Tessellation Project
Today we will discuss the requirements and
expectations for your Tessellation projects and
you will receive a brief introduction to the
different types of tessellations. This is an
individual project.
Tessellation Project
 Maurits Cornelis Escher (1898 – 1972) was a
Dutch artist famous for his repetitive,
interlocking pattern. His works look like
paintings but were done by woodcarving and
lithographs.
 Escher’s designs are made from variations on
tiling patterns called tessellations. A floor
covered by square tiles is an example of a
tessellation of squares.
Tessellations & Transformations
Tessellations can be modified by using
transformations. As you know,
transformations are movements of
geometric figures. One transformation,
commonly used to create tessellations is
a slide, or translation, of a figure.
Translation Tessellations
For simple translation tessellations, polygons should have
opposite sides that are parallel and congruent – squares,
hexagons, parallelograms.
Example: Translation Tessellation
You can create more complex designs starting with
square tessellations and making changes on both
pairs of sides.
Depending how you
decide to color your
tessellation, a very
simple design can
have a very creative
result.
Glide Reflection Tessellation
For glide reflection tessellations, polygons should have
opposite sides that are parallel and congruent – squares,
hexagons, parallelograms.
Example
By reflecting and gliding
over more than one side, you
can create a more complex
tessellation.
Adding coloring and features will enhance the artwork.
Tessellation created by Rotation
Adjacent sides must be congruent – squares, equilateral
triangles, regular hexagons, rhombi
Midpoint Rotations
 Triangles, Squares, and Quadrilaterals
Note: More than one side may be altered for more challenging designs. Coloring
one side of the pattern will help prevent accidental flipping during tracing.
Example:
Rotational
Tessellation
Suggestions
 READ THE PACKET first before trying your
tessellation. There is a lot of good information in the
packet that will help you in deciding on which type
of tessellation to do and in creating your tessellation.
 A template that is approximately 2 inches by 2
inches will work well to create an 8 ½ by 11 inch
tessellation.
Suggestions
 Try out several designs, by cutting and taping paper
together until you find something you like.
 When you have decided on a design, create your
template on a stiff material – heavy cardstock or a
file folder seem to work well for creating a sturdy
template that can be traced over and over.
 Be creative. Your design should not look like any of
the designs in the packet or in this presentation.
 Remember: Finding a design online and copying it
is plagiarism.
Tessellation Project
 Your project is due on WEdnesday, January
30th
at the beginning of class. Grading criteria
is in your packet.
 On the due date, you must turn in your
completed tessellation, your template.
 Do NOT wait until the last minute!!!!!
Tessellation Project High School Geometry

Tessellation Project High School Geometry

  • 1.
    Tessellation Project Today wewill discuss the requirements and expectations for your Tessellation projects and you will receive a brief introduction to the different types of tessellations. This is an individual project.
  • 2.
    Tessellation Project  MauritsCornelis Escher (1898 – 1972) was a Dutch artist famous for his repetitive, interlocking pattern. His works look like paintings but were done by woodcarving and lithographs.  Escher’s designs are made from variations on tiling patterns called tessellations. A floor covered by square tiles is an example of a tessellation of squares.
  • 3.
    Tessellations & Transformations Tessellationscan be modified by using transformations. As you know, transformations are movements of geometric figures. One transformation, commonly used to create tessellations is a slide, or translation, of a figure.
  • 4.
    Translation Tessellations For simpletranslation tessellations, polygons should have opposite sides that are parallel and congruent – squares, hexagons, parallelograms.
  • 5.
    Example: Translation Tessellation Youcan create more complex designs starting with square tessellations and making changes on both pairs of sides.
  • 6.
    Depending how you decideto color your tessellation, a very simple design can have a very creative result.
  • 7.
    Glide Reflection Tessellation Forglide reflection tessellations, polygons should have opposite sides that are parallel and congruent – squares, hexagons, parallelograms.
  • 8.
    Example By reflecting andgliding over more than one side, you can create a more complex tessellation.
  • 9.
    Adding coloring andfeatures will enhance the artwork.
  • 10.
    Tessellation created byRotation Adjacent sides must be congruent – squares, equilateral triangles, regular hexagons, rhombi
  • 11.
    Midpoint Rotations  Triangles,Squares, and Quadrilaterals Note: More than one side may be altered for more challenging designs. Coloring one side of the pattern will help prevent accidental flipping during tracing.
  • 12.
  • 14.
    Suggestions  READ THEPACKET first before trying your tessellation. There is a lot of good information in the packet that will help you in deciding on which type of tessellation to do and in creating your tessellation.  A template that is approximately 2 inches by 2 inches will work well to create an 8 ½ by 11 inch tessellation.
  • 15.
    Suggestions  Try outseveral designs, by cutting and taping paper together until you find something you like.  When you have decided on a design, create your template on a stiff material – heavy cardstock or a file folder seem to work well for creating a sturdy template that can be traced over and over.  Be creative. Your design should not look like any of the designs in the packet or in this presentation.  Remember: Finding a design online and copying it is plagiarism.
  • 16.
    Tessellation Project  Yourproject is due on WEdnesday, January 30th at the beginning of class. Grading criteria is in your packet.  On the due date, you must turn in your completed tessellation, your template.  Do NOT wait until the last minute!!!!!