Mathematics in Nature presented by St. George's School shows how mathematical patterns like fractals appear throughout nature in mountains, rivers, clouds, and hydrothermal springs. It discusses Euclid's calculation of the golden ratio and how artists like Da Vinci and Mondrian incorporated the golden ratio and Fibonacci sequence into works like the Mona Lisa, Parthenon, and Broadway Boogie Woogie. The presentation also notes how the golden ratio appears in biology through dolphin flippers, the nautilus shell, the cochlea of the inner ear, and the proportions of Da Vinci's Vitruvian Man.

1. Mathematics in Nature
Presented By: St.George’s School, Alaknanda

3. Fractals Mountains, Tibet Fractal Rivers in Savannah, Georgia
Fractal Patterns in a Hydrothermal Spring Fractals in Clouds

5. Levy patterns of Sharks

6. EUCLID OF ALEXANDRIA CALCULATION OF GOLDEN RATIO

7. MONA LISA – Da VinciPARHTENON
Broadway Boogie Woogie- Mondrean

8. RELATION BETWEEN GOLDEN RATIO
AND FIBONACCI SEQUENCE
FIBONACCI SPIRAL

10. DOLPHINS
NAUTILUS SHELL

11. COCHLEA: Inner Ear
VITRUVIAN MAN: Da Vinci
Ratio between forearm and handGolden ratio in finger bones