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written by Tim Chartier
The "Mountains of Fractals" article in the Math DL develops algorithms to produce coastlines and mountains in two dimensions by adapting mathematical ideas related to the construction of such fractals as Koch's curve. EJS is used to create a hands-on activity that allows a reader to create a coastline with a rubberband, six-sided die, and thumb tacks. Java applications allow for exploration of these algorithms and the influence of their associated parameters. After discussing 2D fractal mountains, this article extends the 2D algorithm to produce 3D mountains. Finally, mathematical issues in random number generation are discussed. More specifically, linear congruential generators are considered and shown to be suitable as a random number generator for the 3D fractal landscape algorithm. The use of fractal landscapes in movies is also discussed.

Please note that this resource requires at least version 1.5 of Java (JRE).
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Subjects Levels Resource Types
General Physics
- Computational Physics
Modern Physics
- Chaos & Non-linear Dynamics
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Curriculum
= Interactive Simulation
= Tutorial
- Reference Material
= Article
Intended Users Formats Ratings
- Educators
- Learners
- application/java
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Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Tim Chartier
Record Cloner:
Metadata instance created September 11, 2009 by Wolfgang Christian
Record Updated:
June 9, 2011 by Bruce Mason
Other Collections:

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Record Link
AIP Format
T. Chartier, (2008), WWW Document, (http://mathdl.maa.org/jsp/search/searchResults.jsp?url=http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=1795).
AJP/PRST-PER
T. Chartier, Mountains of Fractals, (2008), <http://mathdl.maa.org/jsp/search/searchResults.jsp?url=http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=1795>.
APA Format
Chartier, T. (2008). Mountains of Fractals. Retrieved October 21, 2014, from http://mathdl.maa.org/jsp/search/searchResults.jsp?url=http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=1795
Chicago Format
Chartier, Tim. Mountains of Fractals. 2008. http://mathdl.maa.org/jsp/search/searchResults.jsp?url=http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=1795 (accessed 21 October 2014).
MLA Format
Chartier, Tim. Mountains of Fractals. 2008. 21 Oct. 2014 <http://mathdl.maa.org/jsp/search/searchResults.jsp?url=http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=1795>.
BibTeX Export Format
@misc{ Author = "Tim Chartier", Title = {Mountains of Fractals}, Volume = {2014}, Number = {21 October 2014}, Year = {2008} }
Refer Export Format

%A Tim Chartier
%T Mountains of Fractals
%D 2008
%U http://mathdl.maa.org/jsp/search/searchResults.jsp?url=http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=1795
%O application/java

EndNote Export Format

%0 Electronic Source
%A Chartier, Tim
%D 2008
%T Mountains of Fractals
%V 2014
%N 21 October 2014
%9 application/java
%U http://mathdl.maa.org/jsp/search/searchResults.jsp?url=http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=1795


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The AIP Style presented is based on information from the AIP Style Manual.

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