TESSELLATIONS

M.C. ESHER

• Mathematician
• Artist
• Why-
• Used geometry in his art

TESSELLATIONS ARE FOUND IN ?

• Snakes, Turtles
• Architectural design
• Bee hives
• Pineapples
• Bottom of shoes

WHAT IS A TESSELATION

• A pattern repeated to cover a plane
• Does not overlap or have gaps
• Fits perfectly together

SHAPES THAT TESSELATION

• Interior angles add up to 360 or 160 degrees
• No gaps or overlaps
• Triangle, Square, Parallelogram, Hexagon

NON-TESSELATING SHAPES

• Gaps or overlaps
• Interior angels don't add up
• To 360 or 180 degrees
• Pentagon, Heptagon, Octagon

REFLECTIOIN

• Draw a polygon that tesselates
• On one side draw a line
• Trace it on tracing paper
• Flip it, Trace onto opposite side
• On the remaining sides repeat 2-4

ROTATIONAL

• Draw a polygon that tesselates
• Draw a line
• Trace it on tracing paper
• Rotate 90 degrees to the next side
• Repeat steps 2-4 on the remaining sides

TRANSLATION

• Draw a polygon that tesselates
• Draw a line
• Trace it on tracing paper
• Trace onto opposite side
• Repeat 2-4 on remaining sides

SOURCES