hi,

what can be the polar equation whose graph is just like a 4-leaf clover as in the attachment?

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- Mar 14th 2010, 03:17 AMspringcreate a 4-leaf clover by polar coordinates
hi,

what can be the polar equation whose graph is just like a 4-leaf clover as in the attachment? - Mar 14th 2010, 09:29 AMGrandad
- Mar 14th 2010, 10:21 AMspring
cant be closer than this!

i thought there must be something addition of two "sin"s and their coefficients should be different from each other. this solution makes me happy...

thank you...

but i want to know how can you produce a polar coordinated graph in excel? - Mar 14th 2010, 01:43 PMGrandad
Hello springI'm using a fairly old version of Excel. (I bought Office 2007 and tried to like it but hated it, so I reverted to my earlier 2000 version.)

1. Set up two columns of values: $\displaystyle \theta$ and $\displaystyle r=f(\theta)$. Use values of $\displaystyle \theta$ from $\displaystyle 0$ to $\displaystyle 2\pi$.

2. Create two further columns $\displaystyle x = r\cos\theta$ and $\displaystyle y = r\sin\theta$.

3. Use the XY (Scatter) graph-type using the $\displaystyle x$ and $\displaystyle y$ values, choosing the 'smoothed lines without markers' sub-type.

Grandad

- Mar 14th 2010, 02:07 PMskeeter
attached graph in St. Patrick green ...

- Mar 14th 2010, 02:30 PMspring
hmm, got it!

excel is incredible sometimes.

i will try to produce the equation by skeeter.

by the way,

"work smart, not hard."

like it. (Smirk) - Mar 15th 2010, 12:07 AMGrandad
- May 7th 2012, 11:37 AMthemanukRe: create a 4-leaf clover by polar coordinates
Hi there, first post, i'm in the middle of doing that very design but my clover isn't as tidy as yours, just wondering what i'm doing wrong.