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Tessellations of regular polygons can occur only when the external angle of a polygon is equal to a factor of 360. As such, the only tessellations of regular polygons can occur when the internal angles of a polygon are equal to a factor of 360. As such, the only regular polygons which tessellate are triangles, squares, and hexagons.

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Q: How many types of tessellations are?
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Related questions

Does the tessellation have eight different types of tessellation?

No, there are infinitely many types of tessellations.


How many different types of semiregular tessellations are there?

There are eight different types of semiregular tessellations. Also called Archimedean tessellations, they occur when two or more convex regular polygons form tessellations of the plane in a way each polygon vertex is surrounded by the same polygons and in the same order.


What are facts about tessellation?

Some facts on tessellations are that there are different types of tessellations such as regular and semi-regular. In tessellations, each vertex will have a sum of 360º which is what all of the angles should come out to.


What are the five main types of tessellations?

Tessellations are interesting and make for an interesting piece of art. There main types are normal tiling, monohedral tiling, isohedral tiling, penrose tiling, and voronoi tiling.


What types of art can be found in Muslim culture or society?

Mainly tessellations.


How many semi-regular tessellations are there?

there are 8 possible semi-regular tessellations :) hop i can helpp .


What types of symmetry create tessellations in a plane?

rotation, reflection, translation, glide reflection


How many tessellations did Escher do in his lifetime?

24 (apperently)


How are tessellations related to math?

Its trigonometry. Tessellations are shapes.


Who discovered tessellations?

Johannes Kepler discovered and studied tessellations.


What are shapes that fit together with no gaps called?

Shapes that fit perfectly together are called a tessellation.


What are the applications of tessellations?

According to my math textbook tessellations are prominent in Islamic art, Italian mosaics, quilts and ceramics. A very famous tessellation artist is M.C.Escher he created many paints, drawing, and prints using tessellations of interlocking animals. His art reflects the mathematics that underlies all things. Tessellations are frequently used in graphics arts and interior decorating. Since the Koran forbids the use of images of people or animals, many Muslim buildings are decorated with tessellations.