LOGICVILLE

Mathematical Puzzles

Dual Cryptograms

Cryptarithms
Anagrams Cryptograms Doublets
Logic Puzzles Magic Word Squares Sudoku
Chess Fractal Puzzles Tangrams

 

 

 

Intellectual Puzzles
Bookstore
List of Puzzles
Analytical Puzzles
Christmas Puzzles
New Year's Puzzles
Fractal Puzzles
Easter Puzzles
Nature Fractals
Encrypted Quotations
Fractal Images
Baseball Puzzles
Daily Fractal Puzzle
Math Recreations
Algebra Placement
Cryptogram Challenge
Sudoku
Tangrams
Tangram Stories
Puzzle Categories
Thanksgiving Quotes
Christmas Quotes
Christmas Logic
New Year Resolutions
Solutions
Advertise With Us

 

 

Previous Topic

Next Topic

CANTOR SET

The Cantor Set was originated by Georg Cantor, a German Mathematician, in 1883.  It is a mathematically generated fractal pattern showing self-similarity at all scales.

The Cantor Set is generated as follows.

1) Draw a solid line segment.

2) Divide the line segment into three equal segments.

3) Remove the middle segment.

4) Divide each of the remaining line segments into three equal smaller segments, and remove the middle segments from each.

5) Keep repeating step 4.

The Cantor Set is represented by all the remaining points after doing the above process.  The figure below shows the  development stages of the Cantor Set at each iteration.

 

 

More Mathematical Recreations

Previous Topic

Next Topic

 

Custom Search

MX iTunes, App Store, iBookstore, and Mac App Store

 

Hosted By Web Hosting by PowWeb

2000-2013 Logicville