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Review of Tessellations

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(rotation, translation, reflection, glide reflection) that leaves the ... Glide reflections are the only type of symmetry that involve more than one step. ... – PowerPoint PPT presentation

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Title: Review of Tessellations


1
Review of Tessellations
2
The definition of a tessellation
  • The word "tessellate" is derived from the Ionic
    version of the Greek word "tesseres," which in
    English means "four." The first tilings were made
    from square tiles.

3
A regular tessellation means a tessellation
made up of congruent regular polygons.
4
You can easily figure out the angle measures of a
regular polygon
because you know that the interior angles around
a vertex must be 360 degrees
90909090360
and each interior angle of a regular polygon is
congruent!
5
Did you know
There are 4 types of symmetry used to create
tessellations.
A pattern is symmetric if there is at least one
symmetry (rotation, translation, reflection,
glide reflection)that leaves the pattern
unchanged.
6
Rotation
To rotate an object means to turn it around.
Every rotation has a center and an angle.
7
Translation
To translate an object means to move it without
rotating or reflecting it. Every translation has
a direction and a distance.
8
Reflection
To reflect an object means to produce its mirror
image. Every reflection has a mirror line. A
reflection of an "R" is a backwards "R".
9
Glide Reflection
A glide reflection combines a reflection with a
translation along the direction of the mirror
line. Glide reflections are the only type of
symmetry that involve more than one step.
10
Tessellations are everywhere in the world!
The work of M.C. Escher is a great example Of how
tessellations can appear in art.
11
Click here to take the quiz.
Click on the following link for more Information
about tessellations.
http//mathforum.org/sum95/suzanne/tess.intro.html
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