RicheeRicheeBRONZE Member
HOP librarian
1,841 posts
Location: Prague, Czech. Republic






Non-Https Image Link



A curve which has the shape of a petal flower. Curve was named

'Rhodonea' by the Italian mathematician Guido Grandi, between 1723 and 1728 because it resembles a rose.

The polar equation of the rose is":

r = Alfa * sin * (n * Theta) [spin]

r = Alfa * cos * (n * Theta) [anti-spin]

If N is odd, the rose is N-petalled. If N is even, the rose is N-petalled.

Non-Https Image Link

If N is irrational, then there are an infinite number of petals.

N = 2 - Full anti-spin flower.

N = 3 Trifolium(Paquerette de mlibe)

N = 1/2 Half flower.

N = 1/3 Lock-out.

N = 1/5 Snake


"If is N = R/S a rational number, then the curve closes at a polar angle

of Theta = PI * S * P ,where P = 1 if R * S is odd and P = 2, if R*S is


Did anyone understand tha last?



I found that there are flowers divaded into families depending on

origin of the flower, the center.

Trammel(Astroid base) - Full 4 anti-spin flower, with center.

Trimmel(Deltoid base) - Full 3 anti-spin flower, with center.

Hyperbola(Ellipse base) - Circle, with focus(!).

Hypocycloid(Epicycliod base) - Rose(!).

Point(Line base) - Point.

Non-Https Image Link



I found, that there is relation between trammel and four fioled

anti-spin. That Trammel is it's, negative pair(!).

That circle negative is elliypse or hyperbola.

Non-Https Image Link



It is the ellypse.


Source reference:

-Wolfram mathworld(Pedal Curve)

-[Old link]

-MacTutor Archive

Thanks math for perfect, math world resource.

Rev, Cole, Mcp, Bluecat*

bending head,



colemancolemanSILVER Member
big and good and broken
7,330 posts
Location: lunn dunn, yoo kay, United Kingdom

nyc - hug

i honestly didn't mean to be obfuscatory (blimey! that's a clever word for first thing on a monday morning!).

from my side of things, as we did indeed already know you understood the concept - as such i thought all you would need would be a list of the ways in which r could vary with over time other than by changing the string length on the fly (shoulder-elbow-wrist circles, tangles and isolation).

nobody to teach you in nyc?
just move to london next march... biggrin

cole. x

"i see you at 'dis cafe.
i come to 'dis cafe quite a lot myself.
they do porridge."
- tim westwood

9,232 posts
Location: NYC, NY, USA

You come visit me in New York and then IF you leave you'll at least understand why it'll take a bit more than poi to get me out.


But I'll soon have family in London so that should give me some street cred and more reasons to visit. wink

Well, shall we go?
Yes, let's go.
[They do not move.]

RicheeRicheeBRONZE Member
HOP librarian
1,841 posts
Location: Prague, Czech. Republic

I'm closing this chapter.


No wait, there is more
to come.




MireneyeSILVER Member
276 posts
Location: Sweden

There's essentially one thing many forget you can do with flowers. That beeing you can spin them and wrap them ( spiral wraps ) around the hand.

I find that if they go into the spiral when they are furthest in front of you they will go out and reverse around the time they are furthest back of you. So you can keep both arms doing spirals. ubbrollsmile

RicheeRicheeBRONZE Member
HOP librarian
1,841 posts
Location: Prague, Czech. Republic

It is truth, that you can wrap Poi around body part

to get spiral effect, but it is fundamental techni-

que and here you'll find theoretical flowe overview

rather than aplication.

This thread closes relation between spin and anti-

spin, becasuse there are few "low level "anti-spins

undescribed yet.

0 anti-spin

1 anti-spin

The 2 anti-spin is trammel. I can help you, spin

has two borders, giant(long arm) and full izolation.





HOP Newsletter

Sign up to get the latest on sales, new releases and more...