What is the history of tessellations?
Tessellations were used by the Sumerians (about 4000 BC) in building wall decorations formed by patterns of clay tiles. Decorative mosaic tilings made of small squared blocks called tesserae were widely employed in classical antiquity, sometimes displaying geometric patterns.
What is the math behind tessellations?
In a tessellation, whenever two or more polygons meet at a point (or vertex), the internal angles must add up to 360°. Only three regular polygons (shapes with all sides and angles equal) can form a tessellation by themselves—triangles, squares, and hexagons.
Who discovered tessellation in mathematics?
While we will never know who put together the first tessellation, the work of Dutch graphic artist M. C. Escher and mathematician Sir Roger Penrose brought attention to the concept. Tessellations in art are usually shapes, patterns or figures that can be repeated to create a picture without any gaps or overlaps.
Why are tessellations important in math?
Since tessellations have patterns made from small sets of tiles they could be used for different counting activities. Tiles used in tessellations can be used for measuring distances. Once students know what the length is of the sides of the different tiles, they could use the information to measure distances.
Where were the first tessellations found?
Tessellations were first found in the Sumerian Civilization at approximately 4000 B.C, where people used tessellation designs built from harden clay to construct and decorate the walls of temples and homes.
How are tessellations used in the real world?
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. Oriental carpets hold tessellations indirectly.
Who is the father of tessellations?
Escher
Sometimes referred to as the “father of modern tessellations,” Escher commonly used geometric grids to form intricate interlocking designs. His series Regular Division of the Plane (begun in 1936) is a collection of his tessellated drawings, many of which feature animals.
Where are tessellations used?
Nowadays tessellations are used in the floors, walls and ceilings of buildings. They are also used in art, designs for clothing, ceramics and stained glass windows.
What are the importance of tessellation in different areas?
Answer: Tiles used in tessellations can be used for measuring distances. Once students know what the length is of the sides of the different tiles, they could use the information to measure distances. The tiles could be used to talk about perimeter.
What are tessellations used for?
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.
How do you explain tessellations?
Tessellation
- A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.
- A regular tessellation is a pattern made by repeating a regular polygon.
- A semi-regular tessellation is made of two or more regular polygons.