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Interdisciplinary Workshop 5: 4D Fab Lab From Dürer and Dali to 4D Printing: You Can't Make It 'Til You Shake It

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Nicole Brovarski, Mallory Griffin, David Appleby, Marissa Fichera, and John Jungck

​How do complicated structures self-assemble? How can random processes produce beautiful, symmetric, and complex designs? How can we build structures that optimally and completely fill 3D space? In this workshop, we will have you build a variety of polyhedral using a variety of construction materials and see how mathematical projections help solve 4D design problems. The fourth dimension in 4D printing is time. 

Albrect Dürer, the artist, wrote a manual on the mathematics of perspective for artists in 1525 wherein he introduced what we call Dürer nets which are now widely used in origami construction of polyhedra. In the 1880’s, the mathematician Schlegel introduced what we call Schlegel diagrams. Afterwards, Alicia Boole focused on how to visualize four-dimensional polytopes. In 1954 the nontraditional, surrealist Salvador Dalí used her mathematical approach to produce his famous oil-on-canvas painting “The Crucifixion (Corpus Hypercubus).” We will use a variety of materials to construct three dimensional polyhedra and produce multiple two dimensional geometric and topological projections of the polyhedral that you have built and to infer some fundamental graph theoretic relationships about vertices, edges, and faces. From there we will move towards understanding how viruses self-assemble by exploring the principles of self-assembly, fab labs, and four-dimensional printing. 

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Interdisciplinary Workshop 5: 4D Fab Lab From Dürer and Dali to 4D Printing: You Can't Make It 'Til You Shake It
  • Interdisciplinary Science Learning Laboratories
  • 221 Academy Street, Suite 402
  • University of Delaware
  • Newark, DE 19716, USA
  • Phone: 302-831-6400
  • isll-info@udel.edu
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