The question is not clear. Hardest, as in the most rigid, is a triangular prism (or tetrahedron). Hardest, to work the geometry of, is probably an irregular blob.
* geometry in nature * for practcal use of geometry * geometry as a theory * historic practical use of geometry
A vertex is defined in Geometry and the point at which two lines or segments connect. If we think of a 2D square first we can count that it in fact has 4 vertices. One at the top left, one at the top right, one at the bottom left, and one at the bottom right. We understand in Geometry that a 3D object is a 2D object with an additional plane of space. So knowing this we can assume that there would have to be an additional 4 vertices to formulate a 3 Dimensional square - which is now a cube. So in conclusion If a 2D object has 4 vertices, then a 3D object since it has an additional plane of space would need an additional 4 vertices to make a square on the second plane of space. So we need a total of 8 vertices to make a 3D cube (3D square - though in technicality a square is 2D, a cube is 3D)
3 dimensional geometry.3 dimensional geometry.3 dimensional geometry.3 dimensional geometry.
It's a cylinder. Look at http://en.wikipedia.org/wiki/Cylinder_(geometry)
No. Solid geometry is 3 dimensional. Plane geometry is 2 dimensional.
I think yes...most of the 3D models use geometry
Probably fractal geometry.
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they look like geometry shapes that are 3D
Tetrahedron. Follow the link and have a look at some 3D geometry.
only a 3D figure has a face so no
It is a field of math that uses calculus, specifically, differential calc, to study geometry. Some of the commonly studied topics in differential geometry are the study of curves and surfaces in 3d
I would suggest using a 3d printer and thingiverse.
A 3D figure with two circle bases, and a rectangle.
A 3D object that has all of it's sides slanted inwards; opposite of convex.
A place where two faces meet is called an edge.