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 also references a very common ceramic tile shape.
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.
Part 2: 3D Printed 3D Tiles
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″.
Part 3: Surface Morph
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.
Grasshopper Files
Grasshopper Files: https://handandmachine.org/classes/computational_fabrication/wp-content/uploads/2023/11/CamilaFriedmanGerliczTiling.gh
All of my tilings are in one file. I have disabled them all so that it doesn’t crash when you open it.
I just adore all of your work, and I find the lace-like hexagonal tiling you did especially compelling. The guides were a very clever method!
Hi Camila, this project is so lovely. The way the paper weaved together and the colors mix is really beautiful. The curves you employed are awesome and it’s so cool they can tile together like that. I also love your use of the math function in the other pieces of this project, and love the idea of holding onto math!
What a wonderful way of using tiling. I love your 3D tile shapes, you could potetially use them or make others for a board game… a new type of checkers or something. Really great pieces
Hello,
I love the way your tiles weave together! You could make money with your work!
Jingbo