Geometric Analysis Hands-on

Matematicum 2012

Geometric AnalysisHands-on

v./ Steen Markvorsen

Matematicum 2012

Geometric AnalysisSynopsis

• Idea

• Recruitment, education, research

• Case : Parametric Modelling, digital fabrication and casting

• Case : Minimal surfaces

• Case : Autarkic mini wind turbines, wing sections, and boomerangs

• Case : Moineau pump geometry

• End

Matematicum 2012

Geometric Analysis3D PRINTER ZP450

Matematicum 2012

Geometric AnalysisFume cupboard

Matematicum 2012

Geometric Analysis

MatematicumThe Mathematical Inspiratorium at DTU

Recruitment, education, and research

http://www.matematicum.dtu.dk/

Matematicum 2012

Geometric Analysis

Geometric OperationsCourse 01999

Recruitment, education, and research

Notes

Tetrahedral deformation

Matematicum 2012

Geometric Analysis

Differential GeometryCourse 01234

Recruitment, education, and research

Hyperbolic curvature 1

Hyperbolic curvature 2

Matematicum 2012

Geometric Analysis

EvolverOptimizer

Recruitment, education, and research

Maple2Evolver2Maple

Mound, s, q, r, G 4, g 50

Mound, s, q, r, G -4, g 50

Matematicum 2012

Geometric AnalysisMatematicum

Matematicum 2012

Geometric AnalysisMatematicum

Matematicum 2012

Geometric AnalysisMatematicum

Matematicum 2012

Geometric AnalysisMatematicum

Matematicum 2012

Geometric AnalysisMatematicum

Matematicum 2012

Geometric AnalysisMatematicum

Matematicum 2012

Geometric Analysis

Digital fabrication and casting

Parametric modelling

Jacob Drachmann and Rasmus Holst

Matematicum 2012

Geometric Analysis

Conformal Minimal Surfaces

Minimal surfaces

Matematicum 2012

Geometric AnalysisMinimal surfaces

Locally of smallest area, soap film models

Matematicum 2012

Geometric AnalysisMinimal surfaces

Locally of smallest area, soap film models

Parametric representations

Matematicum 2012

Geometric AnalysisMinimal surfaces, isometric family of deformations

Matematicum 2012

Geometric AnalysisFrom Maple to 3D PRINTER, hands-on

Matematicum 2012

Geometric AnalysisFrom Maple to 3D PRINTER, hands-on

Matematicum 2012

Geometric AnalysisFrom Maple to 3D PRINTER, hands-on

Matematicum 2012

Geometric AnalysisMinimal surfaces, Costa’s minimal surface

Matematicum 2012

Geometric AnalysisMinimal surfaces, Costa in snow and in LEGO

Matematicum 2012

Geometric AnalysisMinimal surfaces, Costa in soap

Matematicum 2012

Geometric AnalysisMinimal surfaces, Costa in plaster of Paris (dk: gips)

Matematicum 2012

Geometric AnalysisMinimal surfaces, Costa, ready to print, hands-on

Matematicum 2012

Geometric AnalysisMinimal surfaces, Costa, hands-on

Matematicum 2012

Geometric Analysis

Mini wind turbineProject by Ph.D. student Christina Beller, Risø DTU -:-

Wind turbines

Matematicum 2012

Geometric AnalysisAutarkic mini wind turbines

Matematicum 2012

Geometric AnalysisAutarkic mini wind turbines

The word "autarky" is from the Greek: αὐτάρκεια, which means "self-sufficiency"

Matematicum 2012

Geometric AnalysisMini wind turbine

Matematicum 2012

Geometric AnalysisMini wind turbine

Matematicum 2012

Geometric AnalysisMini wind turbine, hands-on

Matematicum 2012

Geometric Analysis

Wing sections and boomerangs

Flying and rotating

Matematicum 2012

Geometric Analysis

MOINEAU PUMPSAn ESGI project from Grundfos A/S

Moineau pumps

Matematicum 2012

MatematicumMoineau Pump Principle

Matematicum 2012

MatematicumMoineau Pump Principle

Matematicum 2012

Geometric AnalysisMoineau Pump Principle, hands-on

J. Gravesen: Spherical Curves for the design of conical Moineau pumps -:-

Matematicum 2012

Geometric AnalysisEnd

Thank you for your attention!