projective polyhedron造句

Spherical polyhedra without central symmetry do not define a projective polyhedron, as the images of vertices, edges, and faces will overlap.
The hemicube should not be confused with the demicube the hemicube is a projective polyhedron, while the demicube is an ordinary polyhedron ( in Euclidean space ).
Of these uniform hemipolyhedra, only the tetrahemihexahedron is topologically a projective polyhedron, as can be verified by its Euler characteristic and visually obvious connection to the Roman surface.
It is the only uniform ( traditional ) polyhedron that is projective that is, the only uniform projective polyhedron that immerses in Euclidean three-space as a uniform traditional polyhedron.
The projective plane is non-orientable, and thus there is no distinct notion of " orientation-preserving isometries of a projective polyhedron ", which is reflected in the equality PSO ( 3 ) = PO ( 3 ).
It's difficult to find projective polyhedron in a sentence. 用projective polyhedron造句挺难的

It can be realized as a projective polyhedron ( a tessellation of the real projective plane by 4 triangles and 3 square ), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected.
It can be realized as a projective polyhedron ( a tessellation of the real projective plane by three quadrilaterals ), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into three equal parts.
It can be realized as a projective polyhedron ( a tessellation of the real projective plane by 4 triangles ), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into four equal parts.
Thus in particular the symmetry group of a projective polyhedron is the " rotational " symmetry group of the covering spherical polyhedron; the full symmetry group of the spherical polyhedron is then just the direct product with reflection through the origin, which is the kernel on passage to projective space.