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Fractal Designs using Pattern Blocks

Fractal Designs from Substitution Tilings. How to make designs. Mathematics behind the designs. This site contains fractal designs created using the pattern block shapes. This process is demonstrated in the pages on this site. All of the designs use the pattern block shapes. Most supplement with other shapes that are compatible with pattern blocks. The site has both bitmapped images (GIF) and PDF files so you can zoom in to see more detail. For some new original work . Designs were created using ptile.

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Fractal Designs using Pattern Blocks | patternblockhead.com Reviews

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Fractal Designs from Substitution Tilings. How to make designs. Mathematics behind the designs. This site contains fractal designs created using the pattern block shapes. This process is demonstrated in the pages on this site. All of the designs use the pattern block shapes. Most supplement with other shapes that are compatible with pattern blocks. The site has both bitmapped images (GIF) and PDF files so you can zoom in to see more detail. For some new original work . Designs were created using ptile.

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Fractal Designs using Pattern Blocks | patternblockhead.com Reviews

https://patternblockhead.com

Fractal Designs from Substitution Tilings. How to make designs. Mathematics behind the designs. This site contains fractal designs created using the pattern block shapes. This process is demonstrated in the pages on this site. All of the designs use the pattern block shapes. Most supplement with other shapes that are compatible with pattern blocks. The site has both bitmapped images (GIF) and PDF files so you can zoom in to see more detail. For some new original work . Designs were created using ptile.

INTERNAL PAGES

patternblockhead.com

1

Gallery of Designs

http://www.patternblockhead.com/gallery.htm

This page contains some of my favorite fractal designs made using pattern blocks. Click on the design to see a bigger GIF version, or see the PDF version to zoom into the design. Back to the Index.

2

How to Make Designs

http://www.patternblockhead.com/howto.htm

How to make designs. The Pattern Block Pieces. Introduction to Substitution Tiling. Click on a design below to see more information on how I made each design. Back to the Index.

3

Four Fours problem: Any number with One Four

http://www.patternblockhead.com/4444/onefour.htm

Four Fours problem: Any number with One Four. The four fours puzzle is a recreational puzzle that asks: can you create an expression using four fours and some arithmetic operations that evaluates to some number n? The problem often specifies some operations such as addition, subtraction, multiplication, division, exponentiation, concatenation (e.g. 44), negation, decimal point, repeating decimal, square root, nth root, and factorial. Or the gamma function (see Dave Wheeler’s site. Times), for n 4. This d...

4

Mathematics behind the Designs

http://www.patternblockhead.com/math.htm

Mathematics behind the Designs. These pages demonstrate how to derive the fractal dimension of the different fractal designs. Back to the Index.

5

Ideas for other Fractal Designs

http://www.patternblockhead.com/ideas.htm

Ideas for other Fractal Designs. Here are some ideas for other fractal designs. 45-degree design using 30-degree pieces. Infinite set of 45-degree pieces. Tiling with 45-degree pieces. Tiling using 30-degree pieces. Tiling using square pieces. 30-degree tiling using 20-degree pieces. 30-degree tiling using triangles. Infinite set of 30-degree tiles. Another tiling using 30-degree pieces. Other 30-degree tiling using 20 degree pieces. Other 30-degree tiling using triangles. In many of the tilings. Besides...

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geometricolor.wordpress.com

bookOfGames.ch is online! | Geometry in color

https://geometricolor.wordpress.com/2014/12/28/bookofgames-ch-is-online

Playing around with the kaleidoscope. BookOfGames.ch is online! December 28, 2014. But now I have finished a first part, which is online as bookOfGames.ch. Have a look at it and leave me your comments. Just now it has only two puzzles and a game; but more will be added. This entry was posted in Puzzles and Games. Playing around with the kaleidoscope. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public).

geometricolor.wordpress.com

putting the kaleidoscope together | Geometry in color

https://geometricolor.wordpress.com/2014/02/03/putting-the-kaleidoscope-together

Class kaleidoscope – the code. Kaleidoscope – code of the main tab →. Putting the kaleidoscope together. February 3, 2014. You find the code of the main tab in the next post. It needs “ ColorLookup. 8220;, “ Coordinates. 8220;, “ Kaleidoscope. 8220;, “ MakeOutputImage. 8220;, “ MakeScreenImage. 8220;, “ ProgressReport. 8220;, “ Vector. 8221; and “ readWriteImages. In “MakeOutputImage” we have to change the “theImage”-function into:. The “mapVector”-function in MakeScreenImage should be. You are commentin...

geometricolor.wordpress.com

Playing around with the kaleidoscope | Geometry in color

https://geometricolor.wordpress.com/2014/02/05/playing-around-with-the-kaleidoscope

Kaleidoscope – code of the main tab. BookOfGames.ch is online! Playing around with the kaleidoscope. February 5, 2014. You can do things with the computer kaleidoscope you would not try with a real one. Simply look again through the kaleidoscope at an earlier image of the kaleidoscope. Using different scales I got thus:. This entry was posted in Kaleidoscopes. Kaleidoscope – code of the main tab. BookOfGames.ch is online! Leave a Reply Cancel reply. Enter your comment here. Address never made public).

geometricolor.wordpress.com

Geometry in color | hacking symmetries | Page 2

https://geometricolor.wordpress.com/page/2

Newer posts →. Class MakeScreenImage – the code. January 21, 2014. Fast images with the class MakeScreenImage. January 21, 2014. We can create high quality image files of high-resolution using cubic pixel interpolation and anti-aliasing as discussed in “ Interpolation of pixels. 8221; and “ Smoothing and anti-aliasing. 8220; But this takes a lot of time and is not suitable for on-screen images. Instead we have to generate screen images very rapidly for interactive image editing. MakeScreenImage makeScree...

geometricolor.wordpress.com

kaleidoscope – code of the main tab | Geometry in color

https://geometricolor.wordpress.com/2014/02/03/kaleidoscope-code-of-the-main-tab

Putting the kaleidoscope together. Playing around with the kaleidoscope →. Kaleidoscope – code of the main tab. February 3, 2014. This entry was posted in programming. Putting the kaleidoscope together. Playing around with the kaleidoscope →. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. Get eve...

geometricolor.wordpress.com

class Kaleidoscope | Geometry in color

https://geometricolor.wordpress.com/2014/02/02/class-kaleidoscope

Geometry of kaleidoscopes with periodic images. Class kaleidoscope – the code →. February 2, 2014. The class Kaleidoscope collects all mappings needed to make the four periodic kaleidoscopes. We first have to create an object with. And then we can choose one of the kaleidoscopes. With. Kaleidoscope.chooseRectangle(50,120);. To create a kaleidoscopic picture we get the image coordinates for each of its pixels as discussed in “ improving the class Coordinates. The other kaleidoscopes result from. You find ...

geometricolor.wordpress.com

Peter Stampfli | Geometry in color

https://geometricolor.wordpress.com/author/peterstampfli

Author Archives: Peter Stampfli. BookOfGames.ch is online! December 28, 2014. It is a long time that I haven’t posted something in this blog, although I have many ideas to work out and mistakes to correct. But I had to use all my spare time for a new project: Create a … Continue reading →. Playing around with the kaleidoscope. February 5, 2014. Kaleidoscope – code of the main tab. February 3, 2014. Putting the kaleidoscope together. February 3, 2014. Class kaleidoscope – the code. February 2, 2014. Class...

geometricolor.wordpress.com

class kaleidoscope – the code | Geometry in color

https://geometricolor.wordpress.com/2014/02/02/class-kaleidoscope-the-code

Putting the kaleidoscope together →. Class kaleidoscope – the code. February 2, 2014. This entry was posted in Kaleidoscopes. Putting the kaleidoscope together →. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. BookOfGames.ch is online!

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Fractal Designs using Pattern Blocks

Fractal Designs from Substitution Tilings. How to make designs. Mathematics behind the designs. This site contains fractal designs created using the pattern block shapes. This process is demonstrated in the pages on this site. All of the designs use the pattern block shapes. Most supplement with other shapes that are compatible with pattern blocks. The site has both bitmapped images (GIF) and PDF files so you can zoom in to see more detail. For some new original work . Designs were created using ptile.

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