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Geometry Lesson 6.1.notebook
Geometry Lesson 6.1.notebook

Geometric Concepts: Polygons, Quadrilaterals
Geometric Concepts: Polygons, Quadrilaterals

... many vertices were they able to create? (Two.) Look at a third vertex and don the same. Again, how many vertices can be drawn from that one? (Two.) Anyone want to take a guess, if we were to try a fourth vertex, how many vertices we’d be able to make? ...
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Copyright © by Holt, Rinehart and Winston - dubai

... Properties of Parallelograms Fill in the blanks to complete each definition or theorem. 1. If a quadrilateral is a parallelogram, then its consecutive angles are ____________________. 2. If a quadrilateral is a parallelogram, then its opposite sides are ____________________. 3. A parallelogram is a ...
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Regular polytope



In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j-faces (for all 0 ≤ j ≤ n, where n is the dimension of the polytope) — cells, faces and so on — are also transitive on the symmetries of the polytope, and are regular polytopes of dimension ≤ n. Regular polytopes are the generalized analog in any number of dimensions of regular polygons (for example, the square or the regular pentagon) and regular polyhedra (for example, the cube). The strong symmetry of the regular polytopes gives them an aesthetic quality that interests both non-mathematicians and mathematicians.Classically, a regular polytope in n dimensions may be defined as having regular facets [(n − 1)-faces] and regular vertex figures. These two conditions are sufficient to ensure that all faces are alike and all vertices are alike. Note, however, that this definition does not work for abstract polytopes.A regular polytope can be represented by a Schläfli symbol of the form {a, b, c, ...., y, z}, with regular facets as {a, b, c, ..., y}, and regular vertex figures as {b, c, ..., y, z}.
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