Visualizing Hyper-Dimensional Spaces and Objects

Wednesday, February 11, 2015, 5 - 7pm

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When n>3 : Visualizing Hyper-Dimensional Spaces and Objects

A lecture by Will Shapiro

Visualizing high dimensional objects in low dimensional spaces is a fundamental tool of the architect. Plans, sections, axonometric and perspective drawings project 3 dimensional objects onto the 2 dimensional plane of a sheet of paper. Objects that occupy more than 3 dimensions can be similarly projected and visualized, rendered in 2 and 3 dimensions so as to be visually comprehensible. In this lecture we explore the mathematics behind such projections, and the spatial ramifications they engender.

Wednesday 11 February at 5pm in Rm806 at 41 Cooper Square

This lecture is presented as part of the following course and is open to all current members of The Cooper Union:



Multidimensional Space

Professor Pablo Lorenzo‐Eiroa

This course researches cognitive problems specific to architecture. Architects incorporate geometry, mathematics and physics, among other disciplinary knowledge to explore novel ideas of space, while architecture did not provide yet any novel material to these disciplines that are investigating multidimensional space. Within this context, the course investigates each class a higher dimension in space, exploring MULTIDIMENSIONALITY.

  • Founded by inventor, industrialist and philanthropist Peter Cooper in 1859, The Cooper Union for the Advancement of Science and Art offers education in art, architecture and engineering, as well as courses in the humanities and social sciences.

  • “My feelings, my desires, my hopes, embrace humanity throughout the world,” Peter Cooper proclaimed in a speech in 1853. He looked forward to a time when, “knowledge shall cover the earth as waters cover the great deep.”

  • From its beginnings, Cooper Union was a unique institution, dedicated to founder Peter Cooper's proposition that education is the key not only to personal prosperity but to civic virtue and harmony.

  • Peter Cooper wanted his graduates to acquire the technical mastery and entrepreneurial skills, enrich their intellects and spark their creativity, and develop a sense of social justice that would translate into action.