How
to Create a Tessellation
What to do:
1.
Begin by
creating a “template” using at least 1 of the nibbling methods. Be sure to
label all the pieces.
2.
Once the
template has been created, place your template at any of the four corners of
your graph paper and trace your first figure. The squares on the graph paper
should align with the original square you started with, and therefore your
template may hang off the edge of the paper.
3.
Once your
figure has been traced slide it or reflect it and trace your next figure
(whether you reflect for slide it depends on the nibbling technique you used)
4.
Continue
step 3 until the entire page is covered. All your figures on the paper should
fit together so that it looks like a puzzle. Figures at the edge will only be
partial images
5.
Once you
have the page covered in your tessellation, begin to add color in the figure.
6.
Be creative
and have fun with the project!
Creating Your Template:
Method 1- The nibbling technique for geometric transformations:
1.
Begin with a
square and design from one corner of the square to an adjacent corner. (Do not
draw diagonally). Do not stop halfway across!
2.
Cut on the
design line, being sure to have 2 pieces when done -the nibble and the rest of
the sheet. There should be no other pieces lying around. This is very
important! No trimming allowed.
3.
Slide the
nibble across the sheet to the opposite side and tape the straight edges
together. (Do not attach it to an adjacent edge. Do not flip the nibble around.
Do not overlap the edges when taping.) The corners of the piece and the nibble
should match perfectly.
4.
Repeat the
procedure for the other sides
Method 2- The Rotating and nibbling technique for
geometric transformations:
1.
Begin with a
rectangle and design from one corner of the rectangle to an adjacent corner.
(Do not draw diagonally). Do not stop halfway across!
2.
Cut on the
design line, being sure to have 2 pieces when done -the nibble and the rest of
the sheet. There should be no other pieces lying around. This is very
important! No trimming allowed.
3.
Instead of
sliding the nibble, rotate the nibble at its end point to an adjacent side of
their square (not an opposite side). Mark your point of rotation and tape the
straight edges together. (Do not overlap the edges when taping.) The corners of
the piece and the nibble should match perfectly.
4.
Repeat the
procedure for the other sides
Creating a Tessellation Using Reflections:
1.
Select any
figure you want to use as your pattern (can use a figure from the nibbling methods
or a combination of both).
2.
Then reflect
or “flip” the figure repeatedly vertically (over the y-axis).
3.
Once you
have a row of “flips”, take that row and reflect it horizontally (over the
x-axis)
4.
Continue
Steps 2 and 3 until your paper is covered.
http://www.fuhsd.net/view/3198.pdf
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