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what is the difference between regular and semi regular tessellations

by Keagan Daugherty DVM Published 4 years ago Updated 2 years ago

There are three different types of tessellations ( source ):

  • Regular tessellations are composed of identically sized and shaped regular polygons.
  • Semi-regular tessellations are made from multiple regular polygons. ...
  • Meanwhile, irregular tessellations consist of figures that aren't composed of regular polygons that interlock without gaps or overlaps. ...

Regular tessellations of the plane by two or more convex regular polygons such that the same polygons in the same order surround each polygon vertex
polygon vertex
The points where two edges meet are the polygon's vertices (singular: vertex) or corners. The interior of a solid polygon is sometimes called its body.
https://en.wikipedia.org › wiki › Polygon

Polygon - Wikipedia

 are called semiregular tessellations, or sometimes Archimedean tessellations.

Full Answer

Which best describes a semi-regular tessellation?

A regular tessellation is a design covering the plane made using 1 type of regular polygons. A semi-regular tessellation is made using 2 or more types of regular polygons. With both regular and semi-regular tessellations, the arrangement of polygons around every vertex point must be identical.

What does semiregular tessellation mean?

Wiktionary (0.00 / 0 votes) Rate this definition: semiregular tessellation noun. A tessellation of the plane by two or more different convex regular polygons.

How many semi regular tessellations are possible?

Semi-regular Tessellations. A semi-regular tessellation is made of two or more regular polygons.The pattern at each vertex must be the same! There are only 8 semi-regular tessellations:

What can be used to make a regular tessellation?

What is the easiest way to make a tessellation?

  • Cut out a rectangle out of an index card or poster board.
  • Draw a line from one side to the opposite side.
  • Cut along the line you drew and interchange the pieces.
  • Draw another line on the resulting figure in a perpendicular direction to the first line.
  • Cut along the line you just drew and interchange the pieces.

What is the difference between regular tessellations semi-regular tessellations and irregular tessellations?

Semi-regular tessellations are made from multiple regular polygons. Only eight combinations of regular polygons create semi-regular tessellations. Meanwhile, irregular tessellations consist of figures that aren't composed of regular polygons that interlock without gaps or overlaps.Feb 4, 2016

What is semi-regular tessellations?

A semi-regular tessellation is one consisting of regular polygons of the same length of side, with the same 'behaviour' at each vertex. By this we mean that the polygons appear in the same order (though different senses are allowed) at each vertex.Nov 3, 2016

What is regular tessellation?

A regular tessellation is one made using only one regular polygon. A semi-regular tessellation uses two or more regular polygons. Triangles and squares, for example, form regular tessellations and octagons and squares for a semi-regular tessellation.Apr 5, 2020

How do you know if a tessellation is semi-regular?

A tessellation is a geometric pattern of shapes that repeats itself. There are a lot of tessellations; however, there are only eight semi-regular-tessellations. A semi-regular tessellation is made up of two or more regular polygons, which have equal sides and angles that are arranged the same at every vertex.

What are the 3 types of tessellations?

There are three types of regular tessellations: triangles, squares and hexagons.

Why are there only 8 semi-regular tessellations?

The reason there are only eight semi-regular tessellations has to do with the angle measures of various regular polygons.

How do you name a semi-regular tessellation?

Semi-regular tessellations

Each semi-regular tessellation is named for the number of sides of the shapes surrounding each vertex. For example, for the first tiling below, each vertex is composed of the point of a triangle (3 sides), a hexagon (6), another triangle (3) and another hexagon (6), so it is called 3.6.Mar 3, 2015

How many types of semi-regular tessellations are there?

8 semi-regular tessellations
There are 8 semi-regular tessellations in total. We know each is correct because again, the internal angle of these shapes add up to 360.

Why are there only 3 regular tessellations?

2. Which regular polygons will tessellate on their own without any spaces or overlaps? Equilateral triangles, squares and regular hexagons are the only regular polygons that will tessellate. Therefore, there are only three regular tessellations.

Can you create a regular tessellation with a regular pentagon?

We have already seen that the regular pentagon does not tessellate. A regular polygon with more than six sides has a corner angle larger than 120° (which is 360°/3) and smaller than 180° (which is 360°/2) so it cannot evenly divide 360°.Jul 13, 2017

What is not a semi-regular tessellation?

There are eight semi-regular tessellations which comprise different combinations of equilateral triangles, squares, hexagons, octagons and dodecagons. Non-regular tessellations are those in which there is no restriction on the order of the polygons around vertices. There is an infinite number of such tessellations.

What does semi-regular basis mean?

Somewhat regular; occasional.

Triominoes

A triomino is a flat L shape made from 3 square tiles. A chess board is marked into squares the same size as the tiles and just one square, anywhere on the board, is coloured red. Can you cover the board with trionimoes so that only the square is exposed?

LOGO Challenge 5 - Patch

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

LOGO Challenge - Triangles-squares-stars

Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

image

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