Application of geometry in robotics
The robot motion planning uses a subarea of computational geometry that focuses on the control of robot movement.
The word 'geometry' derives from the Greek words 'for earth' (geo) and 'to measure' (metron). Euclid (325 BC) is known as the Father of Geometry and is famous for his works called "The Elements". Euclid set forth the first known axiomatic treatment of geometry. Hence, Plane Geometry is also known as Euclidean Geometry.
The world is built of shape and space, and geometry is its mathematics. Geometry, branch of mathematics, is the study of the size, shape and position of two dimensional shapes and three dimensional figures. However, geometry is used daily by almost everyone.
In mathematics, a plane is a flat, two-dimensional surface. A plane is the two dimensional analogue of a point (zero-dimensions), a line (one-dimension) and a space (three-dimensions). Plane Geometry is about flat shapes like lines, circles, triangles, etc. which can be drawn on a piece of paper. Solid Geometry is about three dimensional objects like cubes, prisms and pyramids.
Geometry is in nature. Ex: proportions of the human body, shape of a shell and so on. Not only in nature, geometry is found everywhere: in art, architecture, engineering, robotics, land surveys, astronomy and many more.
In geometry, one explores spatial sense and geometric reasoning. When tackling geometry, spatial reasoning and problem solving skills will be developed.
Geometry is linked to many other topics in math, specifically measurement. In the early years of geometry the focus on shapes and solids. Later it shifted to properties and relationships of shapes and solids. As abstract thinking progressed, geometry became more about analysis and reasoning.