12/14/2023 0 Comments Easy tessellation in illustrator![]() I don't wanna select the letters because I want those to remain on screen. And I'll partially marquee these shapes right here with a Black Arrow tool, so that I select all this stuff. All right, so I'll go ahead and turn off that patterns layer for the moment. And this is the one and only way that this pattern can work out. So whereas with Type 14, we repeated the tile a total of six times, with Type 15, we repeat the tile a total of 12 times. And it tiles like this, which is much different than anything we've seen before. D is not spoken for, but it ends up working out automatically. And b is the same as 2a, or it could be 2c or 2e, since they're identical. And you need to bear in mind that where the sides are concerned, a equals c equals e, so those three sides are exactly the same. So we just need to take into account this data. So this shape has to look exactly like this, which is why it's so easy to draw. And notice that each and every angle is spoken for. So again, I've formatted the angles in bold and the sides in italic. And if you thought it had some pretty specific requirements, this one is more specific still. So 30 years after that Type 14 pentagon from Rolf Stein. Now, this pentagon was discovered by these guys, Casey Mann, Jennifer McLoud, and David Von Derau in 2015. That would be Command-Shift-PgDn on the Mac. And so I'm going to advance to the last artboard inside this document by pressing Ctrl-Shift-PgDn here on the PC. All right, so let's see how to create that perfectly tessellating Type 15 pentagon entirely from scratch here inside Illustrator. Here, let me show you exactly how it works. And even though it is very complicated, notice that we have to rotate it 12 times to get all the shapes that we need, it's actually pretty easy to draw. And it's gonna be the most complex pentagon of them all, which is Type 15, discovered in 2015, a full 30 years after Type 14. But we haven't drawn a darn thing which must be frustrating, which is why today, we are gonna draw one of those pentagons in Illustrator. And they're so very special because they tessellate and they do so monohedrally, meaning that you just repeat the same shape over and over again. Now, if you've been watching right along, you know that for the last three weeks, we've been discussing some very special, irregular convex pentagons. Selecting a region changes the language and/or content on .- Hey gang, this is Deke McClelland. You can then use this file to print a prototype of your model using a standard 3D printer. What is an STL file?Īn STL file uses a series of linked triangles (known as tessellation) to describe the surface geometry of a 3D design.
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