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 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
- 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 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
- 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 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
- 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
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/No-nine-neighborly-tetrahedra-exist/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/No-nine-neighborly-tetrahedra-exist/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>
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/No-nine-neighborly-tetrahedra-exist/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/No-nine-neighborly-tetrahedra-exist/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>
