Which of the Platonic solids, when represented as a planar graph, have graphs that permit an Euler Path or Circuit? (Select all that apply) octahedron dodecahedron icosahedron tetrahedron hexahedron (cube)

Which of the Platonic solids, when represented as a planar graph, have graphs that permit an Euler Path or Circuit? (Select all that apply) octahedron dodecahedron icosahedron tetrahedron hexahedron (cube)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Which of the Platonic solids, when represented as a planar graph, have graphs that permit an Euler Path or Circuit? (Select all that apply)

octahedron
dodecahedron
icosahedron

tetrahedron
hexahedron (cube)

In geometry, three-dimensional shape that occupies space on a plane. Solids are measured by their length, width, and height. The attributes of solids are faces, edges, and vertices. Solids include cubes, cuboids, prisms, pyramids, cylinders, cones, or spheres.

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