This document discusses different types of patterns found in nature and their definitions. It covers symmetry patterns like bilateral, mirror, radial and rotational symmetry. It also discusses fractals and their repeating patterns at every scale, as well as Fibonacci spirals emanating from a central point. Additionally, it examines common shapes like circles, spheres, hexagons and cones, providing their definitions.

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