No Nine Neighborly Tetrahedra Exist
Joseph Zaks
1991 urt. · American Mathematical Society: Memoirs of the American Mathematical Society 447. liburua · American Mathematical Soc.
Liburu elektronikoa
106
orri
reportBalorazioak eta iritziak ez daude egiaztatuta Lortu informazio gehiago
Liburu elektroniko honi buruz
This book is devoted to a proof of the following problem of F Bagemihl (1956): What is the maximum number of tetrahedra in three-space such that every two of them meet in a two-dimensional set? Such families are called neighborly, Bagemihl presented an example of eight neighborly tetrahedra and showed that a neighborly family of tetrahedra contains at most seventeen members. This upper bound was reduced to nine in 1965. The question of whether or not there can be nine neighborly tetrahedra has been repeatedly mentioned in the literature since 1956. This book also treats the problem of the number of combinatorially different examples of eight neighborly tetrahedra. The author concludes by reproducing a proof that there can be at most fourteen tetrahedra in three-space such that every two tetrahedra are separated by a plane containing a facet of each of them. The book allows readers to follow the solution of this long-standing open problem by using various tools, including a few extensive computer searches.
Baloratu liburu elektroniko hau
Eman iezaguzu iritzia.
Irakurtzeko informazioa
Telefono adimendunak eta tabletak
Instalatu Android eta iPad/iPhone gailuetarako Google Play Liburuak aplikazioa. Zure kontuarekin automatikoki sinkronizatzen da, eta konexioarekin nahiz gabe irakurri ahal izango dituzu liburuak, edonon zaudela ere.
Ordenagailu eramangarriak eta mahaigainekoak
Google Play-n erositako audio-liburuak entzuteko aukera ematen du ordenagailuko web-arakatzailearen bidez.
Irakurgailu elektronikoak eta bestelako gailuak
Tinta elektronikoa duten gailuetan (adibidez, Kobo-ko irakurgailu elektronikoak) liburuak irakurtzeko, fitxategi bat deskargatu beharko duzu, eta hura gailura transferitu. Jarraitu laguntza-zentroko argibide xehatuei fitxategiak irakurgailu elektroniko bateragarrietara transferitzeko.
