Description

A suitable 21st century paraphrasing of Kepler's famous dictum

"Ubi materia, ibi geometria"
could be
"Where there is computational materials science,
there is computational geometry".

The workshop will bring together physicists, engineers, mathematicians and computational geometers whose work is motivated by or inspired by current geometric problems emerging in modern physics, materials science and crystallography.

Our goal is to facilitate the dissemination of a wealth of timely questions and applications, and to inspire both theoretical advances and improved algorithms for their practical solutions. Topics may include atom-bond networks, framework materials, displacive phase transitions, periodic minimal surfaces, non-euclidean tilings, data structures for handling symmetry and periodicity, granular materials and geometric design of materials with unusual properties (metamaterials).

Organizers

Vanessa Robins and Ileana Streinu and Monique Teillaud

Program

SoCG Invited Talk

  • Though not part of this workshop, the SoCG invited talk is mentioned here, since its topic fits in the workshop scope.

  • Vanessa Robins
    Department of Applied Mathematics, Research School of Physics, ANU
    The geometry and topology of crystals
    SLIDES (pdf)

Tuesday, July 4

  • 14:30 - 15:00 Henry Segerman
                Oklahoma State University
                Design of hinged 3D auxetic mechanisms
                SLIDES (pdf) - SLIDES with animations (.key)

  • 15:00 - 15h30 Olaf Delgado-Friedrichs
                ANU College of Physical and Mathematical Sciences
                Nets and tilings as models for crystals
                SLIDES (pdf)
                LINKS: Gavrog - RCSR - 2DTiler

  • 15:30 - 16h30 Coffee Break

  • 16h30 - 17h30 Yasu Hiraoka
                Tohoku University Advanced Institute for Materials Research
                Topological data analysis on materials science
                SLIDES (pdf)

Wednesday, July 5

  • 14:30 - 15:30 Gerd Schröder-Turk
                Murdoch University
                Mechanical and photonic meta-materials:
                function through geometric design

  • 15h30 - 16h Stuart Ramsden
                ANU College of Physical and Mathematical Sciences
                Symmetric differential growth

  • 16:00 - 16h30 Coffee Break

  • 16:30 - 17:00 Sabetta Matsumoto
                Georgia Tech School of Physics
                Non-euclidean virtual reality
                SLIDES (pdf) - SLIDES with animations (.key)

  • 17:00 - 17:30 Toen Castle
                Uni Pennsylvania Department of Physics & Astronomy
                Kirigami: using cutting, glueing and folding
                to refurbish the plane
                SLIDES (pdf)