A Mathematical Approach to Classifying Poi Patterns, using Trigonometry to Model Toroids

This post continues my section-by-section exploration of my poi math paper.

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Drex Fall Poi Tech: Contact poi and tapedeck toroids

Man...this video totally started out as something very different indeed ;) I wanted to show off a couple ideas for contact combos I'd been working with, then I wound up with too many of them for a single tech blog...and then Tim Goddard posted his video about tapedeck toroids and it got my creative gears turning. is an interesting hodgepodge of different tech ideas. Enjoy! :)

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Drex's Tech Poi Blog #335: Plane bending gets weird

So here's an interesting thing you can do with plane bending: if you displace a 4-petal antispin flower in three dimensions such that it changes plane as it enters and exits a petal, you wind up creating an interesting illusion wherein from one perspective it continues to look like a 4-petal antispin flower but from another it looks like a 2-petal inspin flower. You can use this, then, to create patterns where you're not only spinning a different type of flower from a different perspective, but also a different timing and direction.


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Drex's Tech Poi Blog #329: Timing and direction in Isobend-4 (with poi)

After uploading my vid on isobend hybrids (, Kory San pointed out to me that there would be at least two variants on each pattern because the isobends can be performed either with the poi always rotating away from the performer or toward. With that in mind, here is a demo of all hand T&D with the poi moving both inward, outward, and both (which in some cases yields movement in split-same and in some cases yields movement in opposites).

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Drex's Tech Poi Blog #326: Random staggered time toroid patterns

Just a grab-bag of some random variations of an isobend-4 where I play around a bit with the timing on them, seeing what happens by using split time same direction in them.

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Drex's Tech Poi Blog #324: Box mode plane-bent Zan's diamond

Based on some of Tracy Wilhelm's work on plane bending Zan's Diamond, here is the full pattern built in box mode, with the traverses through the middle being on diagonals rather than straight up and down. Thanks for the inspiration, Tracy!

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Drex's Tech Poi Blog #323: Isobend toroid hybrids

Mashing up the isobend-4 toroid with all the even-petalled flowers, here are all timing and direction combinations, including both wheel and wall plane together opposites. For the background on isobend toroids and how they relate to antibend and probend, check out this video here:

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Drex's Tech Poi Blog #320: 3/5 Time in Toroid Pentagrams

A few weeks ago, I posted a video showing 3/5 time for antispin pentagrams and now I've (kind of) got it with toroids--the active issue here of course being how you avoid them tangling with each other mid-move. It turns out the recipe for this is to take Arashi's concept of a crane and apply it to each separate set of corners of the toroid.

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Drex's Tech Poi Blog #315: Folding cross-points

The culmination of a lot of work on aiming cross points (sorry about the audio!). Basically, you can think of a cross point for any given manifold move as being something like a hinge that you can move this way and that. One of the side-effects of this is that you can create weave-like movements that feature odd plane bends but overall behave the same way as the original move you're working from. Here are a couple examples of some moves derived from the good ol' 3-beat weave.

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Drex's Tech Poi Blog #311: Putting it all together--toroids and inversions

The past few weeks I've played around with a lot of toroids and inversions on this tech blog--here are some ways to work between some of the patterns we've played with. Arashi likes to think of there being harmonics that share specific points within a circle. You can simplify this concept slightly more and just say that there are some vertical planes and horizontal planes and each represent opportunities to bend between each other.

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