Über die von vier Kugelbüscheln erzeugten Flächen-Sechseck-Waben

Abstract

In this work, we consider four one-parameter families of spheres which do not belong to the same bundle with the additional condition that three of these families of spheres cut the “sphere”z=0 belonging to the fourth family in a hexagonal three-web formed by the three families of curves defined by the equationsx 2 +y 2=u 1, x=u 2, y=u 3 x. Then, we determine these families of spheres in such a way that they form a hexagonal surface 4-web.