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James Hurring

James Hurring

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James Hurring

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  1. The Mathematics of Origami James Hurring

  2. Surds and A4 paper • What is the area of the kite? • What is the ratio of the diagonals of the kite? • What is the perimeter of the kite? • What is the ratio of the sides of the small rectangle?

  3. Folding paper into Thirds and Fifths (Coordinate Geometry)

  4. Folding a Hyperbolic Paraboloid (Complex roots of quadratics)

  5. Folding Conic Sections

  6. Folding Conic Sections

  7. Angle Rules with a Triangle (Geometric Reasoning)

  8. The Axioms of Folding

  9. Folding a 60o Angle

  10. Trisecting an Angle

  11. Making a simple protractor

  12. Doubling a cube Start by folding into thirds

  13. Folding Pentagons (Geometric Reasoning)

  14. 3-D Right-angled Triangles

  15. Analysing the Crease pattern for Great Icosahedron (Non-right-angled Trigonometry)

  16. Hamiltonian Graphs • Edge models of Polyhedra • (Colouring the edges)

  17. Experimental Probability

  18. Graphs & Patterns

  19. Polyhedra Euler’s Rule Vertex Deficiency and 720o