A Mathematical Approach to Obtain Isoperimetric Shapes for D-Form Construction

Year: 2016 Authors: Ramon Roel Orduño; Nicholas Winard; Steven Bierwagen; Dylan Shell; Negar Kalantar; Alireza Borhani; Ergun Akleman

Core claim

Uniform scaling of boundary curves enables flexible creation of isoperimetric shapes for D-forms, supporting physical fabrication and design exploration.

Topics

D-form construction, isoperimetric shapes, developable surfaces, software plugins, architectural studio

Domains

differential geometry, Gauss-Bonnet theorem, perimeter approximation, uniform scaling, architectural design, digital fabrication, vector graphics, concrete sculpture

Methods

piecewise linear approximation, uniform scaling, optimization solver, plugin implementation

Media

flat shapes, plastic sheets, concrete, laser-cut pieces, vector graphics software

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.