Dioctipoid is a very pleasent rotational mechanical puzzle equivalent to a =
face turning octahedron. Dioctipoid is written on the edge elements as an a=
mbigramm so the edge elements are not oriented. The ambigramm is not necess=
ary because these elements cannot return home with the wrong orientation. B=
y coloring the face turning octahedron normally we have oriented corners, o=
riented edges and monocolored sides which are hence partially anonymous and=
not oriented. I propose to add to colored point in the corner of the trian=
gular sticker of each side element which is the same as the color of the ne=
ighbouring side element on the other octahedron side. So the side elements =
become unique and oriented.=20
The facesides in the 4D FT 24cell are also not unique and not oriented.=20
--- In 4D_Cubing@yahoogroups.com, "Eduard" <baumann@...> wrote:
--9-0471515362-9391441466=:7
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Here are two pictures for the proposition to make an "augmented 24 cell
FT". I know it is not possible to make this simply with a configuration
file.
augmented facesides
=3Dasc>
augmented subcorners
--- In 4D_Cubing@yahoogroups.com, "Eduard"
>
> Dioctipoid is a very pleasent rotational mechanical puzzle equivalent
to a face turning octahedron. Dioctipoid is written on the edge elements
as an ambigramm so the edge elements are not oriented. The ambigramm is
not necessary because these elements cannot return home with the wrong
orientation. By coloring the face turning octahedron normally we have
oriented corners, oriented edges and monocolored sides which are hence
partially anonymous and not oriented. I propose to add to colored point
in the corner of the triangular sticker of each side element which is
the same as the color of the neighbouring side element on the other
octahedron side. So the side elements become unique and oriented.
> The facesides in the 4D FT 24cell are also not unique and not
oriented.
>
--9-0471515362-9391441466=:7
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Here are two pictures for the proposition to make an "augmented 24 c=
ell FT". I know it is not possible to make this simply with a configuration=
file.
> Dioctipoid is a very pleasent rotational mechanical puzzle eq=
uivalent to a face turning octahedron. Dioctipoid is written on the edge el=
ements as an ambigramm so the edge elements are not oriented. The ambigramm=
is not necessary because these elements cannot return home with the wrong =
orientation. By coloring the face turning octahedron normally we have orien=
ted corners, oriented edges and monocolored sides which are hence partially=
anonymous and not oriented. I propose to add to colored point in the corne=
r of the triangular sticker of each side element which is the same as the c=
olor of the neighbouring side element on the other octahedron side. So the =
side elements become unique and oriented.
> The facesides in the 4D =
FT 24cell are also not unique and not oriented.
>
--9-0471515362-9391441466=:7--
I notice in the UK patent application for this puzzle
that the inventor is apparently trying to claim
coverage for an electronic simulation. I have my
doubts about whether that can hold up - since, at the
abstract level, we are just talking about tiles on the
surface of a sphere and permutations of them. (I
grant that there may be patentable matter at the
physical embodiment level for achieving a practical
implementation; but the figures depicting its
construction, which I looked at only briefly, were
hardly surprising.) However, all I can find is the
patent application, so I don't know if the inventor
prevailed on the simulation aspect. Does anyone have
any insight on this issue?
Regards,
David V.
----- Original Message -----
From: "Eduard"
To: <4D_Cubing@yahoogroups.com>
Sent: Sunday, December 25, 2011 6:01 PM
Subject: [MC4D] Dioctipoid
> Dioctipoid is a very pleasent rotational mechanical
> puzzle equivalent to a face turning
> octahedron. Dioctipoid is written on the edge
> elements as an ambigramm so the edge elements are
> not oriented. The ambigramm is not necessary because
> these elements cannot return home with the wrong
> orientation. By coloring the face turning octahedron
> normally we have oriented corners, oriented edges
> and monocolored sides which are hence partially
> anonymous and not oriented. I propose to add to
> colored point in the corner of the triangular
> sticker of each side element which is the same as
> the color of the neighbouring side element on the
> other octahedron side. So the side elements become
> unique and oriented.
> The facesides in the 4D FT 24cell are also not
> unique and not oriented.