SHAPES

Geometry is the branch of mathematics that describes shapes.

Geometry can be divided into:

Plane Geometry is about flat shapes like lines, circles and triangles ... shapes that can be drawn on a piece of paper.

Solid Geometry is about three dimensional objects like cubes, prisms, cylinders and spheres.

There are two main types of solids, "Polyhedra", and "Non-Polyhedra":

A polyhedron is a solid with flat faces (from Greek poly- meaning "many" and -edron meaning "face").

Non-Polyhedra is a solid, witch any surface is not flat

Sphere: A sphere is a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball.

The shape of the Earth is very close to that of an oblate spheroid, a sphere flattened along the axis from pole to pole such that there is a bulge around the equator.

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

For a beehive, close packing is important to maximise the use of space. Hexagons fit most closely together without any gaps; so hexagonal wax cells are what bees create to store their eggs and larvae. 

Cones: 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.

Volcanoes form cones, the steepness and height of which depends on the runniness (viscosity) of the lava. Fast, runny lava forms flatter cones; thick, viscous lava forms steep-sided cones.

Parallel lines: In mathematics, parallel lines stretch to infinity, neither converging nor diverging.

These parallel dunes in the Australian desert aren't perfect - the physical world rarely is.

Fibonacci spiral: If you construct a series of squares with lengths equal to the Fibonacci numbers (1,1,2,3,5, etc) and trace a line through the diagonals of each square, it forms a Fibonacci spiral.

Many examples of the Fibonacci spiral can be seen in nature, including in the chambers of a nautilus shell.

Watch the video to know how to draw

Fibonacci Spiral