Global Information Lookup Global Information

Desmic system information


Two desmic tetrahedra. The third tetrahedron of this system is not shown, but has one vertex at the center and the other three on the plane at infinity.
The Reye configuration with the same 12 vertices as a desmic system

In projective geometry, a desmic system (from Greek δεσμός  'band, chain') is a set of three tetrahedra in 3-dimensional projective space, such that any two are desmic (related such that each edge of one cuts a pair of opposite edges of the other). It was introduced by Stephanos (1879). The three tetrahedra of a desmic system are contained in a pencil of quartic surfaces.

Every line that passes through two vertices of two tetrahedra in the system also passes through a vertex of the third tetrahedron. The 12 vertices of the desmic system and the 16 lines formed in this way are the points and lines of a Reye configuration.

and 8 Related for: Desmic system information

Request time (Page generated in 0.761 seconds.)

Desmic system

Last Update:

a desmic system (from Greek δεσμός  'band, chain') is a set of three tetrahedra in 3-dimensional projective space, such that any two are desmic (related...

Word Count : 329

Stellated octahedron

Last Update:

of the other tetrahedron. These two tetrahedra can be completed to a desmic system of three tetrahedra, where the third tetrahedron has as its four vertices...

Word Count : 1158

Glossary of classical algebraic geometry

Last Update:

lines and 10 points in Desargues' theorem. desmic system A desmic system is a configuration of three desmic tetrahedra. developable 1.  (Noun) A 1-dimensional...

Word Count : 11125

List of Greek mathematicians

Last Update:

Salem Prize. Cyparissos Stephanos (1857–1917) - Notable contributor of desmic systems. Katia Sycara - Professor in the Carnegie Mellon School of Computer...

Word Count : 1049

Reye configuration

Last Update:

tetrahedra together with the tetrahedron of the remaining 4 points form a desmic system of three tetrahedra. Any two disjoint spheres in three dimensional space...

Word Count : 939

Cyparissos Stephanos

Last Update:

twenty-five original works in European journals. He is known for introducing Desmic system. He received his PhD in 1878 from the National and Kapodistrian University...

Word Count : 880

List of University of Athens alumni

Last Update:

(1847-1912), physicist Cyparissos Stephanos (1857-1917), mathematician, Desmic system Elly Agallidis (1914–2006), physicist/physical chemist Benediktos Adamantiades...

Word Count : 792

Pappus configuration

Last Update:

are in perspective with each other in four different ways, forming a desmic system of tetrahedra. For any nonsingular cubic plane curve in the Euclidean...

Word Count : 580
PDF Search Engine © AllGlobal.net