Mathematical Sculpture

Algebra and geometry of sculpting

• Algebraic sculpture
  • Spatial symmetries
  • Transformations and modular sculptures
  • Boolean sculptures
• Geometric sculpture
  • Polyhedral sculpture
  • Curved surfaces
  • Quadric, revolution & ruled surfaces
  • Minimal and zero-mean surfaces
  • Non-oriented surfaces
• Virtual reality modelling
  • Free-form 3d sculpting
  • Motion visualization
  • Rule-based sculpting

Discussion

• The Beauty Mathematics: Math & Art (Rinus Roelofs)
• From Mathematics to Sculpture (George Hart)
• Classification of Mathematical Sculpture (Ricardo Zalaya & Javier Barrallo)
• Sculpting Wawes in Wood and Time (Reuben Margolin)
• Design of 3D Printed Mathematical Art (Henry Segerman)
• Fresh Off the 3D Printer: Henry Segerman’s Mathematical Sculptures (Megan Gambino)

Assignment

Generative sculpting

Blender – K3D Surf – EditSDF – MathMod – POV-Ray – SculptGL – Surfer – TopMod

 

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