architectural arch and a few other map-like textures thrown in.
A comparatively simple geometric diagram of lines and colored areas. There is a right triangle labeled E textured in a pebbly pattern, a rectangle labelled with a G and a unfamiliar glyph, and various areas with fine blue stripes.
A relatively modern-looking flat geometrical diagram containing three triangles (two of them right triangles) in gradients of different colors, a large grey striped area, and various lines. There are labels that look vaguely numeric, but are basically unreadable.

I hope you find these at least as amusing, endearing, and/or thought-provoking as I do. :)