Keiji wrote:How about if the nail was a torinder? That should allow you to hang 1D ropes from it.
I cannot quite picture it at the moment, but would the action of mounting a picture frame suspended from a 1D rope on a torindric nail be a sliding motion akin to sliding a 1D rope in a 3D universe between two pegs?
Keiji wrote:My thinking was that in 3D, a rope threaded through a torus cannot be removed (without passing one end through the hole).
Therefore, if you extrude the torus into a torinder, you should be able to "slide" the rope "on" to the torinder, so that the cross-section would be the above.
Having a torindric nail, i.e. with a head that prevents sliding on one end, and inserted into a wall on the other, should prevent the rope from "sliding off".
However, in this case, wouldn't this stop one from being able to hang/remove the rope like one does in 3D, using gravity to keep the rope resting against the nailhead?
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