What Do You Know About Polytopes?

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  • 1/10 Questions

    Polytopes is a topic in .....?

    • Mathematics
    • Music
    • History
    • Philosophy
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About This Quiz

In elementary geometry, a polytope is a geometric object with "flat" sides. It is a generalisation in any number of dimensions of the three-dimensional polyhedron. Polytopes may exist in any general number of dimensions nas an n-dimensional polytope or n-polytope.

What Do You Know About Polytopes? - Quiz

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  • 2. 
    Polytopes in more than three dimensions were first discovered by? - ProProfs

    Polytopes in more than three dimensions were first discovered by?

    • Ludwig Schläfli

    • Albert Einstein

    • Isaac Newton

    • James McCafrrey

    Correct Answer
    A. Ludwig Schläfli
    Explanation
    Ludwig Schläfli is credited with the discovery of polytopes in more than three dimensions. He was a Swiss mathematician who made significant contributions to the field of geometry. Schläfli's work on polytopes laid the foundation for the study of higher-dimensional shapes and their properties. His discoveries and mathematical formulations have had a lasting impact on the field of geometry and continue to be studied and built upon by mathematicians today.

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  • 3. 
    The word polytop is a term from which country? - ProProfs

    The word polytop is a term from which country?

    • England

    • U.S.A

    • Germany

    • China

    Correct Answer
    A. Germany
    Explanation
    The word "polytop" is a term that originated in Germany. This suggests that the concept or idea of a polytop, which refers to a geometric shape with flat sides and straight edges in any number of dimensions, was first developed or popularized in Germany.

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  • 4. 
    The German term polytop was coined by the mathematician named? - ProProfs

    The German term polytop was coined by the mathematician named?

    • Reinhold Hoppe

    • Isaac Newton

    • Albert Einstein

    • James McCafreey

    Correct Answer
    A. Reinhold Hoppe
    Explanation
    The correct answer is Reinhold Hoppe. He is the mathematician who coined the German term "polytop".

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  • 5. 
    The German term polytop was coined by the mathematician Reingold Hoppe, and was introduced to English mathematicians as polytope by .....? - ProProfs

    The German term polytop was coined by the mathematician Reingold Hoppe, and was introduced to English mathematicians as polytope by .....?

    • Alicia Boole Stott

    • Isaac Newton

    • Albert Einstein

    • James McCafrey

    Correct Answer
    A. Alicia Boole Stott
    Explanation
    Alicia Boole Stott is the correct answer because she was a mathematician who made significant contributions to the field of geometry, particularly in the study of polytopes. She was the first to introduce the term "polytope" to English mathematicians, which was originally coined by Reingold Hoppe, a German mathematician. Therefore, Stott played a crucial role in bringing this term into the English mathematical literature.

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  • 6. 
    Polytopes is a topic under .....? - ProProfs

    Polytopes is a topic under .....?

    • Discrete geometry

    • Convex geometry

    • Digital geometry

    • Toric geometry

    Correct Answer
    A. Discrete geometry
    Explanation
    Polytopes is a topic under discrete geometry. Discrete geometry is a branch of mathematics that deals with geometric objects that have a finite number of points. Polytopes are a type of geometric object that are defined as the convex hull of a finite set of points in a Euclidean space. Therefore, polytopes fall under the study of discrete geometry.

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  • 7. 
    The German term polytop was coined by the mathematician Reinhold Hoppe, and was introduced to ....... mathematicians as polytope. - ProProfs

    The German term polytop was coined by the mathematician Reinhold Hoppe, and was introduced to ....... mathematicians as polytope.

    • Austrian

    • England

    • Chinese

    • American

    Correct Answer
    A. England
    Explanation
    The German term "polytop" was introduced to English mathematicians as "polytope". This suggests that the term originated in Germany and was then adopted by English mathematicians. Therefore, the answer is England.

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  • 8. 
    Polytopes in more than ..... dimensions were first discovered? - ProProfs

    Polytopes in more than ..... dimensions were first discovered?

    • Two

    • Three

    • One

    • Five

    Correct Answer
    A. Three
    Explanation
    Polytopes in more than three dimensions were first discovered. This indicates that the study of polytopes began with three-dimensional shapes and then expanded to higher dimensions.

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  • 9. 
    Polytopes can be put into how many important classes? - ProProfs

    Polytopes can be put into how many important classes?

    • 3

    • 4

    • 5

    • 2

    Correct Answer
    A. 3
    Explanation
    Polytopes can be put into three important classes. This suggests that there are three distinct categories or classifications that polytopes can fall into. Without further information, it is not possible to determine what these classes are specifically, but it can be inferred that there are three significant types or groupings of polytopes.

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  • 10. 
    Polytopes has how many generalisations? - ProProfs

    Polytopes has how many generalisations?

    • 2

    • 3

    • 4

    • 1

    Correct Answer
    A. 3
    Explanation
    Polytopes have three generalizations. A polytope is a geometric figure with straight sides in any number of dimensions. The three generalizations of polytopes are: 1) Convex polytopes, which are polytopes with all interior angles less than 180 degrees; 2) Non-convex polytopes, which are polytopes with at least one interior angle greater than 180 degrees; and 3) Abstract polytopes, which are combinatorial structures that generalize the concept of polytopes to include more abstract properties such as face lattice and incidence relations.

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  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 10, 2017
    Quiz Created by
    Livyn
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