Post on 23-Feb-2016
description
Applied MathsMaths 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
The truth is out there...Maths in nature
Maths & aesthetics
Fibonacci of PisaFibonacci’s sequence:
1, 1, 2, 3, 5, 8, 13, 21...
Constructed by the addition of pairs of numbers within the sequence.
You know this sequence like...
A flower by any other number...
Calla
Lily
Euph
orbi
a
Trilli
um
Conv
olvu
lus
Blac
k-ey
ed S
usan
Wat
er L
ily
Twist and count...
Succulent Spirals:
How many spirals make up the pattern?
Counting Cones...
Can you count them?
Anti-clockwise:34.Clockwise:55
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.
Molecular MathsAt 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.
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.
Perfect Parthenon.
Mayan Masonry
Golden Ratio Spirals in nature
Snail shells form a spiral of growth in the same ratio
As do some climbing plants
Art through the ages
ActivitiesNature: Measuring shells
Counting leaves
Art: Perspective calculation(Alberti’s Algebra)The Brunelleschi
method