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