Fractal Polygons: Difference between revisions
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<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script> | <script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script> | ||
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script> | <script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script> | ||
<form><textarea id="inputtext" rows=3 cols=35 wrap="off" style="width:600px;"> | <form><textarea id="inputtext" rows=3 cols=35 wrap="off" style="width:600px;"> | ||
function fracPolygone(corner,len,shrink,recurs) { | function fracPolygone(corner,len,shrink,recurs) { | ||
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<script language="JavaScript"> | <script language="JavaScript"> | ||
var brd = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 1, unitY: 1}); | var brd = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 1, unitY: 1}); | ||
var t = | var t = brd.createElement('turtle'); | ||
function run() { | function run() { | ||
brd.suspendUpdate(); | brd.suspendUpdate(); | ||
Revision as of 15:09, 21 January 2009
With turtle graphics it is quite easy to construct in a recursive manner regular polygones.
It is possible to play around with this example: In the last line of the input window there is the command
fracPolygone(5,100,0.4,5);
The meaning of the parameters is
- 5: number of vertices of the regular polygone,
- 100: length of a side of the initial polygone,
- 0.4: shrink factor from one level to the next,
- 5: number of recursion steps.
References
- Peter Baptist, Wolfgang Neidhardt, Alfred Wassermann: Symmetry and Regular Polygons, Prispevki k poucevanju Matematike, The Improvement of Mathematics Education in Secondary Schools: A Tempus Project, Maribor 1996.
