AbstractThe twelve point Desmic configuration in Euclidean three space is composed of three finite sets with the property that any line intersecting points of two of the sets also intersects the remaining set. The Desmic conjecture asserts that this is the only such configuration. In this paper the Desmic conjecture is proven
2000 Mathematics Subject Classification: 51E14, 51E30.We propose a method of constructing partial St...
AbstractFor a configuration S of n points in E2, H. Edelsbrunner (personal communication) has asked ...
A long-standing conjecture of Richter and Thomassen states that the total number of intersection poi...
AbstractThis note answers affirmatively the following question which appeared in a list of problems ...
In this thesis we are mainly interested in desmic systems and desmic surfaces. A desmic system is th...
AbstractUsing a Singer cycle in Desarguesian planes of order q≡ 1(mod3), q a prime power, Brouwer 2 ...
In the present note we investigate to which extent the configuration of 9 lines intersecting in trip...
AbstractReay has conjectured that any set of(m − 1)(d + 1) + k + 1 points in general position in Rd ...
© Geometry & Topology PublicationsFrom any configuration of finitely many points in Euclidean three-...
AbstractLet S be a set of n points in the plane, and let T be a set of m triangles with vertices in ...
AbstractA theorem of de Bruijn and Erdös [2] asserts that every finite geometry (see section 1 for d...
If two closed Jordan curves in the plane have precisely one point in common, then it is called a tou...
AbstractLet P be a set of n points in R3, not all of which are in a plane and no three on a line. We...
A long standing conjecture of Richter and Thomassen states that the total number of intersection poi...
AbstractIn this paper we show that blocking sets of cardinality less than 3(q+ 1)/2 (q=pn) in Desarg...
2000 Mathematics Subject Classification: 51E14, 51E30.We propose a method of constructing partial St...
AbstractFor a configuration S of n points in E2, H. Edelsbrunner (personal communication) has asked ...
A long-standing conjecture of Richter and Thomassen states that the total number of intersection poi...
AbstractThis note answers affirmatively the following question which appeared in a list of problems ...
In this thesis we are mainly interested in desmic systems and desmic surfaces. A desmic system is th...
AbstractUsing a Singer cycle in Desarguesian planes of order q≡ 1(mod3), q a prime power, Brouwer 2 ...
In the present note we investigate to which extent the configuration of 9 lines intersecting in trip...
AbstractReay has conjectured that any set of(m − 1)(d + 1) + k + 1 points in general position in Rd ...
© Geometry & Topology PublicationsFrom any configuration of finitely many points in Euclidean three-...
AbstractLet S be a set of n points in the plane, and let T be a set of m triangles with vertices in ...
AbstractA theorem of de Bruijn and Erdös [2] asserts that every finite geometry (see section 1 for d...
If two closed Jordan curves in the plane have precisely one point in common, then it is called a tou...
AbstractLet P be a set of n points in R3, not all of which are in a plane and no three on a line. We...
A long standing conjecture of Richter and Thomassen states that the total number of intersection poi...
AbstractIn this paper we show that blocking sets of cardinality less than 3(q+ 1)/2 (q=pn) in Desarg...
2000 Mathematics Subject Classification: 51E14, 51E30.We propose a method of constructing partial St...
AbstractFor a configuration S of n points in E2, H. Edelsbrunner (personal communication) has asked ...
A long-standing conjecture of Richter and Thomassen states that the total number of intersection poi...