Math Forum Internet News

Volume 3, Number 24

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15 June 1998                                   Vol. 3, No. 24

                 THE MATH FORUM INTERNET NEWS

IFS: Fractals - Riddle | Math Forum CIGS | Prometeo MJA - Abreu


  CLASSIC ITERATED FUNCTION SYSTEMS (IFS): FRACTALS - Riddle

      http://newton.agnesscott.edu/~lriddle/ifs/ifs.html

Larry Riddle of Agnes Scott College investigates several of 
the classic iterated functions systems and their associated 
fractals. Each IFS consists of affine transformations 
involving rotations, scalings by a constant ratio, and 
translations. Examples include animated constructions and,
where applicable, each contains: 

- a geometric description of how the fractal is constructed
- the IFS transformations
- the code for generating the fractal via a Lindenmayer 
  system (L-system)
- the similarity dimension of the fractal
- special properties and interesting facts about the fractals
- references

SELECT FROM: Sierpinski Gasket; Sierpinski Carpet; 
Sierpinski Pentagon; Heighway; Dragon; McWorter Pentigree;
Pentadentrite; Koch Curve; Koch Snowflake; Levy Dragon 


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       CORNER FOR INTERACTIVE GEOMETRY SOFTWARE (CIGS)

            http://mathforum.org/dynamic/

CIGS is the Math Forum's main area for resources in support
of teaching with dynamic, interactive geometry software such 
as Cabri Geometry and the Geometer's Sketchpad. 

Pages include instructional activities and lessons to read 
on the Web; sketches to study and/or download; a place for 
questions or conversations on the discussion group 
geometry-software-dynamic; links to sources of information 
and downloads of software; and help with configuring your 
browser and other questions you may have:

INTERACTIVE GEOMETRY CLASSROOM RESOURCES
http://mathforum.org/dynamic/classroom.html

SKETCHPAD RESOURCES AT THE MATH FORUM
http://mathforum.org/dynamic/sketchpad.links.html

SKETCHPAD RESOURCES ON THE WEB
http://mathforum.org/dynamic/sketchpad.weblinks.html

CABRI GEOMETRY CLASSROOM RESOURCES
http://mathforum.org/dynamic/cabri.links.html
       
    Don't miss the latest addition to the Math Forum's
    Sketchpad resource area: sketches to download on 
    MAXIMUM AREA AND PERIMETER, by David Purdy:

    http://mathforum.org/sketchpad/maxvol/
    
    
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  PROMETEO: EDUCACION INTERACTIVA EN LA RED - Jose Luis Abreu
                      
           http://vitalsoft.org.org.mx/Prometeo/

Simple applets for pedagogical uses, from Multimedia 
Java Applications (MJA). This Barcelona-based project 
includes pages in Spanish and English.

  Este proyecto se basa en el desarrollo de NIPPES
  (Núcleos Interactivos Para Programas Educativos): 
  applets muy sencillos de configurar que permiten 
  desarrollar interacciones con los datos más diversos. 

  Para que un applet sea un nippe, debe cumplir las 
  siguientes condiciones: 

  - Debe ser interactivo, es decir, no debe limitarse a 
    mostrar algo como si fuera sólo una imagen;
 
  - Debe ser configurable a través de sus parámetros de 
    manera que con cada configuración presenta un aspecto 
    diferente del tema que trata; 

  - Debe estar perfectamente documentado para facilitar 
    su utilización por cualquier creador de páginas WEB 
    educativas que desee utilizarlo.

Math Samples:
http://vitalsoft.org.org.mx/Prometeo/ejemplos.html

  - Conjuntos de Mandelbrot / The Mandelbrot Set
  - Figuras geométricas / Geometric figures
  - Funciones de variable real / Functions (cosine)
  - Poliedros regulares / Regular polyhedra
  - Superficies en 3D / 3D surfaces

For examples of MJA-teacher collaboration, see Suzanne
Alejandre's INTERACTIVE LESSONS:

  Studying Polyhedra
  http://mathforum.org/alejandre/applet.polyhedra.html

  Studying Mandelbrot Fractals
  http://mathforum.org/alejandre/applet.mandlebrot.html
       

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The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.
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