A Strongly Aperiodic Monotile in Three Dimensions(arxiv.org)
4 points by nhatcher | 2 comments
An arXiv paper presenting a strongly aperiodic monotile that tiles three-dimensional space only non-periodically.
#geometry on Hacker News
16 stories tagged geometry, newest first.
Polyedergarten: Garden of Paper Polyhedron Models(polyedergarten.de)
47 points by isaacimagine | 5 comments
Personal website showcasing paper models of polyhedra, including Platonic and Archimedean solids, with VRML models and multilingual navigation.
Great Dirhombicosidodecahedron ("Miller's Monster")(software3d.com)
71 points by cobbzilla | 12 comments
A gallery page from the Stella polyhedron software site showing a paper model of the great dirhombicosidodecahedron, known as Miller's Monster.
Mathematical Origami(mathigon.org)
108 points by signa11 | 22 comments
Mathigon page on mathematical origami, showing how to fold Platonic solids and other polyhedra with 3D models and explanations.
Lunar Terminator Paradox(notes.secretsauce.net)
97 points by dima55 | 64 comments
Blog post by Dima Kogan explaining the lunar terminator paradox optical illusion, using a program he wrote to work out why the moon's lit side seems misaligned with the sun.
Geolocating a random island using geometry and CUDA programming(yassa9.github.io)
507 points by yassa9 | 82 comments
A writeup for the gralhix004 OSINT challenge describing how the author geolocated an islet photo using geometric analysis and CUDA GPU search.
What is a manifold?(quantamagazine.org)
335 points by isaacfrond | 117 comments
Quanta Magazine explainer on manifolds, the mathematical spaces conceived by Bernhard Riemann that underpin modern geometry and physics.
First convex polyhedron found that can't pass through itself(quantamagazine.org)
514 points by fleahunter | 146 comments
Quanta Magazine article on the discovery of the first convex polyhedron shown not to have Rupert's property, meaning it cannot pass through a hole in itself.
New sphere-packing record stems from an unexpected source(quantamagazine.org)
414 points by pseudolus | 210 comments
Quanta Magazine article on how a newcomer to sphere packing set a new record, solving a major open problem after just a few months of work.
A new pyramid-like shape always lands the same side up(quantamagazine.org)
629 points by robinhouston | 154 comments
Quanta Magazine article about mathematicians constructing a tetrahedron that is stable on only one face, confirming a decades-old conjecture.
That fractal that's been up on my wall for years(chriskw.xyz)
523 points by chriskw | 37 comments
A personal blog post analyzing a square-combining fractal doodle the author drew in middle school and has kept on his wall for 12 years.
A visual proof that a^2 – b^2 = (a + b)(a – b)(futilitycloset.com)
634 points by beardyw | 174 comments
A Futility Closet blog post showing a diagrammatic visual proof that a² − b² = (a + b)(a − b), with a Sophie Germain quote.
A solution to The Onion problem of J. Kenji Lopez-Alt (2021)(medium.com)
359 points by fanf2 | 139 comments
Medium post by Dylan Poulsen presenting a mathematical solution to J. Kenji López-Alt's problem of cutting an onion into evenly sized pieces.
AlphaGeometry: An Olympiad-level AI system for geometry(deepmind.google)
516 points by FlawedReformer | 158 comments
Google DeepMind research blog post introducing AlphaGeometry, an AI system that solves olympiad-level geometry problems.
Is this Duplo train track under too much tension?(puzzling.stackexchange.com)
1314 points by robin_reala | 212 comments
A Puzzling Stack Exchange question asking whether a Duplo train track layout built by the poster's kids can close without excessive tension.
New Orleans teenagers found a new proof of the Pythagorean Theorem(keith-mcnulty.medium.com)
849 points by malshe | 227 comments
Medium member-only article by Keith McNulty explaining how two New Orleans teenagers found a new trigonometric proof of the Pythagorean Theorem.