The Euler characteristic states that V - E + F = 2
where V = vertices, E = Edges and F = Faces.
An octahedron has 8 faces, so the Euler characteristic leads to V - E + 8 = 2
or E = V + 6
An octahedron can be any one of
a heptagonal pyramid (V = 8, E = 14)
a hexagonal prism (V = 12, E = 18)
a quadrilateral dipyramid (V = 6, E = 12)
There are other octahedral shapes as well.
no
An octahedron has 8 sides.An octahedron is a polyhedron with eight plane faces.
An octahedron has 8 sides.
a octahedron has 8 faces
An octahedron is a 3D shape with 8 sides.
Euler published the formula, which relates complex exponentials to trigonometric functions in 1748. See related link.
He discovered the all important Euler's Rule often referred to as Euler's Formula.
Kathrin Eulers has written: 'Frauen im Wahlrecht'
cool
no
An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra and these have faces ranging form triangles to heptagons. The only single formula for the area is the sum of the areas of each of the faces.
There is only one possible structure for an octahedral molecule with the formula AX3Y3, where A and X represent the central atom and ligands that form the vertices of the octahedron, while Y represent the ligands at the faces of the octahedron.
http://en.wikipedia.org/wiki/Euler_angles
why is eulers constant important
An octahedron has 8 sides.An octahedron is a polyhedron with eight plane faces.
An octahedron has eight faces. If it has 62 faces then it is not an octahedron!
An octahedron has 8 sides.