Exploring the Fourth Dimension: "Flatland: the Movie" and the geometric art of Salvador Dali and Ramon Lull
 
 
Description:  In the new movie version of "Flatland", the central geometric figure in that film is a cube that rotates about its center in three-space producing a number of central slices in the plane including a square, a rectangle, a rhombus, and a hexagon. What are the analogous central hyperplane slices in our three-dimensional space of a hypercube rotating about a point in four-dimensional space? In Salvador Dali's "Corpus Hypercubus", the hypercube appears in a fold-out form, inspired by the combinatorial philosophy of Ramon Lull. How can we explore such representations of the hypercube using interactive computer graphics, and produce materials that can be used by teachers and students at all levels?
Start Date:  2009-04-29
Start Time:   14:30
Speaker:  Thomas Banchoff (Brown Univ., USA)
Institution:  --
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