{"id":7712,"date":"2023-11-15T21:50:14","date_gmt":"2023-11-15T21:50:14","guid":{"rendered":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/?p=7712"},"modified":"2023-11-25T16:05:58","modified_gmt":"2023-11-25T16:05:58","slug":"camila-la5-tiling","status":"publish","type":"post","link":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/2023\/11\/15\/camila-la5-tiling\/","title":{"rendered":"Camila LA5: Tiling"},"content":{"rendered":"\n

Part 1: 2D Tiles<\/h2>\n\n\n\n

I enjoyed figuring out the tiling and tessellations of the plane. I used the code we built in class and chose simple curves to make my Esher tessellation from a parallelogram. I used this for my 3D tiles, so I wanted the shape to be fairly simple. I like that it looks like fish scales, but also references a very common ceramic tile shape. <\/p>\n\n\n\n

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I found it a little tricky to translate what we did in the class to the hexagonal tiling. Once I realized that the vectors start in the center of the hexagon, I made my base hexagon centered at the origin and just edited three of the sides. I used trial and error to figure out what parts of the lattice corresponded to each edge. I decided to use more complicated curves for this tessellation. I drew guides and made windy curves that would interlock, but leave a small hexagon in the middle. I used three colors and the resulting tessellation looked like a woven piece of fabric. I used the laser cutter to make some tessellations out of colored paper.<\/p>\n\n\n\n

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Paper Color Studies<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n
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Part 2: 3D Printed 3D Tiles<\/strong><\/h2>\n\n\n\n

I decided to use my parallelogram tessellation from Part 1 for my 3D tiles. I then used a 3D math function that I like and placed it over the tiling. I put a circle in the center of each tile and projected it up to the math surface. I lofted the projected circle to each tile to make my 3D tiles. I wanted a lot of tiles so that the math surface could be seen clearly. I printed 64 tiles that were each about 1\/2″x1\/2″.<\/p>\n\n\n\n

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Part 3: Surface Morph<\/h2>\n\n\n\n

For the surface morph, I decided to continue to work with the math function I used for part 2 and a similar parallelogram tessellation. I changed the angle of the lattice to 90 degrees so that the morph worked easier. I made 3D tiles that were just the whole shape of the math function about each tile. I colored them using 3 Colors and morphed them onto a simple cup shape. I like the idea of the hand touching math, so this cup has a math function to hold onto. <\/p>\n\n\n\n

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Grasshopper Files<\/h2>\n\n\n\n

Grasshopper Files: https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-content\/uploads\/2023\/11\/CamilaFriedmanGerliczTiling.gh<\/a> <\/p>\n\n\n\n

All of my tilings are in one file. I have disabled them all so that it doesn’t crash when you open it. <\/p>\n","protected":false},"excerpt":{"rendered":"

Part 1: 2D Tiles I enjoyed figuring out the tiling and tessellations of the plane. I used the code we built in class and chose simple curves to make my Esher tessellation from a parallelogram. I used this for my 3D tiles, so I wanted the shape to be fairly simple. I like that it looks like fish scales, but […]<\/p>\n","protected":false},"author":35,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[43,1,24],"tags":[],"class_list":["post-7712","post","type-post","status-publish","format-standard","hentry","category-tiling_23","category-uncategorized","category-studentwork23"],"_links":{"self":[{"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/posts\/7712","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/users\/35"}],"replies":[{"embeddable":true,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/comments?post=7712"}],"version-history":[{"count":10,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/posts\/7712\/revisions"}],"predecessor-version":[{"id":8248,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/posts\/7712\/revisions\/8248"}],"wp:attachment":[{"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/media?parent=7712"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/categories?post=7712"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/tags?post=7712"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}