In general, any 10-sided polyhedron is called a decahedron. With 10 regular triangles for faces, you may have a pentagonal bipyramid.
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 decagon. A two-dimensional shape (plane figure, or polygon) which has ten sides is a decagon. A three-dimensional shape (polyhedron) which has ten sides (plane faces) is a decahedron.
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.
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.
For all polyhedra: vertices + faces = edges + 2 The given fact is: edges = vertices + 10 → vertices + faces = vertices + 10 + 2 → faces = 12
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.
A polygon (2-dimensional shape) with 10 sides is a decagon. A 3-dimensional polyhedron with 10 faces is a decahedron.