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DIDAVISION


GEOMETRY IN OUR LIVES � Part II


GEOMETRY IN OUR LIVES  Part II
GEOMETRY IN OUR LIVES Part II

The number PHI Φ.The Fibonacci Series. The Egyptians and the Greeks. Fractals. Topology.


- A mysterious numberthe golden section, ratio or mean is everywhere
- The golden number: PHI Φ . The most remarkable properties.

The Golden number in art and design
- The pyramid of Kheops
- The Greeks knew the golden number and used it profusely in temples and sculptures
- Phidias the famous Greek sculptor
- Use of the number Phi Φ by artists, painters, architects and sculptors (Leonardo da Vinci, Michael Angelo, etc. )
- Le Corbusier and the golden number
- The golden number and other artistic expressions such as poetry and music.
- The musical notes of the Sol-Fa musical scale and the golden number
- The mythical Stradivarius violins and the golden number
- The Pentagon and the Phi Φ
- Todays logos design and the golden number
- The golden number and the Fibonacci Series

The Golden Number in nature
- Nature: the Kingdom of Phi Φ
- The Sunflowers
- The spikes of common pineapples
- The number of petals in many flowers
- The branches and leaves of plants
- Influence of the golden number in the growth of shellfish
- Growth of the horns of some ruminants
- The shape of tropical cyclones and spiral galaxies
- The human body

Fractals
- Traditional forms of Euclidean geometry (rectangles, circumferences, polygons, etc.)
- What are fractals?

Applications of fractals
- How to obtain a fractal
- The Mandelbrot Set
- Fractal: the geometry of nature
- Fractal structures
- The use of fractal geometry
- Applications of fractals in medicine

Rubber Sheet Geometry
- What is Topology?
- Circumference and a lemniscate

The Graph Theory
- Leonhard Euler and the origins of topology
- Applications of the theory of Graph: telecommunications networks: fixed phones and cell pones, Internet, digital TV, etc.
- Applications of the theory of Graph in the study of the urban and interurban transport networks, bus and metro networks
- Electrical circuits
- Changing our perspective slightly to discover that numbers and geometric shapes are more intimately linked to us than wed ever imagined

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