Polyhedrons Polyhedra are beautiful 3-D geometrical figures that have fascinated philosophers,...
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Transcript of Polyhedrons Polyhedra are beautiful 3-D geometrical figures that have fascinated philosophers,...
![Page 1: Polyhedrons Polyhedra are beautiful 3-D geometrical figures that have fascinated philosophers, mathematicians and artists for millennia.](https://reader035.fdocument.org/reader035/viewer/2022062407/56649dbf5503460f94ab3f01/html5/thumbnails/1.jpg)
PolyhedronsPolyhedra are beautiful 3-D geometrical
figures that have fascinated philosophers, mathematicians and artists for millennia.
![Page 2: Polyhedrons Polyhedra are beautiful 3-D geometrical figures that have fascinated philosophers, mathematicians and artists for millennia.](https://reader035.fdocument.org/reader035/viewer/2022062407/56649dbf5503460f94ab3f01/html5/thumbnails/2.jpg)
Polyhedra• In geometry, a
polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat faces and straight edges. The word polyhedron comes from the Classical Greek πολύεδρον, as poly- (stem of πολύς, "many") + -hedron (form of έδρα, "base", "seat", or "face").
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Polytypes• A polyhedron is a 3-
dimensional example of the more general polytope in any number of dimensions.o In elementary geometry, a polytope is a
geometric object with flat sides, which exists in any general number of dimensions. A polygon is a polytope in two dimensions and a polyhedron in three dimensions.
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Parts of the Polyhedra• 3 dimensions: The body is bounded by the faces,
and is usually the volume enclosed by them.
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Parts of the Polyhedra• 2 dimensions: A face is a polygon bounded by a
circuit of edges, and usually including the flat (plane) region inside the boundary. These polygonal faces together make up the polyhedral surface.
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Parts of the Polyhedra• 1 dimension: An edge joins one vertex to another
and one face to another, and is usually a line segment. The edges together make up the polyhedral skeleton.
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Parts of the Polyhedra• 0 dimensions: A vertex (plural vertices) is a
corner point.
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Where are polyhedrons found in
everyday life?
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There are many types of Polyhedra,
more than we could possibly have
time to look at!
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What will we be doing with Polyhedra?
• We are each going to make our own Polyhedra! o Each student will create a design which uses either pattern
or rhythm to draw on the faces of a polyhedron.o Polyhedrons will either have 8+ faces, or the student will make
2 in order to reach the 8 face requirement.
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How will we make them?
• FIRST You will pick which shape you want from a template!
=
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How will we make them?
• SECOND you will make 3 sketches of your pattern/rhythm design! Then pick the best one!
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How will we make them?
• THIRD you will take the template you want, and trace it on cardstock (thick) paper using the light table!
• Use a ruler so that your edges are straight!!!!
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How will we make them?
• FOURTH you will draw your design using PrismaColor Markers on your traced template!
• DON’T CUT IT OUT YET!!!
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How will we make them?
• FIFTH: Once your design has neatly been applied to your template, it is time to cut it out! You can use scissors if you have a steady hand, but it would be best to use an X-acto knife with a metal straight edge.
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How will we make them?
• SIXTH step is to fold all of your edges!o If you use a tool to perforate the edges, it will make it easier to fold and
look nicer.
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How will we make them?
• The LAST step is to glue the edges down. This is by far the HARDEST step, so work SLOWLY and CAREFULLY!!!!
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How will we make them?
• After you apply glue to one section, hold it for about a minute, assuring that it has adhered!
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The final product should look something like
these: