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Forums > Advanced Poi Moves > A mathematical approach to advanced flower patterns

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bjrcboy
BRONZE Member since Aug 2009

journeyman
Location: USA

Total posts: 74
Posted:This has been brewing in my head for awhile. Its a way to pass time in Calculus and helps me understand - not only math - but flowers as well. I don't have much time to write as of right now but, think back to trig and polar graphs. I personally believe they flow so well with poi.

I'll write more soon but until then...

OH THE PATTERNS! shocked

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Midkiff
BRONZE Member since Nov 2009

shadow stranger
Location: Carmi, Illinois, USA

Total posts: 462
Posted:wow very complex patterns but one question why the repeats?

"Is God willing to prevent evil, but not able? Then he is not omnipotent. Is he able, but not willing? Then he is malevolent. Is he both able, and willing? Then whence cometh evil? Is he neither able nor willing? Then why call him God?" - Epicurus

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SpinnerofDetroit
GOLD Member since Oct 2009

SpinnerofDetroit

All High Dude, Ruler of What You Want
Location: Trenton, MI, USA

Total posts: 2280
Posted:Actually I got bored in class and figured out how to make anti-spin petals (rose petals in graphing). How do you do pro-spin and those other funky ones?

The only luck is bad luck.

Shut up before I stall my poi up your ass grin

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aston
SILVER Member since Dec 2007

aston

Unofficial Chairperson of Squirrel Defense League
Location: South Africa

Total posts: 4061
Posted:Someone posted a spreadsheet that could generate these sorts of things for different arm-length/poi-length ratios, number of turns, and such a while ago.

If anyone is unable to find it, I can put it up somewhere. smile


'We're all mad here. I'm mad, you're mad." [said the Cat.]
"How do you know I'm mad?" said Alice.
"You must be," said the Cat, "Or you wouldn't have come here."
- Lewis Carroll, Alice's Adventures In Wonderland

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SpinnerofDetroit
GOLD Member since Oct 2009

SpinnerofDetroit

All High Dude, Ruler of What You Want
Location: Trenton, MI, USA

Total posts: 2280
Posted:How do you get the rose petals with 6, 10, 14, and any other number of petals that is even with an odd number as 1/2 of that number?

The only luck is bad luck.

Shut up before I stall my poi up your ass grin

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Sister Eleven
GOLD Member since Aug 2009

Sister Eleven

owner of the group property
Location: Seattle, WA, USA

Total posts: 1277
Posted:Practice.

p|.q|r:|::s|.s|s:|:.s|q.|:p|s.|.p|s

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Teamo
GOLD Member since Dec 2009

Teamo

Almost again
Location: Finland

Total posts: 124
Posted:Those are very cool concepts and all, but I think when actually executed, a lot of those patterns would be indistinguishable from each other. When doing poi, we don't see the whole pattern at the same time, so details like ones in the more intricate patterns on that sheet are diluted. And even when posing the move for a camera that could capture the whole pattern, they would require too precise hand movements to accurately repeat the entire trail.

That said, I don't really assume that you intended this as a practical approach to doing poi. This more or less just relates to theory of circles, which is a fun topic in and of itself, how ever conceptual it may be.


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SpinnerofDetroit
GOLD Member since Oct 2009

SpinnerofDetroit

All High Dude, Ruler of What You Want
Location: Trenton, MI, USA

Total posts: 2280
Posted:Sister, I mean with a graphing calculator lol. How would that certain amount of petals be so much harder than others. Because, well I can't type out all the symbols, so I'll type it out. For Sine of 3 theta, you would get 3 petals. For Sine of 2 Theta, you would get 4. Then Theta is multiplied by an odd number, you get that amount of petals, when you multiply it by and even number, you get twice the coefficient in petals. So certain amounts of petals confound me.

The only luck is bad luck.

Shut up before I stall my poi up your ass grin

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chemairo
SILVER Member since Sep 2008

person who like to spin all gears
Location: Germany - Dsseldorf

Total posts: 62
Posted:is there really a termn for drawing such "circles"?

Does here anyone is studying math and could get a term for having such patels with a calculator for example?


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aston
SILVER Member since Dec 2007

aston

Unofficial Chairperson of Squirrel Defense League
Location: South Africa

Total posts: 4061
Posted:Try spirographs?

'We're all mad here. I'm mad, you're mad." [said the Cat.]
"How do you know I'm mad?" said Alice.
"You must be," said the Cat, "Or you wouldn't have come here."
- Lewis Carroll, Alice's Adventures In Wonderland

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bjrcboy
BRONZE Member since Aug 2009

journeyman
Location: USA

Total posts: 74
Posted:Hey guys, sorry for the late reply - I've been swamped with midterms. Anyways the main point of this post was to make people talk and it seemed to work!

So... yes not all of these patterns are possible and I feel any higher then 6 petals is pointless. Unless you're going really fast most viewers won't know the difference.(Well the 8 petal cateye flower does have a nice look to it). This is more of a conceptual post.

The patterns with 6, 10 or 14 petals are simple. Either r=cos theta and r=sin theta or r=cos (theta - Pi/2).

Recently I've found a way to trace out a pentagram using polar coordinates! I have to go to class, so I'll post pictures tonite.


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Zaltymbunk


Zaltymbunk

newbie
Location: Toulouse, France

Total posts: 38
Posted:Originally Posted By: astonSomeone posted a spreadsheet that could generate these sorts of things for different arm-length/poi-length ratios, number of turns, and such a while ago.

If anyone is unable to find it, I can put it up somewhere. smile

I didn't found the actual post ... but below are miscellanies which enable to vizualise the effect of the "modulus" part on a given "harmonic" part of a pattern.

If you wonder what i mean by "harmonic" and "modulus" parts or want to know what my definition of a pattern is ... take a look here at first -> Explanation

These patterns have been traced on Excel ... with the help of a mathematical description :


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The "modulus" part range ... i.e. the ratio PoLength/Arm Length ... is successively 1,4/5,3/4,2/3,3/5,1/2,2/5,1/3,1/4,1/5 for each patterns.

The first : patterns with a 1 # "harmonic" part ... with # from 1 to 7.
The second : patterns with a 1 -# "harmonic" part ... with # from 1 to 7.
The third : a few 3 # & 3 -# "harmonic" part patterns.
And so on.

The concentric little circles pattern below have a 0 1 "harmonic" part.
The concentric big circles pattern below have a 1 0 "harmonic" part.


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