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There are infinitely many spatial figures and it is not possible to give a comprehensive answer. For a partial answer, see the following link. However, the link is concerned only with polyhedra. There are other spatial figures - like spheres and ellipsoid etc.
No.
A hyperboloid.A sphere, ellipsoid, toroid or paraboloid intersected by a plane.There are probably others.A hyperboloid.A sphere, ellipsoid, toroid or paraboloid intersected by a plane.There are probably others.A hyperboloid.A sphere, ellipsoid, toroid or paraboloid intersected by a plane.There are probably others.A hyperboloid.A sphere, ellipsoid, toroid or paraboloid intersected by a plane.There are probably others.
No it is an oblate ellipsoid
An ellipsoid with equal radii along two axes and a different radius in the third (a flattened sphere or a circular ellipsoid).