Visual Insights (Part 2)

Azimuth 2025-03-19

For several years I ran a blog called Visual Insight, which was a place to share striking images that help explain topics in mathematics.  Last week I gave this talk about it at the Illustrating Math Seminar:

It was fun showing people the great images created by Refurio Anachro, Greg Egan, Roice Nelson, Gerard Westendorp and other folks. For more info on the images I talked about, go here:

2015 – 01 – 15 — Hammersley Sofa 2015 – 12 – 01 — Golay Code 2014 – 07 – 15 — {7,3} Tiling 2014 – 03 – 15 — {6,3,3} Honeycomb 2013 – 09 – 15 — {6,3,3} Honeycomb in Upper Half Space 2015 – 12 – 15 — Kaleidocycle 2016 – 02 – 15 — 27 Lines on a Cubic Surface 2015 – 04 – 15 — Sphere in Mirrored Spheroid 2015 – 10 – 01 — Balaban 10-Cage 2015 – 09 – 15 — McGee Graph

You can see the whole blog at the AMS website or my website, and you can check out individual articles here:

2013 – 08 – 15 — Tübingen Tiling 2013 – 09 – 01 — Algebraic Numbers 2013 – 09 – 15 — {6,3,3} Honeycomb in Upper Half Space 2013 – 10 – 01 — Catacaustic of a Cardioid 2013 – 10 – 15 — Atomic Singular Inner Function 2013 – 11 – 01 — Enneper Surface 2013 – 11 – 15 — Astroid as Catacaustic of Deltoid 2013 – 12 – 01 — Deltoid Rolling Inside Astroid 2013 – 12 – 15 — Truncated Hypercube 2014 – 01 – 01 — Pentagon-Hexagon-Decagon Identity 2014 – 01 – 15 — Weierstrass Elliptic Function 2014 – 02 – 01 — {5,3,5} Honeycomb 2014 – 02 – 15 — Cantor’s Cube 2014 – 03 – 01 — Menger Sponge 2014 – 03 – 15 — {6,3,3} Honeycomb 2014 – 04 – 01 — {6,3,4} Honeycomb 2014 – 04 – 15 — {6,3,5} Honeycomb 2014 – 05 – 15 — Pattern-Equivariant Homology of a Penrose Tiling 2014 – 06 – 01 — Grace–Danielsson Inequality 2014 – 06 – 15 — Origami Dodecahedra 2014 – 07 – 01 — Sierpinski Carpet 2014 – 07 – 15 — {7,3} Tiling 2014 – 08 – 01 — {7,3,3} Honeycomb 2014 – 08 – 15 — {7,3,3} Honeycomb Meets Plane at Infinity 2014 – 09 – 01 — {3,3,7} Honeycomb Meets Plane at Infinity 2014 – 09 – 15 — Prüfer 2-Group 2014 – 10 – 01 — 2-adic Integers 2014 – 10 – 15 — Packing Regular Octagons 2014 – 11 – 01 — Packing Smoothed Octagons 2014 – 11 – 15 — Packing Regular Heptagons 2014 – 12 – 01 — Packing Regular Pentagons 2015 – 01 – 01 — Icosidodecahedron from D6 2015 – 01 – 15 — Hammersley Sofa 2015 – 02 – 01 — Pentagon-Decagon Packing 2015 – 02 – 15 — Pentagon-Decagon Branched Covering 2015 – 03 – 01 — Schmidt Arrangement 2015 – 03 – 15 — Small Cubicuboctahedron 2015 – 04 – 01 — Branched Cover from (4 4 3_2) Schwarz Triangle 2015 – 04 – 15 — Sphere in Mirrored Spheroid 2015 – 05 – 01 — Twin Dodecahedra 2015 – 05 – 15 — Dodecahedron With 5 Tetrahedra 2015 – 06 – 01 — Harmonic Orbit 2015 – 06 – 15 — Lattice of Partitions 2015 – 07 – 01 — Petersen Graph 2015 – 07 – 15 — Dyck Words 2015 – 07 – 15 — Labs Septic 2015 – 08 – 01 — Heawood Graph 2015 – 08 – 15 — Tutte–Coxeter Graph 2015 – 09 – 01 — Hypercube of Duads 2015 – 09 – 15 — McGee Graph 2015 – 10 – 01 — Balaban 10-Cage 2015 – 10 – 15 — Harries Graph 2015 – 11 – 01 — Balaban 11-Cage 2015 – 11 – 15 — Newton’s Apsidal Precession Theorem 2015 – 12 – 01 — Golay Code 2015 – 12 – 15 — Kaleidocycle 2016 – 01 – 01 — Free Modular Lattice on 3 Generators 2016 – 01 – 15 — Cairo Tiling 2016 – 02 – 01 — Hoffman–Singleton Graph 2016 – 02 – 15 — 27 Lines on a Cubic Surface 2016 – 03 – 01 — Clebsch Surface 2016 – 03 – 15 — Zamolodchikov Tetrahedron Equation 2016 – 04 – 01 — Rectified Truncated Icosahedron 2016 – 04 – 15 — Barth Sextic 2016 – 05 – 01 — Involutes of a Cubical Parabola 2016 – 05 – 15 — Discriminant of the Icosahedral Group 2016 – 06 – 01 — Discriminant of Restricted Quintic 2016 – 06 – 15 — Small Stellated Dodecahedron 2016 – 07 – 01 — Barth Decic 2016 – 07 – 15 — Labs Septic 2016 – 08 – 01 — Endrass Octic 2016 – 08 – 15 — Cayley’s Nodal Cubic Surface 2016 – 09 – 01 — Kummer Quartic 2016 – 09 – 15 — Togliatti Quintic 2016 – 10 – 01 — Diamond Cubic 2016 – 10 – 15 — Laves Graph 2016 – 11 – 01 — Escudero Nonic 2016 – 11 – 15 — Bunimovich Stadium 2016 – 12 – 01 — Truncated {6,3,3} Honeycomb 2016 – 12 – 15 — Romik’s Ambidextrous Sofa 2017 – 01 – 01 — Chmutov Octic

Is that 79 articles? If I’d stopped at 78, that would be the dimension of E6.