The Resource No nine neighborly tetrahedra exist
No nine neighborly tetrahedra exist
Resource Information
The item No nine neighborly tetrahedra exist represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item No nine neighborly tetrahedra exist represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 A long standing conjecture of Bagemihl (1956) states that there can be at most eight tetrahedra in 3space, such that every two of them meet in a twodimensional set. We settle this conjecture affirmatively. We get some information on families of similar nature, consisting of eight tetrahedra. We present a joint result, showing that there can be at most fourteen tetrahedra in 3space, such that for every two of them there is a plane which separates them and contains a facet of each one of them
 Language
 eng
 Extent
 v, 106 pages
 Contents

 Computer search for case #20, 21, 22 and #23; end of the proof
 On eight neighborly tetrahedra
 At most fourteen nearlyneighborly tetrahedra
 The Baston matrix; the 24 solutions
 Cases #4, 5, 7, 8, 11, 14, 15, 19 and #24
 Types of tetrahedra
 The use of the Baston matrices
 Computer search for case #2
 Computer search for case #3
 Computer search for case #6, 9 and #10
 Computer search for case #12, 16, 17 and #18
 Isbn
 9780821825174
 Label
 No nine neighborly tetrahedra exist
 Title
 No nine neighborly tetrahedra exist
 Language
 eng
 Summary
 A long standing conjecture of Bagemihl (1956) states that there can be at most eight tetrahedra in 3space, such that every two of them meet in a twodimensional set. We settle this conjecture affirmatively. We get some information on families of similar nature, consisting of eight tetrahedra. We present a joint result, showing that there can be at most fourteen tetrahedra in 3space, such that for every two of them there is a plane which separates them and contains a facet of each one of them
 Cataloging source
 UkLiU
 http://library.link/vocab/creatorDate
 1940
 http://library.link/vocab/creatorName
 Zaks, Joseph
 Series statement
 Memoirs of the American Mathematical Society
 Series volume
 447
 http://library.link/vocab/subjectName
 Tetrahedra
 Label
 No nine neighborly tetrahedra exist
 Bibliography note
 Includes bibliographical references (pages 105106)
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Computer search for case #20, 21, 22 and #23; end of the proof
 On eight neighborly tetrahedra
 At most fourteen nearlyneighborly tetrahedra
 The Baston matrix; the 24 solutions
 Cases #4, 5, 7, 8, 11, 14, 15, 19 and #24
 Types of tetrahedra
 The use of the Baston matrices
 Computer search for case #2
 Computer search for case #3
 Computer search for case #6, 9 and #10
 Computer search for case #12, 16, 17 and #18
 Dimensions
 26 cm.
 Extent
 v, 106 pages
 Isbn
 9780821825174
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 Label
 No nine neighborly tetrahedra exist
 Bibliography note
 Includes bibliographical references (pages 105106)
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Computer search for case #20, 21, 22 and #23; end of the proof
 On eight neighborly tetrahedra
 At most fourteen nearlyneighborly tetrahedra
 The Baston matrix; the 24 solutions
 Cases #4, 5, 7, 8, 11, 14, 15, 19 and #24
 Types of tetrahedra
 The use of the Baston matrices
 Computer search for case #2
 Computer search for case #3
 Computer search for case #6, 9 and #10
 Computer search for case #12, 16, 17 and #18
 Dimensions
 26 cm.
 Extent
 v, 106 pages
 Isbn
 9780821825174
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Nonineneighborlytetrahedraexist/apAlWDKJIns/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Nonineneighborlytetrahedraexist/apAlWDKJIns/">No nine neighborly tetrahedra exist</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>