Introduction |
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| We have
studied Polygons as two-dimensional objects with three or more sides.
Regular Polygons are shapes with congruent sides and angles.
If these shapes are taken into the third-dimension, they become a
polyhedron. Simply put, a polyhedron is an object made of polygons
connected at the edges. So what is a "Regular Polyhedron"? If
the same concept of regular polygons is applied to polyhedrons, a "Regular
Polyhedron" would consist of congruent Regular Polygons. In
fact this idea of a "Regular Polygon" is what we know today as a Platonic
Solid, and there are only five! The five Platonic Solids are the only Polyhedrons
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| An interesting fact that can be found from the Platonic Solids, is that the same number of Regular Polygons meet at each vertex, corner, of the object. It is for this reason that there can be only five Platonic Solids. As you will discover later through this website, any more then five, and there would be too many angles for each vertex. | ||||||
| There are also some other fascinating concepts and formulas found from the Platonic Solids. These ideas will be explored through this instructional website. | ||||||
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Assignment 1: "Introduction": |
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| In an
email, recap what you have learned about the five Platonic Solids.
Hypothesize why there are only five. (Hint: Think about the
number of faces that meet at a vertex. Think about the
regular polygons' angles and if more than four ever meet at one
vertex.) Each student's posting will be sent to every student in the
class. You must reply to the assignment and at least one
other student's posting.
10 Points for your posting. 5 Points for replying to another student's posting. Email your response to: teacher@email.com Click here to see Assignment 1: "Introduction" Rubric. |
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