Polyhedra are beautiful 3D geometrical figures that have fascinated philosophers mathematicians and artists for millennia Polyhedra In geometry a polyhedron plural polyhedra or polyhedrons ID: 581758
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Polyhedrons
Polyhedra
are beautiful 3-D geometrical figures that have fascinated philosophers, mathematicians and artists for millennia.Slide2
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").Slide3
PolytypesA polyhedron is a 3-dimensional example of the more general polytope in any number of dimensions.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.Slide4
Parts of the Polyhedra3 dimensions: The body is bounded by the faces, and is usually the volume enclosed by them.Slide5
Parts of the Polyhedra2 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. Slide6
Parts of the
Polyhedra1 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.Slide7
Parts of the Polyhedra0 dimensions: A vertex (plural vertices) is a corner point.Slide8
Where are polyhedrons found in everyday life?Slide9
There are many types of Polyhedra, more than we could possibly have time to look at!Slide10
What will we be doing with Polyhedra?We are each going to make our own Polyhedra! Each student will create a design which uses
either pattern or rhythm to draw on the faces of a polyhedron.Polyhedrons will either have 8+ faces, or the student will make 2 in order to reach the 8 face requirement. Slide11
How will we make them?FIRST You will pick which shape you want from a template! =Slide12
How will we make them?SECOND you will make 3 sketches of your pattern/rhythm design! Then pick the best one!Slide13
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!!!!Slide14
How will we make them?
FOURTH you will draw your design using PrismaColor Markers on your traced template! DON’T CUT IT OUT YET!!!Slide15
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. Slide16
How will we make them?SIXTH step is to fold all of your edges!If you use a tool to perforate the edges, it will make it easier to fold and look nicer. Slide17
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!!!!Slide18
How will we make them?After you apply glue to one section, hold it for about a minute, assuring that it has adhered!Slide19
The final product should look something like these: