Tessellations

Reference Topics 9-3

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This site investigates the four-color problem:
https://mathshistory.st-andrews.ac.uk/HistTopics/The_four_colour_theorem/

A beautiful gallery of fractal designs are found on these sites:
http://fractals.hauner.cz/1

This site shows the colorful answer to Problems 24 and 25:
http://reglos.de/pentominos/

This site has many links:
https://mathshistory.st-andrews.ac.uk/HistTopics/fractals/

This site discusses … See the whole entry

Section 9.3: Topology and Fractals

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9.3 Outline

  1. Topology
    1. topologically equivalent figures
    2. planar curve
    3. closed curve
    4. interior/exterior
    5. simple curve
    6. Jordan curve
    7. invariant property
    8. genus
  2. Four-color problem
  3. Fractal geometry
  4. Tessellations

 

9.3 Essential Ideas

Two geometric figures are said to be topologically equivalent if one figure can … See the whole entry