{"id":14582,"date":"2024-11-10T12:57:57","date_gmt":"2024-11-10T19:57:57","guid":{"rendered":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/?p=14582"},"modified":"2024-11-10T12:57:57","modified_gmt":"2024-11-10T19:57:57","slug":"large-assignment-5-tiling-german","status":"publish","type":"post","link":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/2024\/11\/10\/large-assignment-5-tiling-german\/","title":{"rendered":"Large Assignment 5: Tiling – German"},"content":{"rendered":"\n

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

For this part of the assignment I used the process we developed in class to generate my Escher tiles. The shape I made resembles a puzzle piece generated from the two “InterpCrv” lines I made in rhino. I spent a lot of time trying to come up with a way to mirror the right side line to no avail, but my Idea was to make a different shape than the one I got as pictured below. I had some problems in generating a closed base tile until I realized that the lines drawn in Rhino had to have both starting and ending points somewhere on their respective axis (x, y). Once I figured that out it was easy to generate randomly shaped tiles.<\/p>\n\n\n\n

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What I wanted to create<\/figcaption><\/figure>\n\n\n\n
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Final Escher base tile<\/figcaption><\/figure>\n\n\n\n
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Plane tiling with coloring<\/figcaption><\/figure>\n<\/figure>\n\n\n\n

For the next part I made an hexagonal base tile. I wanted my hexagonal tiling to be offset from row to row and it took me a little while to figure out the geometry. In the end I realized that the distance from the center of one hexagon to the next horizontally was the same as diagonally, using the Bravais 2D lattice structure we saw in class. In my case for the hexagonal tiles, a = b = (Radius * square root (3)). The angle used is 120 degrees. In my hexagon tiles generator I added parameters to move the lattice around in the Rhino grid since I dislike everything starting at the origin. Additionally, I added a parameter to add space between tiles. My assumption was that a little bit of space between tiles would make for easy printing of many tiles at a time (I learned this assumption was wrong later on).<\/p>\n\n\n\n

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Tiling of the plane with hexagonal tiles<\/figcaption><\/figure>\n\n\n\n
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Base hexagonal tile<\/figcaption><\/figure>\n<\/figure>\n\n\n\n

Part 2: 3D Printed Tiles<\/h2>\n\n\n\n

I had a hard time coming up with an interesting idea to add complexity in the z direction. I spent a ridiculous amount of time trying to make a snowflake-like line that I could then use to loft from the top of my hexagonal tiles, but I couldn’t make something useful in Grasshopper. I managed to make a model manually by baking the individual objects and then using boolean operations in Rhino, but ultimately I think that defeats the purpose of parameterizing the design process. After taking a second look at the surface morphs I already made, I had an idea of using a surface to “cut” my tiles to make the top surface interesting. I made a few designs and decided that I wanted to see if my puzzle like object would work in real life and fit together after printing. In theses models, the surface sitting on the XY plane is flat, and the top surface has been cut to conform to the wave surface.<\/p>\n\n\n\n

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Base tile<\/figcaption><\/figure>\n\n\n\n
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Attempt at making a snowflake<\/figcaption><\/figure>\n\n\n\n
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Hexagonal Tiling with waveform<\/figcaption><\/figure>\n\n\n\n
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Tiling of the plane with waveform<\/figcaption><\/figure>\n<\/figure>\n\n\n\n

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

For this part I used the program we developed in class. The changes I made to it were creating my own surfaces to morph onto. I inadvertently deleted my original Escher tile lines, so I made new ones. The first surface I morphed onto is a concentric wave surface, akin to the surface of water when something is thrown in it. The second morph uses a vessel surface. Both surface morphs use the new Escher tiles shape that I made with new lines.<\/p>\n\n\n\n

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Final Printed models<\/h2>\n\n\n\n

I ultimately decided to print the puzzle-like model with the waveform top surface. I used different filament colors for a more dramatic effect. It was necessary to do some minor sanding of the “dovetail” joints of the tiles to make them fit easily. I made several attempts to print all the pieces at once the first time and that resulted in poor quality. I then tried printing fewer pieces at a time until I tried printing in pairs and that gave me a good final product.<\/p>\n\n\n\n

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Grasshopper files<\/h2>\n\n\n\n

I am including my Rhino and Grasshopper files here. All the code I used to generate my models is in the single Grasshopper file. I tried uploading them both in a .zip file but the website wouldn’t let me. <\/p>\n\n\n\n

GermanBejaranoTiling<\/a>Download<\/a><\/div>\n\n\n\n
GermanBejaranoTiling<\/a>Download<\/a><\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Part 1: 2D Tiles For this part of the assignment I used the process we developed in class to generate my Escher tiles. The shape I made resembles a puzzle piece generated from the two “InterpCrv” lines I made in rhino. I spent a lot of time trying to come up with a way to mirror the right side line […]<\/p>\n","protected":false},"author":47,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[61],"tags":[],"class_list":["post-14582","post","type-post","status-publish","format-standard","hentry","category-tiling24"],"_links":{"self":[{"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/posts\/14582","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\/47"}],"replies":[{"embeddable":true,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/comments?post=14582"}],"version-history":[{"count":7,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/posts\/14582\/revisions"}],"predecessor-version":[{"id":14658,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/posts\/14582\/revisions\/14658"}],"wp:attachment":[{"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/media?parent=14582"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/categories?post=14582"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/handandmachine.org\/classes\/computational_fabrication\/wp-json\/wp\/v2\/tags?post=14582"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}