SOLUTION: determine the number of face vertices and edges of the solids

Question 142837This question is from textbook geometry
: determine the number of face vertices and edges of the solids This question is from textbook geometry

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
notice that:
Each solid has flat sides called .
Each solid has to connect the faces.
Each solid has that connect the edges.
There are different that are . You can examine the shapes and count the number of faces, edges, and vertices for each.
There are regular polyhedra. This means that there are only five solids in which
all of the faces are congruent regular polygons.
These five regular polyhedra are called the . The Platonic Solids are:
the which has 4 equilateral triangles as faces;
the which has 6 squares as faces;
the which has 8 equilateral triangles as faces;
the which has 12 equilateral pentagons as faces;
and the which has 20 triangles as faces.
Euler characteristic: there is a relation among the number of edges , vertices , faces
This result is known as , and can be applied not only to polyhedra but also to embedded planar graphs.

RELATED QUESTIONS
If the bottom face of a pyramid has n sides, how many faces, edges, and vertices will it (answered by greenestamps,math_tutor2020)

find the number of vertices, faces, and edges for the regular hexagonal... (answered by alicealc)

Every face has 5 edges and every edge is shared by two faces. Every face has five... (answered by ikleyn,Alan3354)

Find the number of vertices and edges for K 10,5 graph. (answered by ikleyn)

write an equation using f for the number of faces, e for the number of edges and v for... (answered by richard1234)

What is the relationship of the number of edges and the number of the vertices in a... (answered by richard1234)

Let P be a polyhedron. The dual polyhedron of P is a polyhedron Q which satisfied the... (answered by ikleyn)

A cube is sliced with one straight slice which passes through two opposite edges. The... (answered by mananth)

in a cube, how does the number of faces compare to the number of edges? what I came up... (answered by BrittanyM)