are patterns of shapes that fit together without any gaps way to tile a floor that goes on forever ...
TRANSCRIPT
Tessellations
Regular, Semi regular and irregular
Tessellations
Are patterns of shapes that fit together without any gaps
Way to tile a floor that goes on forever
Puzzles are irregular tessellations
Artists
Regular Tessellations
Made from regular polygons with equal sides and angles
Triangles, squares, hexagons
The Three Rules
RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.
RULE #2: The tiles must be regular polygons - and all the same.
RULE #3: Each vertex must look the same.
Not a regular tessellation
Heptagon
Pentagon
More than 6 sides WILL OVERLAP
Semi-regular Tessellations
These tessellations are made by using two or more different regular polygons.
The rules are still the same. Every vertex must have the exact
same configuration.
M. C. Escher
Lived from 1898 to 1972. He was a Dutch artist who came to specialize in
patterns that tessellated He took the boring square and looked at it
mathematically. If you took some off of one side, and added it to
the opposite side, even if what you took was a funny piece, you created a pattern.
He experimented in rearranging space in very creative ways! His tessellations are the most famous in the world!
Irregular Tessellations