How I Made my Tessellation Tile
Reminiscence of Tesselating Doggies
- I didn’t really have a theme behind my tessellation. I never really had a solid idea until I finally made the thing. I think the closest thing to a theme I have is that it is made out of dogs, which is what I thought it looked like once I cut out a design.
- I started with a square for my tile. It was a 3” by 3” piece of cardstock that I drew a design on and made into a tile. I did this by translating the design on the top to the bottom and the right to the left.
- The only transformations I used in making the tessellations were translating the pre-image over 3” to the next spot. I did basically the same thing on the vertical translations as well.
- On the issue of whether tessellations are math or art, I think there is no straightforward answer. One could argue that they are math, because they are created using simple geometry. But they can also be seen as art, because they are beautiful and unique in many ways. One thing I think is that the issue could have been avoided altogether if not for M.C. Escher. He practically defined tessellations as art, and if not for him, they would be purely math. Of course, he could have also just stuck with his illusions and that would have done it too. So it is in part Escher’s fault that I even have to do this assignment.
All references to M.C. Escher are from The Regular Division of the Plane by M. C. Escher.