there are some topic which help me a lot.(I will keep to post)
Tessellations:
A tessellation is a covering of the plane by shapes, called tiles, so that there are no empty spaces and no overlapped tiles. Tessellations are also called tilings.Some tessellations involve many types of tiles, but the most interesting tessellations use only one or a few different tiles to fill the plane. If the tiles are regular polygons (all sides are congruent and all angles are congruent) and vertices only meet vertices we say that the tessellation is a regular tessellation.An example of tessellations using only a few different tiles are the semi-regular tessellations. These tessellations are made up of two or more types of regular polygons, vertices only meet vertices and the configuration around every vertex is the same.
Escher lays out his methods for creating tessellations:
1.Begin with a tessellation by geometric shapes.
2."Mold the form". Here, he bends and manipulates the straight lines of the geometric scaffolding.
3.Look at the resulting pattern and attempt to recognize a figure.
4.Push the pattern towards the desired shape.
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