Marveleous MagicTile world! "Skew 30 colors e100". After 3000 twists I'm ne=
ar the end of the puzzle. I'm working in the Poincare View of course.
http://www.youtube.com/watch?v=3DLmhdm4wSx1w
Nice! What a crazy looking puzzle.
-Melinda
On 12/10/2012 1:38 AM, Eduard wrote:
> Marveleous MagicTile world! "Skew 30 colors e100". After 3000 twists I'm near the end of the puzzle. I'm working in the Poincare View of course.
> http://www.youtube.com/watch?v=Lmhdm4wSx1w
Two pictures to this topic:
http://wiki.superliminal.com/wiki/File:Moebius_to_crosscap0.JPG
http://wiki.superliminal.com/wiki/File:Moebius_to_crosscap1.JPG
--- In 4D_Cubing@yahoogroups.com, "Andrey"
>
> There is very easy way to attach moebius strip in its classic form to the=
edge of hole in sphere.=20
> Make not circular, but horse-shoe-like hole. Take part of sphere that i=
s "half-inside" of this hole (it looks like a circle attached to other part=
of sphere by the small arc) and rotate it to 180 deg so that its former in=
ternal surface be on the outer side of sphere and external - on the inner s=
ide. You can see that edge of the hole now looks exactly like the edge of m=
oebius stripe (if they have the same orientation). Now just attach stripe t=
o sphere - and you'll get cross-cap model of the projective plane.=20
>=20
> Andrey
>=20
>=20
> --- In 4D_Cubing@yahoogroups.com, "Eduard"
> >
> > Seed a moebius strip to a hole in a sphere. This is pronounced very eas=
ely. But it is difficult to follow the whole process mentally.
> > After half of the process you get to the opposite side of the hole in t=
he sphere. And now comes the crucial moment. I have to grip the opposite bo=
rder of the moebiusband and to travel to the opposite side of the hole in t=
he sphere where the seeding started in order to make he first seeding step =
of the second half of the process bringing together the gripped border and =
the still unseeded part of the border of the hole in the sphere. In doing =
this I transport all the seeded neighbouring and this makes selfpenetration=
necessary. This important moment should shown in a beautiful animation. At=
the end we have a so called "cross-cap" (Kreuzhaube, bonnet crois=E9). In =
such a movie I would perhaps see when the chirality of the used moebius str=
ip is lost, the cross-cap having no chirality.
> > I fear that there exists no youtube with this animation. Or somebody kn=
ows it?
> >
>