Exploring Polyhedra

A polyhedron is a three-dimensional solid with flat faces.

Cubes, pyramids, and prisms.

They have curved faces.

<p>A regular polyhedron is a polyhedron where all the faces are regular polygons that are congruent to each other.</p> Signup and view all the answers

<p>There are exactly five regular polyhedra.</p> Signup and view all the answers

<p>A concave polyhedron is a polyhedron in which one or more of the vertices, edges, or faces 'goes into' the polyhedron.</p> Signup and view all the answers

<p>Euler's characteristic is a formula that relates the number of faces, vertices, and edges of a convex polyhedron. It states that F + V - E = 2.</p> Signup and view all the answers

<p>Physical models of polyhedra can be constructed by cutting out a 'net' of the polyhedron, folding and gluing it together to form a hollow polyhedron. Nets are two-dimensional diagrams created by 'unfolding' a polyhedron.</p> Signup and view all the answers

<p>Computer graphics can be used to create polyhedron models that can be rotated, expanded, and have their faces colored, making them easier to understand.</p> Signup and view all the answers

<p>Polyhedron models are used in CGI (computer-generated imagery) to conceptualize three-dimensional objects, and in architecture to represent buildings. They are also used in various educational and mathematical applications.</p> Signup and view all the answers