Lowest dimension of (abcd...)z-tigroid should be (a+2) + (b+2) + (c+2) + ... + z. So a torus/ditorus/tritorus triger tetratorus, (321)4-tigroid, should exist in 16-dimensional space.
ICN5D wrote:Okay, so take the rotation equation for the ((((II)I)I)(II)):
(sqrt((sqrt((sqrt((x*sin(b))^2 + (z*cos(a))^2) - 4.5)^2 + (x*cos(b))^2) - 2.2)^2 + (y*sin(c))^2) - 1.1)^2 + (sqrt((z*sin(a))^2 + (y*cos(c))^2) - 2)^2 - 0.7^2 = 0
What other distinct combinations are there that won't produce identical results? There are three cut axes, so how do 12 degrees of freedom fit in there?
So if this has a barrel, then one of 7D shapes that cut in two double tigers ((((II)I)(II))(II)) or (((II)(II))((II)I)) could have a "double-barreled" oblique cut?
Marek14 wrote:Another quite educational thing would be ordinary tiger ((II)(II)), but rendered with unequal major diameters.
quickfur wrote:Very nice indeed!
Would the triger be the inflated ridge of the tricylinder (Cartesian product of 3 circular disks)?
ICN5D wrote:You know, I did join the discussion board, and post a brief intro to what I wanted to use it for. I haven't followed up with anything I made so far, but now would be a good time. I think this application of his program is something of a treasure trove for him. An unexpected potential use that blows everyone's mind with what it's been able to do. We have seen slices of some of the most incomprehensible shapes that no one ever thought they would see. Like duotorus tiger, for example. Hmm, maybe I could see if he would make some refinements to be better suited for toratope exploration. The only thing I would be interested in would be more than four adjustable parameters. I would like up to 7, for use with 10D shapes.
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