Transformations and Tessellations

tessellation

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Last week you learnt about Transformations – Reflections, Rotations, Translations and Dilations. Try this 2D Geometry tutorial with Jermaine to check that you understand what each of these terms mean. This week we will use these to create Tessellations – repeated shapes that create patterns that fill a space, without leaving any gaps. Tessellated tile verandahs were popular in houses of the Victorian and Edwardian periods. Using the Tessellations Creator find out which of the regular polygons (equilateral triangles, squares, regualr pentagons, hexagons etc) will tessellate. Check your answers at Tessellation: The Mathematics and Multimedia. Explore the world of Tessellations at www.tessellations.org and CoolMath.com.

15 thoughts on “Transformations and Tessellations

  • November 17, 2010 at 9:48 am
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    the one that can tesalate are 4,6,12

  • November 17, 2010 at 9:50 am
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    hexagons and triangles tesselate. 🙂

  • November 17, 2010 at 9:51 am
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    squares, trianges, hexagon

  • November 17, 2010 at 9:51 am
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    I learnt…..
    That triangles tessellate into a pattern
    That otigons and sqares tessellate into a pattern
    ……It was good……..

  • November 17, 2010 at 9:52 am
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    3,4 and 6 made the best shape’s by sophie

  • November 17, 2010 at 9:54 am
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    sqaures and triangles tessilate

  • November 17, 2010 at 9:54 am
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    Square,Triangle and Hexagon these three shapes make Tessellations.Every other shape has gaps.

  • November 17, 2010 at 9:55 am
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    I learnt that an octagon tesalates with sqrear and that triangles and sgures hagagon tesalate with themselfs

  • November 17, 2010 at 9:56 am
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    triangles, squares and hexagons tessalte the others don’t

  • November 17, 2010 at 9:56 am
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    the triangle the square the hexagon fills up the page because the edge of the shape. the rest of the shapes have to many edge which can’t fill in the page

  • November 17, 2010 at 12:02 pm
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    it was fun as triangles and squars and hexagons tesselated i tesselated triangles and squares

  • November 17, 2010 at 12:07 pm
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    Triangles, squares and hexagons tesselates 🙂

  • November 19, 2010 at 9:11 am
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    the triangles, squares and hexagons tessalte

  • November 19, 2010 at 9:12 am
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    The triangle, square and hexagon tessellate. The rest leave gaps.

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