Geometric Analysis Hands-on
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Transcript of Geometric Analysis Hands-on
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Matematicum 2012
Geometric AnalysisHands-on
v./ Steen Markvorsen
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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
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Matematicum 2012
Geometric Analysis3D PRINTER ZP450
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Matematicum 2012
Geometric AnalysisFume cupboard
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Matematicum 2012
Geometric Analysis
MatematicumThe Mathematical Inspiratorium at DTU
Recruitment, education, and research
http://www.matematicum.dtu.dk/
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Matematicum 2012
Geometric Analysis
Geometric OperationsCourse 01999
Recruitment, education, and research
Notes
Tetrahedral deformation
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Matematicum 2012
Geometric Analysis
Differential GeometryCourse 01234
Recruitment, education, and research
Hyperbolic curvature 1
Hyperbolic curvature 2
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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
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Matematicum 2012
Geometric AnalysisMatematicum
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Matematicum 2012
Geometric AnalysisMatematicum
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Matematicum 2012
Geometric AnalysisMatematicum
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Matematicum 2012
Geometric AnalysisMatematicum
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Matematicum 2012
Geometric AnalysisMatematicum
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Matematicum 2012
Geometric AnalysisMatematicum
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Matematicum 2012
Geometric Analysis
Digital fabrication and casting
Parametric modelling
Jacob Drachmann and Rasmus Holst
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Matematicum 2012
Geometric Analysis
Conformal Minimal Surfaces
Minimal surfaces
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Matematicum 2012
Geometric AnalysisMinimal surfaces
Locally of smallest area, soap film models
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Matematicum 2012
Geometric AnalysisMinimal surfaces
Locally of smallest area, soap film models
Parametric representations
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Matematicum 2012
Geometric AnalysisMinimal surfaces, isometric family of deformations
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Matematicum 2012
Geometric AnalysisFrom Maple to 3D PRINTER, hands-on
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Matematicum 2012
Geometric AnalysisFrom Maple to 3D PRINTER, hands-on
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Matematicum 2012
Geometric AnalysisFrom Maple to 3D PRINTER, hands-on
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Matematicum 2012
Geometric AnalysisMinimal surfaces, Costa’s minimal surface
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Matematicum 2012
Geometric AnalysisMinimal surfaces, Costa in snow and in LEGO
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Matematicum 2012
Geometric AnalysisMinimal surfaces, Costa in soap
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Matematicum 2012
Geometric AnalysisMinimal surfaces, Costa in plaster of Paris (dk: gips)
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Matematicum 2012
Geometric AnalysisMinimal surfaces, Costa, ready to print, hands-on
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Matematicum 2012
Geometric AnalysisMinimal surfaces, Costa, hands-on
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Matematicum 2012
Geometric Analysis
Mini wind turbineProject by Ph.D. student Christina Beller, Risø DTU -:-
Wind turbines
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Matematicum 2012
Geometric AnalysisAutarkic mini wind turbines
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Matematicum 2012
Geometric AnalysisAutarkic mini wind turbines
The word "autarky" is from the Greek: αὐτάρκεια, which means "self-sufficiency"
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Matematicum 2012
Geometric AnalysisMini wind turbine
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Matematicum 2012
Geometric AnalysisMini wind turbine
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Matematicum 2012
Geometric AnalysisMini wind turbine, hands-on
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Matematicum 2012
Geometric Analysis
Wing sections and boomerangs
Flying and rotating
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Matematicum 2012
Geometric Analysis
MOINEAU PUMPSAn ESGI project from Grundfos A/S
Moineau pumps
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Matematicum 2012
MatematicumMoineau Pump Principle
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Matematicum 2012
MatematicumMoineau Pump Principle
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Matematicum 2012
Geometric AnalysisMoineau Pump Principle, hands-on
J. Gravesen: Spherical Curves for the design of conical Moineau pumps -:-
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Matematicum 2012
Geometric AnalysisEnd
Thank you for your attention!