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MathGroup Archive 2002

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Re: Translations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32453] Re: [mg32448] Translations
  • From: Ken Levasseur <Kenneth_Levasseur at uml.edu>
  • Date: Tue, 22 Jan 2002 03:19:14 -0500 (EST)
  • References: <200201210755.CAA00607@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Manuel:

Here is one way to generate the frames, using a function (tr) that
generates linear combinations of two sets of points (start and end) that
are presumed to have the same length:

In[9]:=
tr[start_List, end_List, lambda_] :=
  MapThread[(1 - lambda)*#1 + lambda*#2 & , {start, end}]
In[17]:=
(Show[Graphics[Polygon[tr[start, end, #1]]],
    PlotRange -> {{-10, 10}, {-10, 10}}] & ) /@
  Range[0, 1, 1/30]


Ken Levasseur
Math Sci.
UMass Lowell

manuel avalos wrote:

> Hello
>
> Perhaps if I state my problem you might suggest a method using
> mathematica how it could be accomplished.
> How can I translate a graph, say a triangle, in an R2 coordinate system
> to another given position on the x y plane showing all the various
> stages from the one position to the other?
> The triangle was formed by connecting the points (-4,4),(-3,-2) and
> (-2,-4) by straight lines...and another triangle was formed by
> translating that triangle by (6,6). Suppose you want to move the first
> triangle smoothly to the position of the second triangle using, let's
> say, a total of 31 frames numbered- 0, 1, 2,...30. How would one go
> about generating each frame?
> Thanks for whatever
> Manuel



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