Mathematical Feelings of Space: Schedule and Abstracts
October 10 at FRUMAM
|10:00||Peter Davidson||Sir Thomas Tresham (1541-1605) Catholic Recusant, amateur architect, and numerologist|
|11:00||Arnaud Chéritat||Exploratory experiments at representing geometric notions virtually and/or physically|
|15:00||Alison Martin||Crafting Complex Structures|
|16:00||Jean-Paul Allouche||Local versus global in mathematical and non-mathematical spaces|
|16:40||David Lasnier||Various Small Spaces|
October 11 at IMéRA
In 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.
|10:00||Quick (5min) presentations|
|11:00||General discussion and preparation for afternoon|
|13:30||Unconference groups 1: General discussions|
|14:45||Unconference groups 2: Prepare presentation|
|16:00||Reports from small groups to whole group|
Peter Davidson: Sir Thomas Tresham (1541-1605) Catholic Recusant, amateur architect, and numerologist
Thomas 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 physically
- immersed surfaces in 3D and eversions
- 2D hyperbolic space
- 4D polytopes
In 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.
Alison Martin: Crafting Complex Structures: Bending, folding, cutting and pasting – to make mathematically inspired shapes.
We 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.
Some 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.