Notation for Toratopes

Discussion of shapes with curves and holes in various dimensions.

Notation for Toratopes

Postby ubersketch » Fri Aug 21, 2020 2:43 am

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.
User avatar
ubersketch
Trionian
 
Posts: 158
Joined: Thu Nov 30, 2017 12:00 am

Re: Notation for Toratopes

Postby wendy » Fri Aug 21, 2020 7:37 am

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
User avatar
wendy
Pentonian
 
Posts: 1946
Joined: Tue Jan 18, 2005 12:42 pm
Location: Brisbane, Australia

Re: Notation for Toratopes

Postby ICN5D » Wed Sep 16, 2020 12:28 am

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
 
Posts: 1079
Joined: Mon Jul 28, 2008 4:25 am
Location: Orlando, FL


Return to Toratopes

Who is online

Users browsing this forum: No registered users and 1 guest