Examples range from the simple hexagonal pattern of the bees' honeycomb or a tiled floor to the intricate decorations used by the Moors in thirteenth century Spain or the elaborate mathematical, but artistic, mosaics created by Maurits Escher this century. Many of the movements we see and experience are examples of translation.Patterns covering the plane by fitting together replicas of the same basic shape have been created by Nature and Man either by accident or design. We encounter translation on a daily basis. They make it easy to move items from one point to another along the production line.Īn item on the conveyor belt moves along a horizontal plane without changing its shape, size or orientation. Conveyor beltsĬonveyor belts are a common feature in production lines. The glass does not change in size, shape or orientation as it slides across the bar. One common trick bartenders use in serving drinks is to slide glasses across the bar.Īs the glass slides across the bar it is moving along a horizontal plane. These tricks can be quite entertaining to patrons. Bartender sliding a glass across the barīartenders have lots of tricks up their sleeves. If you are walking up the stairs, you will be moving along both vertical and horizontal planes. If you are walking from one end of the room to another along a level floor, the movement is only along the horizontal plane. When you are standing in one place and walk to another location a few steps away, you are performing a translation as long as you do not turn around. The plane must maintain its course and orientation to avoid accidents. This movement does not involve a change in orientation, shape or size of the plane. The same movement is seen when the plane is landing. They also move along a vertical plane as they begin to lift off into the air. Planes taking off move along a horizontal plane. A plane taking off or landing on a runway The patterns are achieved by displacement of bricks horizontally and vertically without changing the size, shape or orientation of the bricks. The pattern of the bricks is a good example of translation. A brick wallīrick walls are an attractive feature in a home or any other building. There is no change in the size, shape or orientation of the stairs as they move up or down. They are also moved along a horizontal plane. When a person climbs aboard an escalator stair, they are moved up or down along a vertical plane. Sliding on a slideĮscalators are designed to help people from one floor to another with greater ease. This movement is an example of horizontal translation.Ĭars moving along an uphill or downhill street will also exhibit vertical as well as horizontal changes in position. When they move from one point in the street to another, they change position without changing their orientation, shape or size. Cars driving along a streetĬars driving along a street move along a horizontal plane.
Translation is used in aircraft navigation to ensure aircrafts keep to their course and avoid accidents such as mid-air collisions with other aircrafts. There is no change in shape, size or orientation of the airplane as it moves from one point in the sky to another. Airplanes flying across the skyĪirplanes move along a horizontal plane as they move across the sky. There is no change in their shape, size or orientation during the movement.Įlevators therefore apply translation in their movement. ElevatorsĮlevators are used to move people and other objects from one floor to another.Įlevators move up and down along a vertical plane. Let’s explore examples of translation in real life. In many instances, translations involve both vertical and horizontal movements. Positive values represent vertical movements upward and negative values represent movements down the vertical plane. Shapes can also move along a vertical plane. Negative values represent horizontal movements from right to left. Shapes can move along a horizontal plane i.e. Every point in the object is moved the same distance in the same direction.
The shapes simply move to a new position. However, the change does not involve changing in the size of the shape or the direction in which it faces. This movement involves the changing of the position (or coordinates) on a plane. It is the movement of a shape from one place to another. Translation is a type of transformation that we encounter daily in real life.
There are different types of transformations. In mathematics, movements through space are known as transformations. Walking, running, and turning are all types of movement.
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