Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Roman surface (so called because Jakob Steiner was in Rome when he thought of it) is a self-intersecting mapping of the real projective plane into three-dimensional space, with an unusually high degree of symmetry. This mapping is not an immersion of the projective plane; however the figure resulting from removing six singular points is one.The origin is a triple point, and each of the xy-, yz-, and xz-planes are tangential to the surface there. The other places of self-intersection are double points, defining segments along each axis which terminate in pinch points. The entire surface has tetrahedral symmetry. It is a particular type (called type 1) of Steiner surface, that is, a 3-dimensional linear projection of the 5-dimensional Veronese surface, which is a natural embedding of projective space in 5-dimensional space. It contains four pinch-points or cross-caps.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.