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 Curve Bank Home
Dr. Paul Chabot
Department of Mathematics
California State Univ.,
Los Angeles
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Polar Graphs
Create Your Own Polar
Animations Using Maple!
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| The graphics in this deposit were
created using Maple software
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NCB Deposit # 29
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A
Sampler
for the Student. To view a larger
continuous
animation, click on the image in each cell.
Please be patient!
This is a large file with many
graphics that
may require several seconds to load.
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The above animations are the
polar graphs of . . .
The middle image takes the
equation from polar form to rectangular coordinates.
Dr. Chabot's Maple Work Sheets
can be easily altered to graph any polar function on any
domain. [Only one line of code for each change.] The
instructions are in the Work Sheets linked on the left. The
provision is that you must own a copy of Maple.
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These polar
graphs have
the shape of a petalled flower. They were named Rhondonea
in the 18th century by the Italian mathematician Guido Grandi.
Today
we call this a Rose polar graph.
In our equation, n
= 4,
an even number. If n is even, the Rose will
have
2n petals. If n is odd, the rose will have the odd number
of n-petals.
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| Shikin, Eugene V., Handbook
and Atlas of Curves, CRC Press, 1995, pp. 304-306.
Yates, R. C., Curves
and their Properties, NCTM, 1952. Also in A Handbook on
Curves and their Properties, various publishers including the NCTM.
Weisstein, Eric. W., CRC
Concise Encyclopedia of MATHEMATICS, Chapman & Hall/ CRC, 2nd
ed., 2003.
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For Mathematica® code that
will create polar graphs:
Gray,
A., MODERN DIFFERENTIAL GEOMETRYof Curves and Surfaces with
Mathematica®, 2nd. ed., CRC Press, 1998.
< http://mathworld.wolfram.com/Rose.html
>
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