Learning Tasks #5: Panel Design
The time has come to begin formulating possible panel designs. You have looked at patterns as found at the Alhambra, and you now know that many of these designs are tessellations.
You decide to use a set of geometric blocks to assemble a possible panel design.
Investigating Tessellations Using Activity Pattern Blocks
You decide to use an Internet site you found to assemble a possible panel design.
Pattern Blocks Program
You decide to use geometry exploration software, such as Geometer's Sketchpad , to investigate transformations and tessellations and then to construct your design.
The Geometer's Sketchpad and Tessellations
Sketchpad Three Labs
Sketchpad for Little Ones
You know that only three regular polygons tessellate in the Euclidean plane. You decide to design your panel using just those three polygons.
You have become interested in the nibbling technique and want to use that in your design along with slides, rotations, and reflections.
You learn that many of Escher's drawings were inspired by designs he saw in the Alhambra. You are very interested in his work. Maybe you could include a "modern" panel in the restoration. You decide to look more closely at Escher's work and see if you can discern the tessellating patterns and the techniques he used. You will try to design a panel using patterns and techniques like his.
Print Resources :
There are lots of books about Escher, most with photographs of his works
The World of M. C. Escher by J. F. Locher
Additional Internet Resources:
What are tessellations?
Computer Art by Hans Kuiper - Tessellations
Some Arabic Tiles
good site, but many of the connecting links are no longer operative