What polygons did you start with and how did you alter it? The Idea and theme behind my tessellation is fish. I got it from looking at angel fish and their odd shape. Because this is a tessellation it means there are no gaps or spaces between tiles. So it will match up perfectly.
What polygons did you start with and how did you alter it? The polygon I started of with was a square. I altered the outside of the square and translated it over to the other side twice. This is what gives it the fish effect.
What transformations describe how your pre-image tile moved to create your two image tiles? First I started off with a sticky note, so it was a perfect square. Then I cut off a shape and translated it to the other side. Then I did this again with a different shape and then translated it across the paper. This made the shape of the fish.
In your opinion are tessellations math or art? I think tessellations are art. I used very little math to construct my tessellation. I didn't use a compass to make the square I didn't do a rotating tile off of a triangle. I translated a square. Translating is the only math I used to construct my tessellation. On the other hand there are other methods to making tessellation that would involve more math than what I used. His painstaking craft absorbs him to such an extent and makes such demands on his time and attention the he sometimes forgets it is only means or a medium , and not an end in itself. To me this means that it takes awhile to create good quality art and that struggling with it is okay. I had a hard time coming up with my tessellation. Also that tessellations have no end to them. Tessellations are art because they take a long time to create and because they never end.
SOURCE: Bool, F.H., Kist, J.R., Locher, J.R., Wierda, F. " M.C. Escher: His Life and Complete Graphic Works." Harry N. Abrams, Inc.: New York, 1992.