A Curiosity | |
Polyhedra | |
A toroidal heptahedron. | |
This is a
very special polyhedron because it forms a ring or torus,
that is, it has a hole that goes through it. It has 14 vertices and 21
edges. - Count the
number of faces it has. -
Could you build a ring polyhedron of less faces? - Is it
convex or concave? - Do the number of its faces, edges and vertices satisfy Euler's formula? What is the reason for this? -
What does Eulerian polyhedron mean? Is this polyhedron Eulerian or non-Eulerian? - How many
sides does each of its faces have? - Does each
of its faces border all the other ones? - How many colours do you need to paint
each face in a different colour, without two faces of the same colour
touching each other? This shows the number of colours needed to paint a map that covers a ring-shaped object completely. This polyhedron was discovered by the Hungarian mathematician Lajos Szilassi in 1977. |
Eduardo Barbero Corral | ||
Spanish Ministry of Education , Social Afairs and Sport. Year 2007 | ||
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