Math in Nature

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1. Math In Nature

2. Patterns: Patterns are things that are arranged following a rule or rules. There are different kinds of patterns in nature.

3. 1. Symmetry: Definition: Symmetry means that one shape becomes exactly like another when you move it in some way: turn, flip or slide.

4. Bilateral and Mirror Symmetry

5. Radial and Rotational Symmetry

6. Five-fold and Six-fold Symmetry

7. 2. Fractals: Definition: A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry.

8. Fractals

9. 3. Fibonacci Spirals: Definition: A spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point.

10. Fibonacci Spirals

11. Shapes: Shape defines the form of an object.

12. 1. Circles and Spheres: Definition: A circle is a simple closed shape in Euclidean geometry. A sphere is a perfectly round geometrical object in three dimensional spaces.

13. Circles and Spheres

14. 2. Hexagons: Definition: Hexagons are six-sided polygons, closed, two dimensional, many-sided figures with straight edges.

15. Hexagons

16. 3. Cones: Definition: A cone is a three-dimensional geometric shape that tapers smoothly from a flat, usually circular base to a point called the apex or vertex.

17. Cones