Mathematical illustration, generative art, and writing.https://edmund.mathematicians.org.uk/https://edmund.mathematicians.org.uk/projects/rauzy-gasket/https://edmund.mathematicians.org.uk/projects/rauzy-gasket/A fractal subset of the two-dimensional simplex defined by letter frequencies of ternary episturmian words.Tue, 16 Jun 2026 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/geometric-flows/writing/lattice-flows/https://edmund.mathematicians.org.uk/projects/geometric-flows/writing/lattice-flows/A planar lattice carried by geodesic and horocyclic flows, shown together in the plane and the upper half-plane and driven by one shared computation.Sun, 14 Jun 2026 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/bridges-2025/https://edmund.mathematicians.org.uk/projects/bridges-2025/Exhibited "Gradient of Grain" (2024)Mon, 14 Jul 2025 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/warped-reality/https://edmund.mathematicians.org.uk/projects/warped-reality/A group exhibition at the Composite Gallery, MoMath, and then at ICM 2026 in Philadelphia.Thu, 19 Jun 2025 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/intersections-summ-2025/https://edmund.mathematicians.org.uk/projects/intersections-summ-2025/Group exhibition organised by the Seattle Universal Math Museum (SUMM) and the Mercer Island Visual Arts League, celebrating how mathematics and art reveal truths about the universe. Works shown include Gradient of Grain and Curvahedra pieces.Mon, 03 Mar 2025 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/category-theory-travels/https://edmund.mathematicians.org.uk/projects/category-theory-travels/A photographic series carrying the Mac Lane's Categories for the Working Mathematician through UK and Iceland.Sat, 01 Feb 2025 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/jmm-2025/https://edmund.mathematicians.org.uk/projects/jmm-2025/Exhibited "Geodesic Boards" (2024) with Stephen J Trettel: six CNC carved cherry pieces exploring geodesics on arbitrary surfaces, paired with an online interactive calculator.Wed, 08 Jan 2025 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/genuine-pretending/https://edmund.mathematicians.org.uk/projects/genuine-pretending/A philosophical framework for mathematical art developed with Roger Antonssen and drawn from Moeller and D'Ambrosio's reading of the Zhuangzi.Wed, 01 Jan 2025 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/interview-wheatley/https://edmund.mathematicians.org.uk/projects/interview-wheatley/An Interview with Jon-Paul Wheatley of Jon-Paul's balls for MAA Focus.Wed, 01 Jan 2025 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/jmm-2024/https://edmund.mathematicians.org.uk/projects/jmm-2024/Exhibited "Gradient of Grain" (2023), a wood carving exploring the relationship between digital geometry and natural wood grain patterns.Wed, 03 Jan 2024 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/conversation-with-daubechies/https://edmund.mathematicians.org.uk/projects/conversation-with-daubechies/An edited conversation with Ingrid Daubechies on the role of play in mathematical research, published in the Math+Play guest-edited issue of MAA Focus.Mon, 01 Jan 2024 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/geometric-flows/https://edmund.mathematicians.org.uk/projects/geometric-flows/Placeholder for project explaining geodeisc flow and continued fractions with Pierre Arnoux.Mon, 01 Jan 2024 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/gradient-of-grain-article/https://edmund.mathematicians.org.uk/projects/gradient-of-grain-article/A short Art Department piece in MAA Focus describing the making of Gradient of Grain. The wood grain is treated as the natural geometry of the material (level sets recording the tree's growth) and the cuts follow the gradient direction perpendicular to it, which is also the cleanest direction to carve. An algorithm starting from the centre draws gradient lines outward, splitting them when the spacing grows too large; the wood is photographed, grain lines are traced, and the resulting network of paths is sent to the CNC machine.Mon, 01 Jan 2024 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/nervous-systems/https://edmund.mathematicians.org.uk/projects/nervous-systems/An interview with Jesse Louis-Rosenberg and Jessica Rosenkrantz, founders of Nervous System for MAA Focus.Mon, 01 Jan 2024 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/einstein-mad-hat-awards/https://edmund.mathematicians.org.uk/projects/einstein-mad-hat-awards/Award plaques created for the Einstein Mad Hat Awards in 2023. The awards celebrated the discovery of the hat monotile, solving the einstein problemTue, 28 Nov 2023 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/bridges-2023/https://edmund.mathematicians.org.uk/projects/bridges-2023/Exhibited "Study for Mathemalchemy's lighthouse" (2022), a collaborative work with Emily Baker, Ásgerður Johannesdóttir, and Sabetta Matsumoto using the Zipform system.Thu, 27 Jul 2023 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/barth-sextic/https://edmund.mathematicians.org.uk/projects/barth-sextic/Joint with Silviana Amethyst, A physical sculpture of the Barth Sextic, an algebraic surface of degree sixFri, 06 Jan 2023 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/jmm-2023/https://edmund.mathematicians.org.uk/projects/jmm-2023/Exhibited "Barth Sextic" (2020), a 20 cm sculpture in ash wood and brass representing the sextic surface with the maximum number of double-point singularities.Wed, 04 Jan 2023 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/dyslexia-research-mathematicians/https://edmund.mathematicians.org.uk/projects/dyslexia-research-mathematicians/Analysis of personal narratives from research mathematicians with dyslexia, exploring the strengths and challenges of neurodiverse mathematical thinkers.Sat, 01 Jan 2022 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/mathemalchemy/https://edmund.mathematicians.org.uk/projects/mathemalchemy/A large-scale collaborative mathematical art installation on the beauty and whimsy of mathematics.Sat, 01 Jan 2022 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/revealing-dimensions/https://edmund.mathematicians.org.uk/projects/revealing-dimensions/A 42'×8' mural installed at the Tulsa Regional STEM Alliance's Headquarters.Sat, 01 Jan 2022 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/counting-books-and-beyond/https://edmund.mathematicians.org.uk/projects/counting-books-and-beyond/A survey of mathematical books for children, discussing how they open up deep mathematical ideas to young audiences.Fri, 01 Jan 2021 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/bridges-2020/https://edmund.mathematicians.org.uk/projects/bridges-2020/Exhibited "Barth Sextic" (2020) at the virtual Bridges conference.Sat, 01 Aug 2020 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/hello-numbers/https://edmund.mathematicians.org.uk/projects/hello-numbers/A counting book where math provides all the drama, with Houston Hughes and Brian Rea.Wed, 01 Jan 2020 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/algebraic-starscapes/https://edmund.mathematicians.org.uk/projects/algebraic-starscapes/The beautiful patterns that appear when algebraic numbers are plotted with sizes determined by complexity (such as functions of the discriminant), revealing geometric structure.Sun, 01 Sep 2019 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/illustrating-mathematics/https://edmund.mathematicians.org.uk/projects/illustrating-mathematics/Strengthening and making visible the role mathematical illustration has always played in mathematical discovery. Sun, 01 Sep 2019 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/jmm-2019/https://edmund.mathematicians.org.uk/projects/jmm-2019/Exhibited "Three minimal surfaces from one piece" (2018, lasercut Mylar).Wed, 16 Jan 2019 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/geometry-walnut-grove/https://edmund.mathematicians.org.uk/projects/geometry-walnut-grove/Paper and artwork exploring perceptualism in a mathematical art project. Joint with Carl Smith and Angela Carpenter.Tue, 01 Jan 2019 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/big-internet-math-off-2018/https://edmund.mathematicians.org.uk/projects/big-internet-math-off-2018/A tournament to find the World's "Most Interesting Mathematician" three pitches, two wins getting to semi-finalFri, 03 Aug 2018 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/shifting-ammann/https://edmund.mathematicians.org.uk/projects/shifting-ammann/A 52'×8' wall installation at Oklahoma State University.Mon, 01 Jan 2018 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/zipform/https://edmund.mathematicians.org.uk/projects/zipform/A computation-and-fabrication system for creating curved architectural forms by zipping flat-cut pieces together. Mon, 01 Jan 2018 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/collatz-seaweed/https://edmund.mathematicians.org.uk/projects/collatz-seaweed/A visualisation of the Collatz conjecture: every number's path back to the 1, 2 loop.Sun, 01 Oct 2017 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/technology-craft/https://edmund.mathematicians.org.uk/projects/technology-craft/Treating manufacturing machines as mathematical objects, and exploring what they can do.Sun, 01 Jan 2017 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/tilings-handbook-chapter/https://edmund.mathematicians.org.uk/projects/tilings-handbook-chapter/Chapter 3 in the third edition of the Handbook of Discrete and Computational Geometry (CRC Press, 2017), co-authored with Doris Schattschneider and Marjorie Senechal.Sun, 01 Jan 2017 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/curvahedra/https://edmund.mathematicians.org.uk/projects/curvahedra/A modular construction system to explore the geometry of curvature.Fri, 01 Jan 2016 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/elevator-deformations/https://edmund.mathematicians.org.uk/projects/elevator-deformations/Two dimensional parquet deformations built off non-periodic tiling patterns. They deform and transform around the elevator enclosures in Champions Hall at the University of Arkansas.Fri, 01 Jan 2016 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/visions-of-the-universe/https://edmund.mathematicians.org.uk/projects/visions-of-the-universe/A mathematical coloring book co-authored with Alex Bellos.Fri, 01 Jan 2016 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/bridges-2015/https://edmund.mathematicians.org.uk/projects/bridges-2015/Exhibited "P-adics in Motion" (2015) with Roice Nelson.Wed, 29 Jul 2015 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/jmm-2015/https://edmund.mathematicians.org.uk/projects/jmm-2015/Exhibited three works: "Sakura" (2007), "Oval with orthogonal lines" (2014), and "Three studies in CNC milling" (2014).Sat, 10 Jan 2015 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/spira-gyroid/https://edmund.mathematicians.org.uk/projects/spira-gyroid/A large-scale barn-raising at the 2015 Joint Mathematics Meetings.Tue, 06 Jan 2015 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/patterns-of-the-universe/https://edmund.mathematicians.org.uk/projects/patterns-of-the-universe/A mathematical coloring book co-authored with Alex Bellos.Thu, 01 Jan 2015 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/2d-crystals/https://edmund.mathematicians.org.uk/projects/2d-crystals/Collaboration with physicist Salvador Barraza-Lopez applying discrete differential geometry to atom-thin crystalline materials. Especially how the geometry helps understand electric, optical and chemical properties.Wed, 01 Jan 2014 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/woven-rings/https://edmund.mathematicians.org.uk/projects/woven-rings/The rings my wife and I wear.Sat, 05 Jan 2013 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/number-2/https://edmund.mathematicians.org.uk/projects/number-2/A short story in the Mathematical Intelligencer that uses mathematical induction as its narrative structure.Tue, 01 Jan 2013 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/parallelogram-tilings/https://edmund.mathematicians.org.uk/projects/parallelogram-tilings/Joint with Dirk Frettlöh, showing the worms in parallelogram tilings, where parallel sides link must be infinite if the tiling has finite orientations.Tue, 01 Jan 2013 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/pentagonal-domain-exchange/https://edmund.mathematicians.org.uk/projects/pentagonal-domain-exchange/Self-inducing piecewise isometries with pentagons and heptagons.Tue, 01 Jan 2013 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/improvising-mathematics/https://edmund.mathematicians.org.uk/projects/improvising-mathematics/A report co-authored with Alex Fradera on integrating improvisational theatre into a University of Arkansas honours mathematics course.Sun, 01 Jan 2012 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/magnetic-klein-quartic/https://edmund.mathematicians.org.uk/projects/magnetic-klein-quartic/A physical model of the Klein quartic, a genus-3 hyperbolic surface tiled by 24 regular heptagonsmbuilt from neodymium magnets.Sun, 02 Oct 2011 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/academic-prejudice-humbleness/https://edmund.mathematicians.org.uk/projects/academic-prejudice-humbleness/A book chapter in a book about working beyond disciplines that gives a slightly naive, but personal, attempt to lay out my thinking. Reading it back I would not say it the same way, but it still captaures a lot of my thinking today.Sat, 01 Jan 2011 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/from-oranges-to-modems/https://edmund.mathematicians.org.uk/projects/from-oranges-to-modems/Part of a collection of articles in Nature on the unexpected impact of Mathematics.Sat, 01 Jan 2011 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/tiling-typography/https://edmund.mathematicians.org.uk/projects/tiling-typography/A series of four typographic studies placing classic typefaces over mathematical tiling patterns.Tue, 01 Jun 2010 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/spirographs-3d/https://edmund.mathematicians.org.uk/projects/spirographs-3d/An exploration of spirograph curves extended into three dimensions, with Richard GrimesThu, 14 Jan 2010 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/royal-society-summer-2009/https://edmund.mathematicians.org.uk/projects/royal-society-summer-2009/Tilings and patterns at the Royal Society Summer Science Exhibition.Tue, 30 Jun 2009 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/sculpture-system-5/writing/construction/https://edmund.mathematicians.org.uk/projects/sculpture-system-5/writing/construction/From Polydron prototypes and a CNC router at Fab Lab Iceland to a night installation on the Eldfell lava field, and a second build at the Newcastle Maker Faire.Thu, 23 Apr 2009 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/sculpture-system-5/https://edmund.mathematicians.org.uk/projects/sculpture-system-5/A sculpture system of hinged triangles to make deltahedra, joint with Richard Grimes.Wed, 01 Apr 2009 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/how-shapes-fill-space/https://edmund.mathematicians.org.uk/projects/how-shapes-fill-space/A popular mathematics article for iSquared Magazine to accompany an exhibit at the 2009 Royal Society Summer Science Exhibition.Thu, 01 Jan 2009 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/bridges-2008/https://edmund.mathematicians.org.uk/projects/bridges-2008/Exhibited three works: "16 Squares" (oil on canvas), "Nautilus and Conch" (laser-cut wooden tiles), and "Sakura" (inkjet on Washi paper, pattern using the Penrose tiling and substitution rule).Thu, 24 Jul 2008 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/arscie-2008/https://edmund.mathematicians.org.uk/projects/arscie-2008/Art-science group show at the Blyth Gallery, Imperial College London, curated by Dora Tang.Tue, 27 May 2008 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/responsibilities-mathematicians/https://edmund.mathematicians.org.uk/projects/responsibilities-mathematicians/Article in Mathematics Today arguing that mathematicians need to be engaged in how their subject interacts with the world. Tue, 01 Jan 2008 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/bridges-2007/https://edmund.mathematicians.org.uk/projects/bridges-2007/Exhibited three works: "Nautilis and Conch" (laser-cut wooden tiles, first example of Rauzy fractals using non-PV numbers), "Ammann Squares", and "Ammann Scaling" (both canvas prints exploring the Ammann-Beenker tiling).Tue, 24 Jul 2007 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/flattening-functions-flowers/https://edmund.mathematicians.org.uk/projects/flattening-functions-flowers/Studies when a Lipschitz function on an expanding circle map can be 'flattened', made Lipschitz-cohomologous to a constant, on a flower, a geometric structure formed by the closure of a pre-image selector's image. Mon, 01 Jan 2007 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/logic-mathematical-writing/https://edmund.mathematicians.org.uk/projects/logic-mathematical-writing/A course using informal logic to teach clear mathematical writing to undergraduate students, developed at Queen Mary, University of London.Mon, 01 Jan 2007 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/bridges-2006/https://edmund.mathematicians.org.uk/projects/bridges-2006/Exhibited "24 Nine-fold Stars" (2006), a print on canvas exploring the scaling symmetry of a substitution rule with 9-fold symmetry.Fri, 04 Aug 2006 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/non-periodic-rhomb-tilings/https://edmund.mathematicians.org.uk/projects/non-periodic-rhomb-tilings/Construction of a family of rhomb substitution rules for all dihedral symmetries in the plane.Sat, 01 Jan 2005 00:00:00 GMThttps://edmund.mathematicians.org.uk/projects/tilings-projection-method/https://edmund.mathematicians.org.uk/projects/tilings-projection-method/Research into the relationship between substitution rules and projection tilings.Mon, 01 Jan 2001 00:00:00 GMT