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Pages and Files
3 year old Jonathan...
3D Head Modeling Software
3D Printing!!! -- A Real Car
Aims of Education
Alexander Calder's Circus
Anatomy of a B1 Battle Droid
Anatomy of a Human
Anatomy of Musical Instruments -- Guitar History
Anatomy of Musical Instruments -- Saxophone
Anatomy of Musical Instruments -- Violin
Architecture -- Apartment Floor Plan
Architecture-- Filoli Gardens and House
Artificial Intelligence = AI
Arts & Culture by Google
Astronomy - Messier Chart
Astronomy - Very Large Telescope
Astronomy -- Constellations
Astronomy -- Galaxies
Astronomy -- Hands-on Universe
Astronomy -- IMax Saturn Spaceship Flyby...
Astronomy -- Night Sky Map
Astronomy -- Orrery Solar System Kit
Astronomy Picture of the Day
Automata - Toys that Move
Batman Paper Model
BioMedical Engineering -- Organ Regeneration
BioMedical Engineering -- Geometry Research about Viruses
Bongard Pattern Recognition Puzzles
CAD Images of Pythagorean Theorem
Careers in Design
Ceramic Tile Designs Worldwide
Clowns Go On Vacation -- Video in Progress
Design Education Blog (K-12)
Doodles -- with Vi Hart
Drones & Society
Drones & Society_Arts
Durer, Albrecht -- Renaissance Man
Engineering -- Introduction
Engineering -- Mechanical Engineering -- MIT Open Courseware
Engineering for the Other 90%
Engineering HS Model Bridge Contest
Engineering of Everyday Things -- Page 7 Xray Photographs
Engineering of Everyday Things -- Curriculum Outline
Engineering of Everyday Things -- Page 1 Photograph Introduction
Engineering of Everyday Things -- Page 2 Lesson Plan
Engineering of Everyday Things -- Page 3 Teachers' Guide
Engineering of Everyday Things -- Page 4 Cool Stuff_Book Cover
Engineering of Everyday Things -- Page 5 Cool Stuff_ Book Photos
Engineering of Everyday Things -- Page 6 Cool Stuff_Book Photos_2
Engineering, Go For It!
Evolution of Feathers
Fairchild Tropical Botanic Garden
Flickr_ Math World photos
Fractal Arts Tutorial
Fractals -- What are Fractals?
Fractals and Benoit Mandelbrot
Fractals PBL Curriculum
Geometric Delights -- a blog
Geometry Course -- Open Reference interactive excellent course
Geometry History & Quotations
GeoSphere Gears in Motion
Glass Ball Juggler
GPS = Global Positioning System
Graphic Arts and Design
Hathi Trust -- Digitized Books
Heilbrunn Timeline of Art History
History of Engineering
History of Mathematics
History of the Computer Timeline
How do you... List of 100 Topics
How it's Made -- Science Channel
How to... Instructional Essay Writing
Human Geometry & the Performing Arts
India Arts - Kolam
Jobs, Steve - Apple
Kinetic Geometry Sculpture
Magic Mirror Box
Mathematics and Multimedia
Moon Express, Inc.
Museum of Mathematics
National Geographic Magazine
Nets for Geometric Solids
NOVA -- PBS TV -- Science
Orchids (and other Flowers)
Origami -- Erik Demaine -- MIT Geometry
Origami -- Robert Lang
Origami -- Sara Adams
Origami Resource Center -- K-12
Paper Craft -- Valentine's Cake
Paper Models of Polyhedra
Papercraft and Model-Building
Patents -- Apple, Inc.
Patents -- Google Search
Pavilion of Polyhedreality
Privacy in the Digital World...
Puppets and How to Make Them
Quilt Design Patterns
Spirals in Nature
Sports Courts and Fields
Tiffany Stained-Glass Lamps
Tools of Science and Math
Tools of Science and Math 2
Tools of Science and Math 3
Tools of Science and Math 4
Tools of Science and Math 5
Toys from Trash
Tsunami Wave (Physics) -- Tragedy in Japan
Union of Concerned Scientists
Wikis in the Classroom
Fractals and Benoit Mandelbrot
A printed interview (of text and images) with the mathematician that discovered/invented Fractal Geometry in the mid- 20th Century. Benoit Mandelbrot. With lots of very cool computer-genrated pictures using Fractal Geometry equations, which define "Dimension" very differently than Traditional Euclidean Geometry..
Euclid's Geometry relies on regular 'smooth lines' connecting points into basic shapes, like triangles, squares, rectangles, circles...
Mandelbrot's Fractal Geometry is based on observing Nature's "rough" shapes:
---Clouds are not actually smooth curves, but dynamic systems of water droplets in air currents.
---Rivers are not actually smooth boundaried waterways, but dynamic systems of water and its contents interacting with "earthen" materials.
---Trees and plants do not grow smoothly, but they do grow symetrically (with rough edges, as seen with a microscope).
---Lightning does not travel in a straight line, but in jagged directions with jagged edges.
---Shorelines are not smooth lines, but dynamically-changing minutely-complex self-repeating rough-edged patterns.
---Mountains are not smooth triangles, but fractal accretions and weathered dissolvements... etc.
Do Google searches for "fractal images" and "mathematical models"... it's a whole new universe of mathematical understandings...
This is a "Fractal Fidget" paper model template for a dodecahedron printed with awesome color Fractal Art images. The creator suggested that it is a cool "fidget toy" to stare at while using your cell phone during a long conversation... I assume it copies well even when enlarged to handheld size...Because there's Lots to See in Those Patterns...
Now that you met the Inventor of Fractals and Fractal Images, you could visit a
Fractal Arts Website
to see some more amazing New Geometry images...and then that leads you to the online tutorials for making your own computer Fractal Images...
help on how to format text
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