Table of Contents
Tessellation forms a pattern by repeatedly arranging tiles or shapes without gaps or overlays between the shapes – think mosaic pattern tiles and how jigsaw puzzles interlock. A tile refers to the repeating tessellation shape.
What are the properties of tessellations?
What are Tessellations?
- RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.
- RULE #2: The tiles must be regular polygons – and all the same.
- RULE #3: Each vertex must look the same.
What is tessellations in nature?
Tessellations form a class of patterns found in nature. Distinct shapes are formed from several geometric units (tiles) that all fit together with no gaps or overlaps to form an interesting and united pattern.
Where is tessellation used in real life?
Tessellations can be found in many areas of life. Art, architecture, hobbies, and many other areas hold examples of tessellations found in our everyday surroundings. Specific examples include oriental carpets, quilts, origami, Islamic architecture, and the are of M. C.
How is tessellation used in nature?
Tessellations form a class of patterns found in nature. The arrays of hexagonal cells in a honeycomb or the diamond-shaped scales that pattern snake skin are natural examples of tessellation patterns.
What are some real life examples of tessellations?
Real Life Applications of Tessellations. Tessellations can be found in many areas of life. Art, architecture, hobbies, and many other areas hold examples of tessellations found in our everyday surroundings. Specific examples include oriental carpets, quilts, origami, Islamic architecture, and the are of M. C. Escher.
What are some famous tessellations?
Some of the most famous tessellations are the Moorish wall tiles of Islamic architecture. In 1519, Johannes Kepler became the first person to complete a study of tessellations after he explored the hexagonal structure of honeycombs and snowflakes.
What are facts about tessellation?
History of Tessellations. The word ‘tessellation’ is derived from the Latin word tessella,which means a small cubical piece of clay,glass,or stone.
What do tessellations have to do with maths?
A tessellation is defined a repeating pattern made of one or more shapes, without the formation of gaps or overlaps. As an art form, tessellation is particularly rich in mathematics, with ties to geometry, topology and group theory. The simplest types of tessellation are referred to as regular tessellations.