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Exploring Geometric Solids cloned 4/1/2021

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Last updated almost 5 years ago
28 questions


Plato (born 428/427 BCE, Athens, Greece-died 348/347, Athens) is one of the world's best known and most widely read and studied philosophers. Plato reasoned that because all objects are three-dimensional, their smallest parts, atoms, must be in the solid shape of regular polyhedrons, which are explainable by mathematics. There are only five regular polyhedrons, and these five geometric solids are commonly called the Platonic Solids. In Plato's view, all things are composed of the five different atoms: earth, air, fire, water and the cosmos(the stars and planets in the sky). Plato assigned each of the five regular solids to each of the five atoms.

Use the applet to explore the five Platonic Solids.
https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Geometric-Solids/
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Question 28
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equilateral triangle
square
regular pentagon
equilateral triangle
square
regular pentagon
equilateral triangle
square
regular pentagon
equilateral triangle
square
regular pentagon
equilateral triangle
square
regular pentagon
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The sum is two more than the number of edges.
The sum is two less than the number of edges.
The sum is equal to the number of edges.
The is half the number of edges.
No
V + F = E
(V + F)/2 = E
V + F - 2 = E
V + F + 2 = E