SCIENTIFIC PROGRAMS AND ACTIVITIES
|December 17, 2017|
Dedication of Geometric Polytope Mobile
The Fields Institute is pleased to announce the dedication of a geometric polytope statue which has been donated to the Institute in appreciation of Professor H.S.M. (Donald) Coxeter's lifelong contributions to geometry on the occasion of his 95th birthday.
The Sculpture to be dedicated on February 15th is a 3-dimensional
projection of the regular four-dimensional solid whose faces consist
of 120 regular dodecahedrons. When the projection is taken from
the centre, it results in the statue. The surface of this 5 foot
diameter ball resembles a soccer ball, with 30 hexagons (split
into four pentagons arising from 30 dodecahedrons which are projected
onto 2-dimensional figures) and 12 pentagons, which are the faces
of 12 dodeca-hedrons in the outer shell of the figure. These dodecahedrons
actually have 6 faces on the surface (including one pentagons
from each of the 5 hexagons surrounding each pentagon on the surface).
Also on this outer layer are another 20 dodecahedrons which have
three pentagonal faces on the surface (one in each of three adjacent
hexagons). In the centre, there are another 12 dodeca-hedrons
surrounding a central dodecahedron. This actually accounts for
the remaining 90 dodecahedrons of the 4-dimensional figure which
are not on the surface, because they are projected two to one
into three space.
Talks will be given by John H. Conway, and Marc Pelletier, to be followed by a reception.
John H. Conway, Princeton University
Prof. Conway will give a talk on new ideas on polytopes
Reception to follow
For further information please contact Program Co-ordinator at gensci(PUT_AT_SIGN_HERE)fields.utoronto.ca
Professor H.S.M. Coxeter