Message #1896

From: schuma <>
Subject: Re: yet more new puzzles and a prize
Date: Sat, 05 Nov 2011 21:38:01 -0000

Sorry for not noticing the middle mouse drag function.

In Don’s applet I don’t know how to change to another motion model. Poincare model/Klein model behave in the same way. I’m not surprised by anti-procession because rolling a ball is anti-procession. Since sphere and hyperbolic plane are opposite, it’s natural to see procession in the hyperbolic plane. But I don’t know how to see anti-procession in hyperbolic.


— In, Roice Nelson <roice3@…> wrote:
> Middle-mouse drag will do a rotation for you (or on a laptop, left+right
> drag at the same time).
> I find the noncommutative panning in spherical/hyperbolic spaces really
> neat too (doesn’t happen for Euclidean space, so middle-mouse control is
> required there). The code for Don’s hyperbolic tesselations
> applet<>was super helpful
> in understanding and implementing this. Internally, you
> can see he played with a few different motion models, some of which
> anti-precess rather than precess! That is, dragging clockwise results in a
> counterclockwise rotation of the space. I found that I liked the one he
> settled on for his applet the best too, though it’d be nice to add in some
> of the others as an option.
> seeya,
> Roice
> On Sat, Nov 5, 2011 at 1:39 PM, schuma <mananself@…> wrote:
> > Hi Roice,
> >
> > I’ve never realized this way to "cheat" to get the global orientation.
> > Also, if the piece finding function is added, getting the global
> > orientation is trivial.
> >
> > Between piece-finding and macros, I think the macros help me more in terms
> > of solving. But even with none of them, I think I will attempt to solve the
> > ET {3,7}.
> >
> > Just now I wanted to propose a "rotation" function in addition to panning.
> > But then I realized that for hyperbolic puzzles, rotation can actually be
> > done by dragging circularly. That is, if you drag (= pan) the hyperbolic
> > plane in a circle clockwise, the net effect is that the puzzle is rotating
> > clockwise. The larger the circle, the faster it rotates. It’s a enjoyable
> > way to do rotation and I’m very happy with it. It’s a (noncommutative)
> > property of panning, just like if you roll a ball on the floor on a small
> > circle for a while, the net effect is rotation along the vertical axis.
> >
> > Nan