FRACTALS BY HAND

Coloring a fractal by hand is a great team activity because the overall pattern of the fractal is only seen as the pieces are put together. In the links below you'll find the color-by-number style instructions to make a fractal by coloring 10-by-10 gridded squares.


TAMU Math Dept. Research Experience for Undergraduates 2009.
(back left) Jeremy Brooks, Lia Weinner, Jay Walton, Becky Patrias, May Boggess, Daniel Poore, Madeline Wyse, Stephen Rowe, David Patillo.
(front left) Annchen Knott, Shelly Herbrich, Rebecca Wei, Danielle Schroeder.

Mandelbrot - The classic Mandelbrot Set image.

Close Encounters - Pictured above.

Dragon

Flower

Fern

INSTRUCTIONS

Print the one-page grided squares then photocopy as many as you need. One inportant trick here is to photocopy with the copier on the lightest possible setting, otherwise the lines are rather dark and show too mch on the finished product.

Print the color instructions squares (one sided) and cut into squares. I paper clip them together by column as it makes it easier to check what has been colored and what has not been colored later on.

Buy the biggest poster board you can at a store like Hooby Lobby or Micheals. I go to the framing section and can get a their largest size (which does fit in the back of my tiny car) for $10. Use a pencil (not too dark) ule outlines of the squares on thick white poster board, labeling the rows and columns, so you'll know where to glue the squares once they have been colored. The rows are numbered (0=bottom) and are columns lettered (A=left).

When you have decided which numbers are which colors, label your pencils with the number (sticky taping the number on the end works nicely). I have found that about 4 sets of pencils in enough for a group of 16 or so.

On the day, have pencil sharpeners and scissors handy. A glue stick is OK for sticking the colored squares on the poster board. Don't go too heavy on the glue at first because you may have to pull them off to correct their position.

Once all the squares are glued on you'll notice many different coloring styles. Go over any of the lighter squares, coloring more firmly. You will also need to color where the squares join together just to neaten it up.

To finish, paint over the entire thing with clear stuff to protect the finished coloring. I use a satin finish of a product that looks like it is meant for decoupage. I water it down just a touch so that it is not quite so thick.

If you send me a photo with your information, I'll put it on this site. mboggess math.tamu.edu