tessellations and art
Skip this Video
Download Presentation
Tessellations and Art

Loading in 2 Seconds...

play fullscreen
1 / 19

Tessellations and Art - PowerPoint PPT Presentation

  • Uploaded on

Tessellations and Art . Student Support Services. What is a Tessellation?. It is a tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps. Types of Tessellations. Regular Tessellations Semi-regular Tessellations. Regular Tessellations.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

PowerPoint Slideshow about 'Tessellations and Art' - mike_john

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
tessellations and art

Tessellations and Art

Student Support Services

what is a tessellation
What is a Tessellation?
  • It is a tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps
types of tessellations
Types of Tessellations
  • Regular Tessellations
  • Semi-regular Tessellations
regular tessellations
Regular 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.

There are only 2 polygons that will work for regular Tessellations and those are equilateral triangle, hexagon, and a square.

semi regular tessellation
Semi-regular Tessellation
  • They are made using two or more different regular polygons.
tessellations and math
Tessellations and Math
  • Tessellations use symmetry in Math.
  • Symmetry means that at least one pattern is unchanged.
  • There are four types of Symmetry in the plane.
types of symmetry in math
Types of symmetry in Math
  • Rotations
  • Translations
  • Reflections
  • Glide reflections
  • To rotate an object means to turn it around a point at a certain angle. This point is called the center of rotation.
  • To translate an object means to move it without rotating or reflecting it. Every translation has a direction and a distance.
  • 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".
glide reflection
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.
a few uses of symmetry
A few uses of symmetry
  • Patterns for shoe bottoms.
  • Parking lot design.
  • Design color pattern for neckties and t-shirts.
  • Design wallpaper for interior decoration
how is tessellations used in art
How is Tessellations used in Art?

First, the artist will cut out a shape and then will decide what this particular shape looks like. For example, what does this look like?

tessellations and art14
Tessellations and Art

Then the artist tessellated it.

tessellations and art15
Tessellations and Art

He thought it looked like a house so he colored it in like this:

tessellations and art16
Tessellations and Art

Here is another example. What does this look like?

tessellations and art17
Tessellations and Art

This is what the artist saw and how he tessellated it.

tessellations and art18
Tessellations and Art

You can also take a shape, tessellate it and then color it in, like this:

tessellations and art19
Tessellations and Art

Now it is your turn! We are going to be doing one like the previous one we just saw. Have fun!