The Wonderful World of Fractals

The Wonderful World of Fractals FULL S.T.E.A.M. AHEAD INTO THE HIDDEN DIMENSION

Kevin Fogelson

Antioch Upper Grade School

Antioch School District 34

Graphic Arts Teacher

Kfogelson@antioch34.com

DROPBOX: FRACTAL PROGRAM WEBSITES

GOOGLE DOCS: FRACTAL PROGRAM WEBSITES

PRESENTATION QR CODE

WHAT IS A FRACTAL?

(Adjective) Any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the same size (Merriam-Webster Dictionary).

KOCH SNOWFLAKE

Discovered in 1904 by Swedish Mathematician Niels Fabian Helge von Koch

Fractal geometry created with equilateral triangles

KOCH SNOWFLAKE FRACTAL VIDEO (0:00 - 3:10)

Self-Similar
Repetition of Pattern
Expanding Symmetry
Infinite Perimeter

Benoit Mandelbrot coined the term fractal in 1975

Benoit Mandelbrot's early access to IBM computers helped generate his fractal in 1979

The development of technology led to faster mathematical calculations in which Benoit was able to plot data, generate graphs, and prove that fractals exist

Graph The Mandelbrot Curve

The Mandelbrot Set is Benoit's signature fractal

Fractals are a celebration of art, math, and science

PBS NOVA FRACTALS: HUNTING THE HIDDEN DIMENSION VIDEO [6:10-7:42]

"THE GREAT WAVE OFF KANAGAWA"

THE FRACTAL WAVES OF KATSUSHIKA HOKUSAI VIDEO (11:09-12:08)

THE FRACTAL NATURE OF JACKSON POLLOCK'S PAINTINGS VIDEO

WAYS TO IMPLEMENT FRACTALS INTO YOUR CLASSROOM

FRACTAL INSPIRED DRAWINGS

FRACTAL ORIGAMI

ROSE ORIGAMI TUTORIAL

FLOWER ORIGAMI TUTORIAL

FRACTAL ULLAGAMI

ULLAGAMI TUTORIAL

PHOTOSHOP FRACTAL PLUGINS

PHOTOSHOP PLUGIN TUTORIAL

FRACTALIUS PLUGIN

FRACTALIUS G4 PLUGIN

ADOBE PHOTOSHOP FRACTAL PROJECTS

"Fractal Face 19" by Peter Krijger

PHOTOSHOP FRACTAL PORTRAIT

PHOTOSHOP LAYERS & MASK TUTORIAL

"Fractal Baroque" by Bill Beath

PHOTOSHOP FRACTAL MANDALA

PHOTOSHOP MANDALA TUTORIAL

ADOBE ILLUSTRATOR & AFTER EFFECTS FRACTAL ANIMATION

ONLINE BROWSER (CHROME)

FRACTAL LAB

Created by Tom Beddard

FRACTAL LAB TUTORIAL

FULL SCREEN ON PC: F11

FULL SCREEN ON MAC: COMMAND+SHIFT+F

FRACTAL TREE GENERATOR

FRACTAL TREE GENERATOR TUTORIAL

DOWNLOADABLE FRACTAL PROGRAMS

FRACTAL GROWER [WINDOWS, FREE]

FRACTAL GROWER TUTORIAL

FRAQTIVE [WINDOWS, FREE]

FRAQTIVE TUTORIAL

MANDELBULBER [WINDOWS & MAC, FREE]

MANDELBULBER TUTORIAL

Antioch Upper Grade School Student Designs

ULTRA FRACTAL [WINDOWS & MAC, FREE]

ULTRA FRACTAL [WINDOWS & MAC, $29-$99]

ULTRA FRACTAL TUTORIAL

OXIDIZER [MAC, FREE]

OXIDIZER TUTORIAL

FRACTAL iPAD APPS

FRAX LITE [APP, FREE]

FRAX [APP, $0.99]

FRAX TUTORIAL

FRACTOSCOPE [APP, FREE]

FRACTOSCOPE TUTORIAL

subBlue VIDEOS

FRACTAL ILLUSIONS

Created By

Kevin Fogelson

Appreciate