Geometric shapes we see every day

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• Geometric shapes we see every day

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Mosaic Tile Patterns
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Tessellation Examples(Basic Polygons)
a tessellation of squares
a tessellation of hexagons
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Geometric Shapes
http//www.gogeometry.com/javacar/hinged_tessellat
ion_square_1.htm
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Tessellations Examples Complex Patterns
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Examples of Complex Tessellations Using Nonagons
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Paver Designs
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Unit Cell Concept

• Strictly speaking, a unit cell is a square with
  sides measuring one unit. However, for the
  purposes of tessellations, unit cells can either
  be a square, equilateral triangle, or regular
  hexagon. Notice that these are the polygons
  involved in regular tessellations which is not a
  coincidence. The technique of unit cells takes
  advantage of this property. Patterns are drawn
  inside unit cells so that when the unit cells are
  repeated in the manner of the regular
  tessellations, the patterns repeat to form a
  tessellation.

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Examples of Unit Cell Tessellations (Unit Square)
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Examples of Unit Cell Tessellations (Unit
Triangle)
http//library.thinkquest.org/16661/creating.other
/unit.2.htmlAnchor-Unit-60052
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Examples of Unit Cell Tessellations (Unit
Hexagon)
                                                
             The red, green, and blue dots on
the left indicate points which correspond and
line up when the hexagon is duplicated. The
resulting tiling is shown on the right.

• In a tiling of regular hexagons, opposite
  sides line up. In other words, sides 1 and 4 line
  up, sides 2 and 5 line up, and sides 3 and 6 line
  up.

                                                
                                                  
                      The white lines on the
right indicate the original pattern from the unit
hexagon.
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Polygon Cutout Links
http//library.thinkquest.org/16661/templates/regu
lar.4.l.html
http//library.thinkquest.org/16661/templates/regu
lar.8.l.html
http//library.thinkquest.org/16661/templates/comb
ination.l.html
http//library.thinkquest.org/16661/templates/regu
lar.12.l.html
http//library.thinkquest.org/16661/templates/regu
lar.6.l.html
http//library.thinkquest.org/16661/templates/regu
lar.3.l.html
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