This animation (written in Mathematica 7) shows Morleys miracle:
The angle tri-sectors define a triangle which is always equilateral.
The background music is the "Flame Dream"
song "Nocturnal flight". Recorded in 1980, it is
from the album "Out in the Dark"
(1981) which features a tetrahedron on the cover art. [By the way, if you look at the animation of Morley, there is
the question whether the result could be proved by seeing it in space by cutting three edges away from a tetrahedral
shape. This line of thoughts has not led anywhere yet however.] The band "Flame Dream" existed from
1978-1986, was popular in Switzerland in the eighties and I had been at concerts of them.
They played so called classic, progressive rock. The members were
Peter Furrer (drums) Peter Wolf (vocalist, not the J. Geils band singer), Urs Hochuli (Bass),
Roland Ruckstuhl (Keyboard) and
Dale Hauskins (Guitar)
who was a member of the group for this album. Here is the
Added July 10, 2011:
Peter Wolf wrote me in July 2011 that Volumes 2, 3 and 4 of
"flame dream" will be redistributed on CD and will also become available digitally
together with more instrumental pieces. Peter also sent more precise details about the band
members of the "Out in the Dark" album:
Roland Ruckstuhl (piano, keyboards, arrangements)
Pit Furrer (drums, percussion)
Dale Hauskins (guitars)
Urs Hochuli (bass, bass pedals, b-vox)
Peter Wolf (voice, flute, saxophones, oboe)
The album was engineered and co-produced by John Acock/London. It was mastered by Kevin Metcalfe
and was copyrighted in 1980 by Dark Music Ltd./SUISA. It was originally released and distributed on
VERTIGO/Phonogram in 1981.