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Unformatted text preview: Take Home Quiz 5
www.math.uﬂ.edu/˜harringt
April 9, 2007 Instructions: You must do all problems. You may work with other people on this quiz.
However everyone must turn in their own indivual work. Be concise and as clear as possible.
You must turn in the assignment at the beginning of class on April 15, 2007. No late papers
will be accepted.
1. Using the technique from class, draw a 3 dimensional room. You must label any perspective
points. Your room must have the following:
(a) at least 2 windows
(b) at least one door
(c) the ﬂoor must be tiled
You should use a pen or colored pencil to darken the lines that are part of the picture.
The additional markings should be in light pencil. (Not completely erased.) You may be
as creative as you like with the room. Also, do not used lined paper, i.e. you must use
blank paper.
2. Describe the Menger Sponge. Draw the ﬁrst 2 iterations. Compute the fractal dimension
of the Menger Sponge. Be sure to show all work.
3. Find at least two objects from your daily life that exhibit some type of mathematical
symmetry. Describe the symmetry in each case. You are not allowed to use the ﬂoor or
ceiling of any room. 1 ...
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 Spring '08
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