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The Resource No nine neighborly tetrahedra exist

No nine neighborly tetrahedra exist

Label
No nine neighborly tetrahedra exist
Title
No nine neighborly tetrahedra exist
Creator
Subject
Language
eng
Summary
A long standing conjecture of Bagemihl (1956) states that there can be at most eight tetrahedra in 3-space, such that every two of them meet in a two-dimensional 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 3-space, 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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 105-106)
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 nearly-neighborly 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
Publication
Bibliography note
Includes bibliographical references (pages 105-106)
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 nearly-neighborly 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

Library Locations

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      Ashton Street, Liverpool, L69 3DA, GB
      53.418074 -2.967913
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