Creating Tessellations The Magic of M.C. Escher
A Biography of M.C. Escher A master at creating tessellations
What is a tessellation? Defenition: a shape being repeated over and over again covering a plane, or area leaving no gaps o...
There are four types of tessellating patterns <ul><li>rotation  </li></ul><ul><li>translation  </li></ul><ul><li>reflectio...
Tessellations help us to relate to the mathematical world Through symmetry
Today we will start by creating our own tessellating pattern <ul><li>Step 1:  Start by opening a photoshop document </li><...
Step 2 <ul><li>Go to View>click on Rulers </li></ul><ul><li>Make a new layer:   click on layer> new> layer </li></ul><ul><...
Step 3 <ul><li>Use your move tool, shaped like an arrow at the top of the tools palette and move your box to the center of...
Step 4 <ul><li>Now it is time to repeat the process from step three but this time cut a shape from the top and move it to ...
Step 5 <ul><li>Now comes the creative part………look at your “organic shape” and try to imagine that shape becoming something...
Step 6 <ul><li>Once you have your creation we need to make a selection of it…. </li></ul><ul><li>Hold the apple key and ho...
Step 7 <ul><li>Making copies and arranging your subject </li></ul><ul><li>Once you have your selection you can copy and pa...
Step 8 <ul><li>Arrange your shapes to create you tessellation </li></ul>
Step 9 <ul><li>Saving your work  </li></ul><ul><li>Depending on what you plan on doing with this work…you should save acco...
Step 10 <ul><li>Make sure to save a high resolution image and the smaller image for posting on the internet </li></ul><ul>...
Special thanks for inspiration and information: <ul><li>http://www.mcescher.com/ </li></ul><ul><li>http://mathforum.org/su...
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Creating A Tessellation using Photoshop

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A brief powerpoint explaining how to create a tessellation using Photoshop

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Creating A Tessellation using Photoshop

  1. 1. Creating Tessellations The Magic of M.C. Escher
  2. 2. A Biography of M.C. Escher A master at creating tessellations
  3. 3. What is a tessellation? Defenition: a shape being repeated over and over again covering a plane, or area leaving no gaps or overlapping…..like the squares below.
  4. 4. There are four types of tessellating patterns <ul><li>rotation </li></ul><ul><li>translation </li></ul><ul><li>reflection </li></ul><ul><li>and glide reflection </li></ul>
  5. 5. Tessellations help us to relate to the mathematical world Through symmetry
  6. 6. Today we will start by creating our own tessellating pattern <ul><li>Step 1: Start by opening a photoshop document </li></ul>File> New> Preset>Letter click OK (make sure to add a title to your work)
  7. 7. Step 2 <ul><li>Go to View>click on Rulers </li></ul><ul><li>Make a new layer: click on layer> new> layer </li></ul><ul><li>Click on the Rectangular Marquee tool </li></ul><ul><li>Create a box that is 2” inches square, hold shift while using the mouse..this will ensure that he box stays equal on all sides </li></ul><ul><li>Choose the paint bucket> choose a color and fill the box </li></ul><ul><li>Choose select> deselect </li></ul><ul><li>You now have your first square </li></ul>
  8. 8. Step 3 <ul><li>Use your move tool, shaped like an arrow at the top of the tools palette and move your box to the center of your page </li></ul><ul><li>Choose the eraser tool> select a #5 with a solid hardness </li></ul><ul><li>Now erase a curvy, jagged, individual line…don’t get to crazy right now…keep it simple….On the left side of the box </li></ul><ul><li>Now use your selection tool(the magic wand) and select the left most shape of the box(it should have a moving dotted line around it) </li></ul><ul><li>Choose Edit> Cut> Paste….your shape should be on a new layer…… </li></ul><ul><li>Now use your move tool and place this shape on the exact opposite side of the “old” square from where you cut it out </li></ul>
  9. 9. Step 4 <ul><li>Now it is time to repeat the process from step three but this time cut a shape from the top and move it to the bottom side of the “old” square </li></ul><ul><li>Now, you should have 4 layers…… a background, layer 1, 2, and 3 </li></ul><ul><li>We want to merge the three layers so we will have only two……. </li></ul><ul><li>Make sur e your top layer is selected or highlighted blue, Press and hold command/apple key and then push the letter “E” twice. </li></ul><ul><li>You should now have two layers… a background and layer 1 </li></ul>
  10. 10. Step 5 <ul><li>Now comes the creative part………look at your “organic shape” and try to imagine that shape becoming something unique, interesting, crazy, cool </li></ul><ul><li>Add lines with your eraser tool or choose the pain brush and add what ever comes to your mind </li></ul><ul><li>Try to think back to the video of M.C. Escher….. </li></ul><ul><li>Look around the room for ideas </li></ul><ul><li>Use your imagination </li></ul>
  11. 11. Step 6 <ul><li>Once you have your creation we need to make a selection of it…. </li></ul><ul><li>Hold the apple key and hover your mouse over the thumbnail of layer 1 </li></ul><ul><li>Click the mouse and your image should have a dotted line around it…? </li></ul>
  12. 12. Step 7 <ul><li>Making copies and arranging your subject </li></ul><ul><li>Once you have your selection you can copy and paste or hold the apple key and press “C” to copy and then keep holding the apple key and press “V” to paste. Do this multiple times and you will have multiple copies on multiple layers </li></ul><ul><li>With Photoshop…layers are a good thing </li></ul>
  13. 13. Step 8 <ul><li>Arrange your shapes to create you tessellation </li></ul>
  14. 14. Step 9 <ul><li>Saving your work </li></ul><ul><li>Depending on what you plan on doing with this work…you should save accordingly. </li></ul><ul><li>First File> Save as> Jpeg (full size, high resolution for large prints) save to a folder on desktop </li></ul><ul><li>We will then go to image> image size> pixel dimensions…..change the largest dimension to 900 pixels. You should see the Megabytes (MB) change from 24.1mb to 1.79mb. This is a good size for us as we are posting our work on the MOODLE website. </li></ul><ul><li>Click ok </li></ul><ul><li>File> save as> format=jpeg> save </li></ul>
  15. 15. Step 10 <ul><li>Make sure to save a high resolution image and the smaller image for posting on the internet </li></ul><ul><li>Post your smaller image under 2mb on moodle </li></ul>You should have a complete Tessellation that looks interesting to say the least…the options are endless! Maybe you can become the next master like Escher!
  16. 16. Special thanks for inspiration and information: <ul><li>http://www.mcescher.com/ </li></ul><ul><li>http://mathforum.org/sum95/suzanne/whattess.html </li></ul><ul><li>http://www.ims.k12.nj.us/Webquests/tesselation/tesselation.htm </li></ul><ul><li>http://mathforum.org/~sanders/geometry/GP08CreatingTessellations.html </li></ul>
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