## Notation for Toratopes

Discussion of shapes with curves and holes in various dimensions.

### Notation for Toratopes

A number n represents n-dimensional ball. Brackets hollow out its contents. For example, 2,2 is a duocylinder, [2]2 is a torus, [1]2 is two disjoint disks, [2]3 is a torisphere.

ubersketch
Trionian

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Joined: Thu Nov 30, 2017 12:00 am

### Re: Notation for Toratopes

A torus is the product of the surfaces of two circles. The interior is not part of the product. I am sure that Philip has this matter sown up.
The dream you dream alone is only a dream
the dream we dream together is reality.

\(\LaTeX\ \) at https://greasyfork.org/en/users/188714-wendy-krieger

wendy
Pentonian

Posts: 1947
Joined: Tue Jan 18, 2005 12:42 pm
Location: Brisbane, Australia

### Re: Notation for Toratopes

Oh dear, what's going on now. See, this is what happens when I replay fallout new vegas and skyrim back to back.

My question for ubersketch is how you differentiate between a tiger and a ditorus. This kinda sorta resembles my own linear construction method from STEMP notation, i.e. IO(O) , IO(OO) , IOO(O) . But, it fails to show the combinatorial differences of some shapes like (((II)II)(II)) vs ((III)((II)I)) .
in search of combinatorial objects of finite extent
ICN5D
Pentonian

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Location: Orlando, FL