[seqfan] Re: floretion video / A108618

[Creighton Kenneth Dement]

Dear Seqfans,

I uploaded a copy of the video here
http://www.youtube.com/watch?v=GKL4Lkw-rU0

I wrote a python script to allow users to see the 2D/3D curves for
themselves using the (excellent) freeware software Blender. See (or ask me
and I will try to help)
http://wiki.blender.org/index.php/Extensions:Py/Scripts/Manual/Misc/Import_Floretions

I would also like to take the opportunity to thank Benoit Jubin. I'm no
expert on Group Theory, but my jaw dropped to the floor when he wrote that
he'd found a new way to formulate the "Gerald's diamonds" sequence A108618
(see comment there). That sequence has always been one of my favorites
because:

- it only references quaternions (the algebra of the quaternions is
contained in the floretion algebra)

- it is very simple and trying to make it simpler will probably result in 
a sequence which satisfies a linear recurrence relation (likely 4th order
or less).

- it is the basic idea behind all the other algorithms which generate the
"life-like" pictures, music etc.


Sincerely,
Creighton


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>    1. Creighton Dement's "Floretions: Sights and Sounds" will
>       screen this Wednesday (Alonso Del Arte)
>    2. Re: Creighton Dement's "Floretions: Sights and Sounds"	will
>       screen this Wednesday (Michael Porter)
>    3.  Surprising Patterns in Tangent and Secant Numbers (Paul D Hanna)
>    4. Re: Surprising Patterns in Tangent and Secant Numbers
>       (Paul D Hanna)
>    5.  (no subject) (c.zizka at email.cz)
>    6. Re: Surprising Patterns in Tangent and Secant Numbers
>       (franktaw at netscape.net)
>    7. Re: Surprising Patterns in Tangent and Secant Numbers
>       (Paul D Hanna)
>    8. Re: Surprising Patterns in Tangent and Secant Numbers
>       (Max Alekseyev)
>    9. subset (base) of A167676: emirps which are concatenations	of
>       three consecutive primes (Jonathan Post)
>   10.  Query (Richard Guy)
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