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Tessellations and M.C.
Escher!
By: Victoria Gabrielli, and Kevin M.
L.O.- Students will learn about the
 Tessellations and M.C. Escher!


Do Now: What do you already know about the
  Tessellations and M.C. Escher?
MauritsCornel
      is
        Was born in
 Leeuwarden, Holland in
 1898, created unique and
fascinating work of art that
explore and exhibit a wide
   range of mathematical
ideas. When he was still in
 school his family wanted
  him to follow his fathers
career of archietecture, but
  he had poor grades and
really focused on drawing.
This led him to a crareer of
   graphic arts. His work
  wasn’t noticed until the
 1950s, but by 1956 he had
  given his first important
         exhibition.
Tessellation
   Is a regular division of the
    plane, that is arranged of
closed shapes that completely
      cver the plane without
     overlapping and without
   leaving gaps. The shapes
 making it up is a polygon or
 similar regular shapes, such
as the square tiles often used
on floors. Esher was fasinated
          by every kind of
     tessellation, regular and
    irregular. He took special
      delight which he called
  “Metamorphoses”, in which
 shapes change and interact
       with each other, and
somethimes brake free of the
Look at this Tessellation For an
 example, you can’t tell which
        way it is going!
Eshers Art Work!
 The regular solids, known as polyhedra, held a
  special fascination for Escher. He made them
  the subject of many of his works and included
  them as secondary elements in many more.
  There are only five polyhedra with exactly
  similar polygonal faces, and they are called the
  Platonic solids: the tetrahedron, with four
  triangular faces; the cube, with six square faces;
  the octahedron, with eight triangular faces; the
  dodecahedron, with twelve pentagonal faces;
  and the icosahedron, with twenty triangular
  faces. In the woodcut Four Regular
  Solids, Escher has intersected all but one of the
  Platonic solids in such a way that their
  symmetries are aligned, and he has made them
DoesPolygons
     Tessellate?

Questions!

In your own words, what do you
think the tessellation is about?
What lead MauritsCornelisEsher
to his career of graphic arts?
Answers!!
Video Time!

http://www.teachertube.com/viewVideo.php?vide
 o_id=81113&title=Tessellation
Bibliography!

 Http://www.mathacademy.com/p/minitext/Esch
  er

 Http://www.Wikipedia.com

 http://www.teachertube.com/viewVideo.php?vide
  o_id=81113&title=Tessellation

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Escher

  • 1. Tessellations and M.C. Escher! By: Victoria Gabrielli, and Kevin M.
  • 2. L.O.- Students will learn about the Tessellations and M.C. Escher! Do Now: What do you already know about the Tessellations and M.C. Escher?
  • 3. MauritsCornel is Was born in Leeuwarden, Holland in 1898, created unique and fascinating work of art that explore and exhibit a wide range of mathematical ideas. When he was still in school his family wanted him to follow his fathers career of archietecture, but he had poor grades and really focused on drawing. This led him to a crareer of graphic arts. His work wasn’t noticed until the 1950s, but by 1956 he had given his first important exhibition.
  • 4. Tessellation Is a regular division of the plane, that is arranged of closed shapes that completely cver the plane without overlapping and without leaving gaps. The shapes making it up is a polygon or similar regular shapes, such as the square tiles often used on floors. Esher was fasinated by every kind of tessellation, regular and irregular. He took special delight which he called “Metamorphoses”, in which shapes change and interact with each other, and somethimes brake free of the
  • 5. Look at this Tessellation For an example, you can’t tell which way it is going!
  • 6. Eshers Art Work!  The regular solids, known as polyhedra, held a special fascination for Escher. He made them the subject of many of his works and included them as secondary elements in many more. There are only five polyhedra with exactly similar polygonal faces, and they are called the Platonic solids: the tetrahedron, with four triangular faces; the cube, with six square faces; the octahedron, with eight triangular faces; the dodecahedron, with twelve pentagonal faces; and the icosahedron, with twenty triangular faces. In the woodcut Four Regular Solids, Escher has intersected all but one of the Platonic solids in such a way that their symmetries are aligned, and he has made them
  • 7. DoesPolygons Tessellate? 
  • 8. Questions! In your own words, what do you think the tessellation is about? What lead MauritsCornelisEsher to his career of graphic arts?
  • 11. Bibliography!  Http://www.mathacademy.com/p/minitext/Esch er  Http://www.Wikipedia.com  http://www.teachertube.com/viewVideo.php?vide o_id=81113&title=Tessellation