From jimw@cs.oberlin.edu Tue Sep 17 12:39 MST 1996
Received: from math.la.asu.edu (math.la.asu.edu [129.219.51.75]) by akaikuma.la.asu.edu (8.6.9/8.6.9) with ESMTP id MAA20202 for ; Tue, 17 Sep 1996 12:39:59 -0700
Received: from cs.oberlin.edu (occs.cs.oberlin.edu) by math.la.asu.edu with ESMTP
(1.37.109.18/16.2) id AA069219516; Tue, 17 Sep 1996 12:45:16 -0700
Received: (jimw@localhost) by cs.oberlin.edu (8.6.12/8.6.12) id PAA20969; Tue, 17 Sep 1996 15:45:15 -0400
Date: Tue, 17 Sep 1996 15:45:15 -0400
From: "James A. Walsh"
Message-Id: <199609171945.PAA20969@cs.oberlin.edu>
To: kawski@math.la.asu.edu
Cc: jimw@cs.oberlin.edu
Subject: tree
Content-Type: text
Content-Length: 1228
X-Lines: 34
Status: RO
Thanks for your note regarding my CMJ article on fractals
and linear algebra. I should point out that almost all of
the figures in the article are examples of attractors that
are included in the software application "Fractal Attraction",
i.e., I can't take credit for creating these particular
attractors! Below please find the data for the tree.
The initial polygon coords were obtained by reading the
mouse coords, so they might be slightly off.
Also, to generate this tree, the polygon is not closed.
That is, to get the trunk of the tree looking nice,
the trunk of the initial polygon is cut off
(as you'll see when you draw it).
The coordinates of the space for this fractal are
[-0.5,0.5]x[0.1,0.9].
Initial polygon:
p=[ (-.05,.1), (-.2,.2), (-.4,.2), (-.48,.3), (-.5,.4),
(-.4,.6), (-.3,.72), (-.2,.8), (0,.9), (.1,.9), (.3,.8),
(.5,.6), (.4,.5),(.5,.4), (.4,.25), (.35,.10), (.2,.15),
(.05,.15), (.05,.1) ]
The five maps, in the form matrix[[row1],[row2]], vector[x,y]:
[[.459,-.226],[.073,.602]], [-.002,.319]
[[.343,.376],[-.203,.546]], [-.022,.330]
[[.136,.503],[-.313,.138]], [-.02,.217]
[[.253,-.49],[.308,.35]], [-.007,.198]
[[.066,.000],[.000,.479]], [-.015,-.024]
Hope this works out for you,
Jim