define ~ Crossover Point
Well, i spotted this one wasn't in the poidia so i figured i should post it up.
Whilst i noticed crossover points whilst spinning, it wasn't until uberpoi that i really understood how fundemental they can be to some people who spin, and how usful they are to developing crazy stuff...
So, what are they? and how do you use them?
m
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define ~ Crossover Point
crossover point~
the point of inflection where the poi changes plane facing when moving between planes.. It is most easily marked by the 'x' in front of you when you weave..
as far as the uses.. thats a bit harder to describe.. its kinda like the difference betwee a same time and split time butterfly.. a same time butterfly crosses at the top.. but a split time butterfly crosses at the side.. that's kinda the same but not really.. I cant really think off hand of a clear and easy example.. but then again I just woke up..
define ~ Crossover Point
Crossovers are complicated . . . and infinite
An answer could be found meditating on THIS ONE
or?
define ~ Crossover Point
erm... The point where a poi crosses the plane of the body in a figure eight.
hmm, less confusing words than "the plane of the body" might be good.
define ~ Crossover Point
except you have lots of crossoverpoints that don't cross a 'plane of the body' as well as crossover points that don't ivolve figure 8's...
define ~ Crossover Point
Surely the point along the intersection of two planes where the poi head moves from one into the other? Because after all if you understand helix you realise that no plane is really parallel to another so they actually intersect...
define ~ Crossover Point
I agree with spiralx, but being the petit man i am (some would say seeker of precision!) I'd like to point out that two planes can be parallel to each other (eg when just spinning both at your sides) but since there's no interaction between the planes then there'd be no crossover points...so i'm just being petit really...
hmmm... just been thinking a lot about planes now...think i need a 3d bit of paper to scribble down what's going on in my head, wish the scientists would hurry up with that one, specifically when the centre of rotation changes from one plane to the other...think i'm having an epiphany...
define ~ Crossover Point
hey guys... perpendicular planes have crossover points too and they do not create figue 8's.. think 90 degree plane channges and such.. you do not need paralell planes ...
define ~ Crossover Point
Hence my post not mentioning anything about parallel! There's a crossover point for any two planes that intersect...
define ~ Crossover Point
[quote="Rev"]hey guys... perpendicular planes have crossover points too and they do not create figue 8's.. think 90 degree plane channges and such.. you do not need paralell planes ...
define ~ Crossover Point
where's the figure 8 if I'm horizontal 90 degrees then vertical 90 then horizontal 90 by a different axis.. ?
those still have crossover points.. infact examples kinda like that verge on continuos crossover points where the poi are constantly in a state of crossing over, but not anywehere close to makeing figure 8's more like calabi yaus
..
my point is that crossovers dont need certain plane types or figure 8's or anything else.. think outside the box.. because making the most of a crossover point is knowing how any point is able to crossover to any other point.. and how to maintain that crossing over..
or like andy said.. meditate on "or"
define ~ Crossover Point
All true Rev, but how's about we adopt a reasonably simple definition and then, as with everything else in poi, accept that it's not 100% "true" or set in stone?

define ~ Crossover Point
Well if you only wanna go half way round the figure 8 then half way round another figure 8 that's fine by me rev
But i hear what you're saying,
so then, what should the definition be?
m
define ~ Crossover Point
well all I was getting at was that the point of the crossover is relative to a number of things..
simply put its an inflection point (but I dont think people will understand that).. simple example is the 'x' of figure 8.. I think I said that in the first post.. I think using the fifgure 8 is something that should be left to an example but not in the definition.. that was all I was really getting at with that stuff..
what makes this hard in my opinion is that you have crossover points with each poi.. and they arent necessarily the same.. and top crossover point with one poi and a bottom crossover with the other makes for a crossover that happens same time with split time spinning and split time with same time spinning.. hehe..
how about 'its the point where planes change'? because that in itself is as infinite as the motion.. and works equally well for figure 8's and continuous crossovers..
define ~ Crossover Point
But in a figure 8 the planes don't change surely. And how does a point where the sign of the curvature changes apply to this? That would only apply to points in a single plane. And I still think my definition is broad enough to cover all of your examples, as it doesn't mention anything about what path the poi is taking, just the point where it goes from one plane to the next.
define ~ Crossover Point
I agree that a figure 8 doesnt have to change planes.. but I dont agree that anywhere that there is a crossover point, there is a figure 8...
define ~ Crossover Point
Nor do I
That's just silly.
define ~ Crossover Point
I guess there's
a figure 8
a figure S
and
a figure X
define ~ Crossover Point
the 8, the S, and the X all show the same thing, yes.. because how you get to the point and leave its going to be as varied as our spinning styles.. but its all same operation.. I would argue that you could have a crossover point that was W or maybe just V would be a better description..
its where there's a changeover.. but then again.. that's just being redundant.. I mean I always looked at it like changing planes.. but spiral rightly noted that figure8's don't change planes.. I guess that never really clicked for me because I think of a lot of spinning as 2d.. and so the right circle and the left circle in a figure 8 were different in direction.. I guess like vectors or something.. but I dont expect other people to buy that way of thinking.. and if you think of plane as this infintely long sliver of space.. then you can argue that a figure 8 is single planed.. Which, even though we all know what a crossover point is.. it makes precise description a lot messier..
define ~ Crossover Point
[quote="spiralx"]Surely the point along the intersection of two planes where the poi head moves from one into the other? Because after all if you understand helix you realise that no plane is really parallel to another so they actually intersect...