klein bottle

Spring 2016  Design Studio

University of Waterloo School of Architecture

Supervisor: Lola Sheppard

Analog Graphite on Vellum

 

[16” x 15’’ x 20’’] Museum Board Model

 

Hand Assembly

OVERVIEW

 

This hand-made model is a reformation of a Klein bottle, a non-orientable surface for which no definite inside or outside exists. It can be only conceivable, mathematically in the 4-dimension. The Klein bottle model studies the concept of boundary-free spaces and is homeomorphic to real projective planes. Origami is the art of paper folding: the goal is to create intricate designs through sculpting techniques from flat square sheets of paper. Through the aggregation of numerous small triangular modules of different sizes, an origami Klein bottle is formed.

 

The accompanying pavilion drawings outline distinct, serviceable regions which demonstrates the relationship between topological mathematics and architecture. The various sizes of the star- like pattern plays with new spatial connections and configurations which dictate the programs within the given spaces.

assembly diagram

study models