Harnessing the Universal Geometry of Embeddings: "A new paper shows all language models converge on the same "universal geometry" of meaning. Researchers can translate between ANY model's embeddings without seeing the original text."
https://arxiv.org/pdf/2505.12540
hat tip: Ethan Mollick
A Tour in the Wonderland of Math with Python - A collection of python scripts for drawing beautiful figures and animating interesting algorithms in mathematics.
https://github.com/neozhaoliang/pywonderland
hat tip to Karl Thidemann
One of Robert Boyle's "Curious Mathematical Forms" (1670)
https://x.com/pickover/status/1931542696474079529
hat tip to Karl Thidemann
Expanding Racks from Henry Segerman
Video: https://www.youtube.com/watch?v=iWknov3Xpts
Printable plans: https://www.printables.com/model/1305045-expanding-3-4-5-triangle
Article: https://www.core77.com/posts/137381/Expanding-Mechanisms-Designed-by-Henry-Segerman
Glynn Fractal
https://x.com/pickover/status/1831016941785407558
Glynn Julia Set
https://www.flickr.com/photos/subblue/3647227394
hat tip to Karl Thidemann
Geometric animations
https://x.com/Yann_LeGall
A new tetrahedron that always lands on the same side
https://www.quantamagazine.org/a-new-pyramid-like-shape-always-lands-the-same-side-up-20250625/
hat tip boingboing.net
Culture changes perception: circles or rectangles?
https://www.science.org/content/article/culture-literally-changes-how-we-see-world
hat tip: @BernieDoesIt@mstdn.social
Emily Dickinson’s Herbarium - pressed flowers and designs from a unique poet at an early age
https://iiif.lib.harvard.edu/manifests/view/drs:4184689$1i
hat tip: https://www.themarginalian.org/2017/05/23/emily-dickinson-herbarium/
Geometers Circle - geometric art and tutorials
https://geometerscircle.com/
Kinetic model of a tesseract
https://www.creativeapplications.net/project/round-about-four-dimensions-exploring-the-unknown/
hat tip: https://www.core77.com/posts/137789/An-Eye-Popping-Kinetic-Representation-of-a-Tesseract
Rinus Roelofs' exhibit at the Bridges conference
https://www.facebook.com/1206771269/videos/pcb.10239412001017345/2107838516375795
https://www.facebook.com/1206771269/videos/pcb.10239412001017345/709305988673842
https://www.facebook.com/1206771269/videos/pcb.10239412001017345/1800623344186058
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