Haha, I dunno; but I dig geometric things quite a bit!

Too much demo scene influences on me over the decades?

Trick question: THERE'S NO SUCH THING AS TOO MUCH DEMO SCENE! ;).

Check it: https://www.pouet.net/prod.php?which=59100

(Link to a demo called Parallelogram)

Video of such things (because it requires some FPGA hardware which most folks presumably don't have, I know I don't. I mean, sure, OK, I do have hardware with FPGAs, but not that specific hardware with FPGAs.):

https://demozoo.org/productions/31546/

For some reason my mind is also recalling the Chex cereal knock that I encountered when I went to college in Minnesota some decades ago called: Crispy Hexagons.

(With a name like that, how could they not be [superlative adjective goes here that my imagination is not currently satisfied with when attempting to internally enumerate such thoughts]?! I bought some, alas, false advertising or something. However, I kept the box for many years. Perhaps I should make a demo for the sorts of Crispy Hexagons my imagination was conjuring instead?)

#parallelogram

CC: @[email protected]
Parallelogram by lft

demo for Wild, 1st at Revision 2012

pouët.net
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Hackaday
Lemniscate of Bernoulli is #hyperbola^(-1) w inversion #circle centered at center of H (bisector of its two foci). also drawn by Watt's linkage, w lengths of the three bars of linkage and the distance between its endpoints chosen to form a crossed #parallelogram.
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To appreciate #Hamilton's method, recall #Abelian group of translations in #Euclidean 3-d. Each translation is representable as a vector, location irrelevant. composition of two translations by #parallelogram rule and taking the inverse amounts to reversing direction.