Introducing : The Wonders of Polygons

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Introducing The Wonders of Polygons
Shapes Designs

• Presented by
• Jen Goodyear and Eleanor Gallis

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Do you ever wonder???
Why are the wheels on bicycles, cars, and
trains the plates and glasses that we eat and
drink from the lids on bottles, jars, and
cans and the balls in many games we play
round? (not square?)
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-circles have no sides or angles, yet they are
perfectly symmetric -any turn around the center
is a symmetry -this makes a circle roll smoothly,
-lids can fit a container easily because they
can fit in any turn position
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Do you ever wonder???
Why are the braces on towers, roofs, and bridges
in the shape of triangles? (not rectangles or
pentagons?)
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If you tried to build a wooden gate out of a
quadrilateral, what would happen to it when you
hung the gate on hinges?
?
?
?
How would you make it stronger?
By adding another piece of wood, to create 2
triangles!!
This is called triangulating the structure.
Every engineer knows the strength of a triangle!
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Do you ever wonder???
Why are nearly all windows and doors in homes,
schools, stores, and office buildings in the
shape of rectangles? (not triangles, circles, or
trapezoids?)
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-windows and doors are symmetrical with parallel
sides and right angles, -this allows for an
easier design for opening and closing, unlike
other design shapes
Not!!!!
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What is a polygon?
A polygon is a simple closed figure with
straight-line sides.
Polygons have special names that are based on the
number of sides and angles they have
Can you name the most common polygons?
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Now we will identify polygons in the
world -art -nature -architecture (ancient,
modern)
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Polygons in Art
Some great works of art use a method called
Cubism -an art that depicts several views of
the same subject using geometrical figures
Famous Art by Pablo Picasso
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Polygons in Ancient Art
This marvelous design is at Pompeii. It is made
up of a central hexagon surrounded by squares,
equilateral triangles, and rhombi. Design
at Pompeii
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Polygons in Nature
Bees produce more honey than they actually need
and store it in honeycombs. The hexagonal
structure of the honeycomb is well-known to
everyone. Have you ever wondered why bees
construct hexagonal honeycombs rather than
octagonal, or pentagonal? Mathematicians looking
for answer to this question reached an
interesting conclusion "A hexagon is the most
appropriate geometric form for the maximum use of
a given area." A hexagonal cell requires the
minimum amount of wax for construction while it
stores the maximum amount of honey. So the bee
uses the most appropriate form possible.
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Polygons in Ancient Architecture
Hexagonal Designs in Architecture Hexagonal
designs are common in ancient architecture, such
as this church window in Quebec. Church Window
in Quebec
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Polygons in Modern Architecture
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References
www.islamcity.com/science/quranandscience/creation
/GenetatedFiles/HoneyBeesandthe
ArchitecturalWondersoftHoneycombs.htm. July 25,
2005.
www.artic.edu/artaccess. July 25, 2005.
www.dartmouth.edu/matc/math5.geometry/syllabus.ht
lm. July 26, 2005
Shapes and Designs. Dale Seymour Publications.
1988.