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Normal with GeometricTransformation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg110378] Normal with GeometricTransformation
  • From: "David Park" <djmpark at comcast.net>
  • Date: Wed, 16 Jun 2010 05:36:56 -0400 (EDT)

The "More Information" for the GeometricTransformation function states: 

 

"Normal[expr] if possible replaces all GeometricTransformation[Subscript[g,
i],\[Ellipsis]] constructs by versions of the Subscript[g, i] in which the
coordinates have explicitly been transformed."

 

I just wonder if "if possible" means "never" because here is about as simple
a case as one can get.

 

gr = Line[{{0, 0}, {1, 0}, {1, 1}, {0, 1}, {0, 0}}]; 

 

Graphics[{gr, Red, 

  GeometricTransformation[gr, TranslationTransform[{.5, .5}]]}, 

 Frame -> True] 

 

Now try to make the translation explicit by using Normal.

 

GeometricTransformation[gr, TranslationTransform[{.5, .5}]] // Normal 

 

It does nothing. There are cases where it would be useful to have the actual
transformed points. Any ideas on how to make this work?

 

 

David Park

djmpark at comcast.net

 <http://home.comcast.net/~djmpark> http://home.comcast.net/~djmpark/  


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