Christopher J. Kimmer, Ph.D.

IU Southeast Informatics

Next: Symmetry and BPMSs Up: Quasiperiodic Minimal Surfaces Previous: The Mathematics of Quasiperiodicity

Constructing Quasiperiodic Minimal Surfaces

Quasiperiodic tilings have been the focus of much study for their relationship to quasicrystalline structures as well as for their intrinsic mathematical properties, and quasiperiodic surfaces have been studied by Sheng and Elser[ 25 , 26 ] as a complementary alternative to tilings for the description of quasiperiodic structures. The role of surfaces as space partitioners provides a means to visualize quasiperiodic ordering, and the fact that an equilibrium inteface between homogeneous media is a minimal surface provides a means to construct minimal surfaces with desired symmetries.

• Symmetry and BPMSs
• Modelling a BPMS
• Sheng's Numerical Results
• Sheng's Critical Surface

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