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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.
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∙ 11y ago
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Does eulers rule work for a cone?
no
How many faces does an octahedron have?
An octahedron has 8 sides.An octahedron is a polyhedron with eight plane faces.
How many sides does an octahedron have?
An octahedron has 8 sides.
How many faces has a octahedron?
a octahedron has 8 faces
What is a octahedron solid?
An octahedron is a 3D shape with 8 sides.
When was eulers formula discovered?
Euler published the formula, which relates complex exponentials to trigonometric functions in 1748. See related link.
What was Eulers motivation towards maths?
He discovered the all important Euler's Rule often referred to as Euler's Formula.
What has the author Kathrin Eulers written?
Kathrin Eulers has written: 'Frauen im Wahlrecht'
What was Eulers childhood like?
cool
Does eulers rule work for a cone?
no
What is the surface area formula for a octahedron?
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.
What is the eulers angles?
http://en.wikipedia.org/wiki/Euler_angles
What us euler's constant?
why is eulers constant important
How many faces does an octahedron have?
An octahedron has 8 sides.An octahedron is a polyhedron with eight plane faces.
How many edges and vertices does an 62 face octahedron have?
An octahedron has eight faces. If it has 62 faces then it is not an octahedron!
How many sides does an octahedron have?
An octahedron has 8 sides.
How many corners does a octahedron have?
An octahedron has 18 corners.
