This document discusses tessellations, which are patterns made of identical shapes that fit together without gaps or overlaps. It explains that tessellations occur in nature with honeycomb structures and that the artist M.C. Escher used mathematics to create famous tessellations. For a tessellation to work, the sum of the interior angles where the polygons meet must equal 360 degrees.
1. TESSELLATIONS!
Who’s that guy?
If bees can do it,
What is it?
As long as the sum of the
interior angles where the
polygons meet it 360⁰ the
pattern will tessellate!
A tessellation is a pattern made
of identical shapes that fit
together without any gaps and
do not overlap!
M.C. Escher is a
famous artist who
used mathematics
to create infamous
tessellations!
so can you!
Tessellations occur
in nature when
honey bees create
there hives!
Angels and
Demons is one
of Escher’s
most famous
works.
Honeycomb. Retrieved 1 October 2014, from
http://1.bp.blogspot.com/-
bZ9Yf6PPzL4/T1yHQmSPfAI/AAAAAAAAB
ZE/JQWr-zfvV5E/s1600/honeycomb.jpg
Angels and Demons. Retrieved 1 October
2014, from
http://2.bp.blogspot.com/_lWDEcDUusJ8/Ru
euBGZ4HFI/AAAAAAAAAeU/Lq3rvG0femg
/s400/Escher_circle_limit_4.jpg
Escher self portrait.
Retrieved 1 October 2014,
from
http://www.retronaut.com/wp-content/
uploads/2013/03/Mau
rits-Escher-Self-Portrait-in-a-
Globe-1.jpg
Tessellations
can be made
from regular
and irregular
polygons!