David Singmaster Autumn 1981 wrote:
This has been patented by Josef Trajber of Vienna and shown to me by Rainer Seitz.
Its solution is similar to the cube, but requires some new insights.
It has 8!·12!·212·46 / 2·2·2 = 4.1 × 1019 = 40 50301 90700 29824 patterns.
I don't know when this may be produced.
David Singmaster Summer 1982 wrote:
Trajber's Octahedron (C1-7/8) has been produced in Taiwan, in two forms.
The other form has the vertex pieces slightly truncated.
David Singmaster wrote:
from the collection:
Trajber's Octahedron This is described in Cubic Circular 1. 67mm edge in PC labelled Double Triangle Puzzle, sample from Otto International, Taiwan.
Trajber's Octahedron, truncated Same as above but with corners slightly truncated. In slightly domed PC labelled WP, from same source.
Mark Longridge wrote:
Date: Mon, 31 Aug 1992 20:00:00 -0400
Subject: rare variants
I collect cube variants, and although the variations in cube colours are
interesting my great interest is variants in mechanisms (which require
different solving techniques).
I've been corresponding with other cube buffs around the world in an
effort to record ALL the significant cube variants and I use the
following classification system:
M = Manufactured in quantity, readily available
S = Produced in small quantities only
R = Rare, a few prototypes exist, difficult to get
P = Prototype, the inventor has the only one!
C = Exists only as a computer simulation and/or cardboard mockup
I = Intellectual idea only (perhaps on pencil and paper)
In my opinion, Square 1 is the most interesting cube variant in recent
years, and it gave me the most trouble! Here are some of the tough ones
to get, and if anyone knows of any others email me and I'll maintain a
list of them...
Trajber's Octahedron (R) Evidently Greg Stevens owns one
Octahedral puzzle with rotating faces
We all know that Greg has been making many mods, so this one wasn't production made.
Mark Longridge on Sep 15th, 1992 wrote:
Just a few days ago I got Constantin's catalog. Surprisingly there is
a picture of Josef Trajber's Octahedron inside.
Jean-Claude, too, is a modder par excellence (who sadly is selling/has sold his whole collection recently),
so this is another "R" one.
So, Trajber's Octahedron has been produced, at least as a sample.
When I last visited David, I wasn't able to search for his two samples, as I was overwhelmed by his collection.
But I believe he has them.