QUESTION 4 2 points Let P be one of the five Platonic solids

QUESTION 4. [2 points] Let P be one of the five Platonic solids. Consider the convex polyhedron constructed from P as follows: the vertices of are the barycenters of the faces of P. We connect two vertices vF and vFr (the barycenters of faces F and F\') by a line segment if and only if the polygons F and F\' have a common side Using the symmetry in the picture it is possible to show that is also a Platonic solid. Complete the following sentences (follow the example) If P is a tetrahedron then Qis a tetrahedron.

Solution

answers:(top to down)

cube

octahedron

icosahedron

dodecahedron

p is the equal to the number of vertices of Q, the number of edges of p and Q are the same and the number of vrtices of P is equal to the number of faces of Q..