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Re: cubic quaternion based surface

  • To: mathgroup at
  • Subject: [mg53521] Re: cubic quaternion based surface
  • From: Roger Bagula <tftn at>
  • Date: Sat, 15 Jan 2005 21:07:49 -0500 (EST)
  • References: <cs5ap3$3qj$> <cs9c22$jkk$>
  • Sender: owner-wri-mathgroup at

Jens-Peer Kuska wrote:

> Hi,
> you mean
>  x[t_]=x0/(Sqrt[2]-t0)
>  y[t_]=y0/(Sqrt[2]-t0)
>  z[t_]=z0/(Sqrt[2]-t0)
> without the SetDelayed[] because otherwise the t_ pattern
> is not replaced by p in your second call of ParametricPlot3D[]
> Regards
>   Jens
> "Roger L. Bagula" <rlbtftn at> schrieb im Newsbeitrag 
> news:cs5ap3$3qj$1 at
>>(* four space coordinates*)
>>(*Clifford torus projection*)
>>(* this resulting surface is a projective plane of a quaternionic type*)
>>    Boxed->False,Axes->False,PlotPoints->60,PlotRange->All]
>>Show[g2,ViewPoint->{0.001, -0.045, 3.383}]
>>Show[g2,ViewPoint->{-3.360, -0.024, 0.397}]
You're probably right.
I just put in the ":=" so I could get
the whole thing in a screen capture.
My big problem is I'd like to get Mathematica to consider i,j,k as
matrices instead of numbers.
These groups can be generalized to i^n, j^n,k^n,
but they make more sense as SU(2) type matrices.

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