10 ENGLISH BOOKS RELATING TO «TETRAHEDRA»
Discover the use of
tetrahedra in the following bibliographical selection. Books relating to
tetrahedra and brief extracts from same to provide context of its use in English literature.
1
No Nine Neighborly
Tetrahedra Exist
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?
2
An Introduction to Mineral Sciences
The OH groups in amphiboles are independent of the tetrahedra. 5. When
tetrahedra form infinite sheets, each tetrahedron has three bridging and one non-
bridging oxygen, i.e. Si:O = 1:2.5. The sheets have a net charge of [Si2O5],,2"~
e.g. in ...
3
Soils: Genesis and Geomorphology
Silicate minerals are classified according to how many corner O2~ anions each
silica tetrahedron shares with other tetrahedra, as well as on the geometric
arrangement of neighboring tetrahedra (Fig. 4.5). Additional classification criteria
will ...
Randall J. Schaetzl, Sharon Anderson, 2005
4
Proceedings of the 17th International Meshing Roundtable
Rao V. Garimella. acute triangulation of each face. In any case, the authors
suspect that the actual answer to these questions is close to 100 tetrahedra, if not
greater, so the lower bounds mentioned here should be considered preliminary.
5
Inorganic Structural Chemistry
The linking of tetrahedra takes place predominantly by sharing vertices. Edge-
sharing and especially face-sharing is considerably less frequent than among
octahedra. Two tetrahedra sharing a common vertex form a unit M2X7. This unit
is ...
6
Structural Crystallography of Inorganic Oxysalts
5.12(b)) contains five topological types of tetrahedra. However, it is easy to note
that, although B and C tetrahedra are topologically equivalent, their
configurations in the chain are different. To distinguish topological tetrahedra with
different ...
Sergey V. Krivovichev, 2009
7
Earth Systems: Processes and Issues
In some silicate minerals, such as olivines and garnets, individual silicon
tetrahedra share oxygens only with cations other than silicon. Their chemical
formulas therefore include (Si04) 4 anion complexes. A typical olivine, forsterite,
is written ...
8
Materials Crystal Chemistry
Within the same type of sheet, tetrahedra are connected to adjacent ones by
corner sharing. Between D and U type tetrahedra in the same layer, the
connection is by edge sharing and this is well illustrated in the insert of Fig.3-18(ii
). Fig.3-18(i) ...
Relva C. Buchanan, Taeun Park, 1997
9
Minerals: Their Constitution and Origin
(Al + Si) are sometimes expressed by the symbol T, for "tetrahedral". Similar
relationships exist for groups of two tetrahedra with Si:O ratios 2:(2 x \ + 3 x 1) = 2:
7 (Figure 26.2b), as in lawsonite (CaAl2Si2O7(OH)2-H2O), for double chains with
an ...
Hans-Rudolf Wenk, Andrei Bulakh, 2004
10
The Kepler Conjecture: The Hales-Ferguson Proof
All QR-tetrahedra and QL-tetrahedra are D-simplices. The Hales–Ferguson
partition rule starts by selecting which D-simplices to include in the D-system.
These consist of: (i) All QR-tetrahedra. (ii) Some QL-tetrahedra. The QL-
tetrahedra ...
Jeffrey C. Lagarias, 2011
10 NEWS ITEMS WHICH INCLUDE THE TERM «TETRAHEDRA»
Find out what the national and international press are talking about and how the term
tetrahedra is used in the context of the following news items.
Tougher than tough: borate that expands under pressure
He further comments that “in fact, the boron atoms can be either three- or four-coordinated with oxygen atoms to form BO3 triangles or BO4 tetrahedra, which can ... «MaterialsViews, Jul 15»
Crystal structure and magnetism - new insight into the fundamentals …
Tetrahedra with a nickel atom at their centre are somewhat elongated due to the Jahn-Teller effect (green), while the tetrahedrons with a copper atom at their ... «Nanowerk, Jul 15»
Polymer researchers create a new class of hybrid materials (Update)
A tetrahedron is a polyhedron composed of four triangular faces, three of which meet at ... of modern polymers – by creating an original class of giant tetrahedra. «Phys.Org, Apr 15»
Selective assemblies of giant tetrahedra via precisely controlled …
Selective assemblies of giant tetrahedra via precisely controlled positional interactions. Mingjun Huang,; Chih-Hao Hsu,; Jing Wang,; Shan Mei,; Xuehui Dong, ... «Science Magazine, Apr 15»
Prof. Zong Chuanming to Receive 2015 Conant Prize
Lagarias win this prize for their article “Mysteries in Packing Regular Tetrahedra”. They systematically reviews the regular tetrahedron packing theories, giving ... «Peking University News, Dec 14»
Jeffrey Lagarias and Chuanming Zong to receive 2015 Conant Prize
They are honored for their article "Mysteries in Packing Regular Tetrahedra," Notices of the AMS, December 2012; available without subscription here. «EurekAlert, Dec 14»
British Objects of Constant Width
They are called Meissner tetrahedra, and you can make one by "fattening up" a regular tetrahedron just right. It is conjectured, but still not known, that a Meissner ... «Scientific American, Jul 14»
Stanford lecturer and artist leads 'drawing orchestra' through …
Physics faculty members and graduate students use tetrahedra to create a less-than-perfect structure that explores the connection between shape and sound. «Stanford University News, Apr 14»
Pressure to form exotic ionic salts irresistible for nitrogen
Between 2.5 and 7.1TPa, the most stable phase comprises well separated N2 dimers embedded within a matrix of N5 tetrahedra. The researchers used two ... «Chemistry World, Oct 13»
Master sculptor had passion for experimentation
The stainless-steel Tetrahedra (1974) on the Festival Centre Plaza and the Mall's Balls (1977) are well-known pieces. Many others followed, including the ... «Sydney Morning Herald, Feb 13»
