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Applied Maths

Applied Maths. Maths in the real world. Pure maths vs. Applied maths. Pure maths: Axioms Theorems Applied maths: What you know What is used in other disciplines. Applied Maths - the universal toolbox. Reality makes sense Maths makes sense Reality is mathematical.

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Applied Maths

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  1. Applied Maths Maths in the real world

  2. Pure maths vs. Applied maths Pure maths: • Axioms • Theorems Applied maths: • What you know • What is used in other disciplines

  3. Applied Maths - the universal toolbox • Reality makes sense • Maths makes sense • Reality is mathematical

  4. The truth is out there... • Maths in nature • Maths & aesthetics

  5. Fibonacci of Pisa Fibonacci’s sequence: 1, 1, 2, 3, 5, 8, 13, 21... Constructed by the addition of pairs of numbers within the sequence.

  6. You know this sequence like...

  7. A flower by any other number... Calla Lily

  8. Euphorbia

  9. Trillium

  10. Convolvulus

  11. Black-eyed Susan

  12. Water Lily

  13. Twist and count... Succulent Spirals: How many spirals make up the pattern?

  14. Counting Cones...

  15. Can you count them? Anti-clockwise: 34. Clockwise: 55

  16. Magic, Maths, or Mysterious Coincidence These organic patterns have been explained in terms of ‘packing’, where the greatest number of similar shapes can be fitted into the least space. Nature is an incessant whittler of inefficiency, and the most frugal user of its resources will be the one most likely to survive lean times, reproduce, and succeed.

  17. Molecular Maths At a molecular level Fibonacci spirals arise spontaneously in mutually repulsive silicon dioxide particles on a silver core. Differing amounts of stress placed on the microstructures lead to different Fibonacci spirals.

  18. Building beauty. This forms a very special shape – the Golden Section. The Golden Section or Golden ratio is said to be a natural shape that appears in nature, and art & architecture from around the world.

  19. Perfect Parthenon.

  20. Mayan Masonry

  21. Golden Ratio Spirals in nature As do some climbing plants Snail shells form a spiral of growth in the same ratio

  22. Art through the ages

  23. Activities Nature: Measuring shells Counting leaves Art: Perspective calculation (Alberti’s Algebra) The Brunelleschi method

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