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What is the difference between a polyhedron and a non polyhedron?
A polyhedron is a three-dimensional solid with flat faces, straight edges, and sharp corners, while a non-polyhedron does not have these characteristics. Polyhedra are made up of polygons that enclose a single region of space, while non-polyhedra may have curved faces or intersecting edges. In mathematical terms, a polyhedron satisfies Euler's formula (V - E + F = 2), where V is the number of vertices, E is the number of edges, and F is the number of faces, while a non-polyhedron does not.
What is a polyhedron with 9 vertices?
There is no regular polyhedron with 9 vertices There are many other defined polyhedra with 9 vertices, though: elongated square pyramid (cube with a square pyriamd on top) gyroelongated square pyramid triangular cupola triaugmented triangular prism tridiminished icosahedron It's hard to describe the shape of some of these. See the related links below for pictures.
What three dimensional shapes have faces with parallel edges?
Some do, some don't. A regular polyhedron such as the tetrahedron has none whereas an irregular one like the parallelepiped can have several.
What is a solid figure that has one face and no edges or corners?
An irregular blob, an ellipsoid, a sphere, a toroid (doughnut) are some examples.
Dodecahedron has triangular faces?
A dodecahedron is a polyhedron with 12 faces. There are 6,384,634 topologically distinct convex dodecahedra with 8 or more vertices. A hexagonal bipyramid, a dodecadeltahedron, a triakis tetrahedron are examples of dodecahedra all of whose faces are triangles. There are many more dodecahedra in which some, but not all, faces are triangles.
