Poi Tech Blog Blog #102: are there antispin toroidal flowers?

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Having played a little bit more with the concept of toroidal flowers I looked at in #100, I'm beginning to believe that they may lack a distinction between antispin and inspin variants. Specifically, it seems that no matter how I orient the rotation of the poi head to my hand as I turn with them, it results in the same number of downbeats and thus I'm pretty sure the same distance traveled by the poi head. If there is no difference in the distance traveled by the poi head, then all different variants of this type of flower would be more accurately described as being different phasings of the same concept, which is really befuddling because antispin and inspin flowers do deform slightly along the toroidal shape but apparently change characteristics subtly when this happens. If anybody can make a case for a difference between these two types of flowers or what I'm doing wrong in my geometry, please post a response as this is really perplexing to me.

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