when reading the toracubinder and the toraspherinder
I have the below thought (which my vague memory told me that it has been discussed before (something about skeletons), but I forgot)
Ok we are currently in 3D
Assume I have two toriod objects
A is made by circle # square (i.e. fold a cuboid into a loop)
B is made by square # circle (i.e. bend a cylinder 3 times and then join the circular ends)
Although it is obvious that A=/=B (By observation)
How should we name them in order to distinguish them?
Now we are in 4D
Similar scenario is also met
High dimension wiki:
Toracubinder (Circle # sphere) vs Toraspherinder (Sphere # circle)
Actually I think toracubinder is incorrect
e.g. Your call the cubinder that way because there is at least one realmic view it is a cube
But there is nothing cubic in the "toracubinder"!
In addition it is folded using a spherinder not a cubinder
Thus I think what is called toracubinder in the wiki should be named as toraspherinder
But then we have a problem of don't know how to name the weird (sphere # circle) toroid
I then try to check wikipedia for the meaning of the word "torus"
Then it gives me "cushion" thus it does not help
IMO the true toracubinder is the torinder (choping away the (circle#square) cell from the cubindrical swock and fold won't work as you will end up stretching and deforming the cylinders (more specifically, the circular ridges become elliptical ridges and thery won't join because you always end up having two curved 1D portions failed to coincide completely) regardless on which direction you stretch it) (I might be wrong here...)
However it is possible to take a tesseract swock, chop an opposite pair of cubical cells off, and then roll it up to from a weird cubinder like object but with the cylinders replaced by an extruded anulus (i.e. you get a trihose)
In conclusion I think a new naming scheme is needed to distinguish the A#B shapes from the B#A shapes
Corrected all instances of "cublinder" to "cubinder". I don't usually bug people about spelling, but since you linked to the wiki page for it in this very post... ~Keiji