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Return to Main PageOctober 10 at FRUMAM9:00Accueil/Reception9:30Edmund HarrissIntroduction10:00Peter DavidsonSir Thomas Tresham (1541-1605) Catholic Recusant, amateur architect, and numerologist11:00Arnaud ChéritatExploratory experiments at representing geometric notions virtually and/or physically12:30 Lunch14:00Pierre BergerEsthetopy14:40Paul Prudence TBA15:00Alison MartinCrafting Complex Structures15:30Break16:00Jean-Paul Allouche Local versus global in mathematical and non-mathematical spaces16:40David Lasnier Various Small Spaces17:20EndOctober 11 at IMéRAIn the morning there will be short 5min presentations on a variety of topics, all participants are encouraged to present. These presentations will be filmed. In the afternoon everyone will join a small group for a discussion of a topic (the topic suggestions will be finalised on the 10th). After an hour for discussion each group will have a second hour to prepare a presentation for the whole group.9:30Accueil/Reception10:00Quick (5min) presentations11:00General discussion and preparation for afternoon12:30Lunch Buffet13:30Unconference groups 1: General discussions14:30Break14:45Unconference groups 2: Prepare presentation15:45Break16:00Reports from small groups to whole group17:00EndAbstractsPeter Davidson: Sir Thomas Tresham (1541-1605) Catholic Recusant, amateur architect, and numerologistThomas Tresham was a landowner, Catholic Recusant, amateur architect, and numerologist. He laid out at least one ambitious garden at Lyveden (which is being restored) and built two high symbolic and number-based buildings, Rushton Triangular Lodge (1593) and Lyveden New Building (abandoned 1605). It is these spaces which I would like to show, and on which I would invite mathematical enlightenment.I will explain something of the context of number as symbol in English renaissance culture in particular and in renaissance culture more generally. Tresham was clearly most interested in numbers and spaces. As a Catholic gentleman he was, after 1560, technically or actively on the wrong side of the English law. He was imprisoned for long periods of “preventive detention” during which he planned his intricate and allusive symbolic buildings. He also left still-unsolved sets of number-jottings relating to his buildings.I don’t; think his works have ever been seriously considered by mathematicians. It may be that (given the circumstances in which they were made) his number jottings may only be mysteries for their own sake, transposition-based codes involving randomly "significant" dates, or simply renderings of letters as number. In which case we’ll know not to look further by the end of the discussion. Or there may be subtleties beyond the obvious games with 3 in the Triangular Lodge, and play with 4 and 5 at Lyveden New Building. I can show you measured drawings, estate plans and pages from his notebooks. It may all be nothing or it may be a wonderful something.Arnaud Chéritat: Exploratory experiments at representing geometric notions virtually and/or physicallyIn the last few years I have been using 3D printers, 3D modelling software and 2D and 3D web browser technology to represent some geometric objects including : immersed surfaces in 3D and eversions 2D hyperbolic space 4D polytopesIn this talk I will make a short review of these experiments together with a few comments on a selection of key aspects in implementing them.Pierre Berger: EsthetopyThe exhibition esthetopy was presenting several artworks and installations. They were designed to offer new sensitive explorations inside (imaginary) mathematical spaces  still misunderstood. Some of these artworks was created during different collaborations with the artists Pierre-Yves Fave, Sergio Krakowski, Vincent Martial and Jimena Royo-Letelier. Others gave answers to problems of Thurston's School at the Geometry Center. Website: http://esthetopies.ihp.fr/ and  http://espaces-imaginaires.fr/Alison Martin: Crafting Complex Structures: Bending, folding, cutting and pasting - to make mathematically inspired shapes.Versions of complex patterns seen in nature can be generated with weaving and iterative construction techniques using simple materials and a low-tech approach.Deconstructing space into simplified topological constituents; working with vertices and edges and modifying their connectivity offers a visual language and insight into how patterns appear from the inside out. The slow, repetitive process of hand building physical models allows unexpected connections to be made and provides tactile understanding and practical insights into spatial concepts.Jean-Paul Allouche: Local versus global in mathematical and non-mathematical spacesWe try to underline the opposition-convergence between local and global properties in mathematics, but also in current life where global knowledge is discouraged through a systematically (and probably non-innocently) imposed local vision.David Lasnier: Various small spacesSome of my art projects deal with simple, yet paradoxical notions of space.They may sound ridiculous on a local scale, but make sense on a planetary or interplanetary scale. I like the idea that you have to mentally project yourself in a huge scale to understand a small object. The first part will be just a presentation of such projects as a list.On the second part of my speech I will focus a little longer on two ongoing, more mathematical projects, one involving self avoiding hamiltonian paths and another one geometry of paper folding.