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HOMEPAGE
FREQUENTLY ASKED QUESTIONS
PLATONIC SOLIDS
Dodecahedron
Icosahedron
Hexahedron (Cube)
Octahedron
Tetrahedron
and related structure: Rhombic Triacontahedron
PLATONIC SOLID FRACTALS
Dodecahedron Fractal
Icosahedron Fractal
Hexahedron Fractal (Menger Sponge)
Octahedron Fractal
Tetrahedron Fractal
THE SIERPINSKI TETRAHEDRON
(a geometric fractal and its complement)
BUILD YOUR OWN SIERPINSKI TETRAHEDRA
(a photographic essay for parents and young builders)
PHOTOGRAPHS OF SIERPINSKI TETRAHEDRA (with/at)
Arizona Clouds and Sunsets
Arizona State University
Atlantic Surf and Sand (Boca Raton, FL)
Butterflies at the Desert Botanical Gardens (Phoenix, AZ)
Boyce Thompson Arboretum State Park (Superior, AZ)
Desert Botanical Gardens (Phoenix, AZ)
Everglades National Park (Florida)
Flagstaff in Fall (Northern AZ)
Grand Canyon East Rim (Desert View Drive)
Grand Canyon South Rim (Hermit's Rest Route)
Grand Canyon South Rim (Mather Point)
Gumbo Limbo Environmental Complex (Boca Raton, FL)
Morikami Museum and Japanese Gardens (Delray Beach, FL)
Oak Creek Canyon in Autumn (Northern AZ)
The Phoenix Zoo
Red Rocks of Sedona (Northern AZ)
Sedona Viewed Thru-Tetras
PLUS:
Butterfly Gallery (only butterflies)
Boyce Thompson Arboretum in the Rain
Duckweed (Lemna gibba) at the Phoenix Zoo
First Images
Math Structures in Falling Snow
Various Mathematical Structures at ASU
Windmills, Webs, and Lines (viewed Thru-Tetras)
MATH STRUCTURES COLORING PAGES:
with Children:
Building
Playing
Setting in Nature
Careful Placement
Harmonizing Colors
Single Glimpses
Sierpinski Girls
Preschooler Story
What is THIS structure?
of Sierpinski Tetrahedra & Icosahedra in Nature:
Agaves and Aloes
Animals
Arizona Desert Scenery
Birds
Butterflies
Flowers
Grasses
Plants
Roses
Snow
SW Artifacts/Exhibits
Trees
Water
Wildflowers
WEB-BASED FRACTALS PRESENTATIONS (PDF & PPT):
Fractals: a "Symmetry" Approach
(interdisciplinary: highlights magnification
symmetry and fractals-chaos connections)
Fractals in Nature at Grand Canyon National Park
(highlights similarity in nature at GCNP)
plus accompanying FOLLOW-UP IMAGES
WHAT ABOUT FIBONACCI NUMBERS?
CONTACT INFORMATION

The Tetrahedron Fractal

Hmmm... what might this be?
Of course, it is the Sierpinski tetrahedron! Lots of pictures of THIS fractal-of-the-Platonic-solids right on this site, and many other websites as well. It is a famous fractal.
The tetrahedron has four vertices, and the tetrahedron fractal grows in powers of 4. We have
seen only one deviance from this rule: the Menger Sponge, because the cube has only 8
vertices whereas the cube fractal grows in powers of 20.
More to come soon. This page has barely gone up on 27 May 2005.

The contents of this web page are © Copyright Gayla Chandler.
Permission must be sought for all but personal use for study or enjoyment.