octahedron - a polyhedron with 8 faces
If you mean a decahedron then it is a polyhedron with 10 faces
No. The numbers are not consistent with the requirements of the Euler characteristic.
A polygon (2-dimensional shape) with 10 sides is a decagon. A 3-dimensional polyhedron with 10 faces is a decahedron.
A ptagonramid of five triangular sloping faces and a pentagon as a base.
A pentagonal pyramid.
Decahedron :)
octahedron - a polyhedron with 8 faces
If you mean a decahedron then it is a polyhedron with 10 faces
Such a polyhedron cannot exist. According to the Euler characteristics, V + F - E = 2, where V = vertices, F = faces, E = edges. This would require that the polyhedron had only two faces.
A 10-sided die has 10 triangular faces.
No. The given numbers do not satisfy the Euler characteristic for a simply connected polyhedron.
A shape that has fewer than 8 faces and fewer than 10 edges is a triangular prism. A triangular prism has 5 faces (2 triangular faces and 3 rectangular faces) and 9 edges. It meets the criteria of having fewer than 8 faces and fewer than 10 edges.
Here are some, with number of triangular faces in brackets:tetrahedron (4)triangular bipyramid (6)octahedron (8)pentagonal bipyramid (10)snub disphenoid (12)triaugmented triangular prism (14)gyroelongated square bipyramid (16).There is also a 24 faced stellation for an octahedron.Here are some, with number of triangular faces in brackets:tetrahedron (4)triangular bipyramid (6)octahedron (8)pentagonal bipyramid (10)snub disphenoid (12)triaugmented triangular prism (14)gyroelongated square bipyramid (16).There is also a 24 faced stellation for an octahedron.Here are some, with number of triangular faces in brackets:tetrahedron (4)triangular bipyramid (6)octahedron (8)pentagonal bipyramid (10)snub disphenoid (12)triaugmented triangular prism (14)gyroelongated square bipyramid (16).There is also a 24 faced stellation for an octahedron.Here are some, with number of triangular faces in brackets:tetrahedron (4)triangular bipyramid (6)octahedron (8)pentagonal bipyramid (10)snub disphenoid (12)triaugmented triangular prism (14)gyroelongated square bipyramid (16).There is also a 24 faced stellation for an octahedron.
Oh, dude, it's like a math riddle! So, if a polyhedron has 10 more edges than vertices, we can use Euler's formula: Faces + Vertices - Edges = 2. Since we know the relationship between edges and vertices, we can substitute that in and solve for faces. So, it would have 22 faces. Math can be fun... sometimes.
No. The numbers are not consistent with the requirements of the Euler characteristic.
No, F + V = E + 2That's Euler's polyhedron formula (or Theorem). For a normal 3-d polyhedron to exist it must conform to that equation.