10 ENGLISH BOOKS RELATING TO «CATENOID»
Discover the use of
catenoid in the following bibliographical selection. Books relating to
catenoid and brief extracts from same to provide context of its use in English literature.
1
Differential Geometry and Its Applications
Compute the surface area of the catenoid generated by revolving the catenary
about the jr-axis. Show that this surface area is greater than the surface area of
two disks of radius 1. Hence, if the original boundary curve consisted of two
circles ...
2
The Language of Shape: The Role of Curvature in Condensed ...
The parallel B-sheet chains are drawn in red and they form a catenoid. Outside
the catenoid there are eight or-helices (green). (Adapted from [1].) Figure 6.2(b):
Fitting of a catenoid to the core created by the B-sheets. (Adapted from [3].) ...
S. Hyde, Z. Blum, T. Landh,
1996
3
Elements of the Geometry and Topology of Minimal Surfaces in ...
< catenoid r,(u,i>) = \y J = Re helicoid r2(u, v) = I y = Im I -/sinhio I = I Moreover, by
means of a bending we can wind the helicoid onto the corresponding catenoid,
where the bending can be carried out in the class of minimal surfaces. This
means ...
A. T. Fomenko, A. A. Tuzhilin
4
Portraits of the Earth: A Mathematician Looks at Maps
On the left is a catenoid; the profile curve is a catenary. On the right is the base
grid for a conformal azimuthal map of part of a catenoid; the small circles show
the pattern of area distortions of the map. the sphere. Not surprisingly, a variety of
...
5
The Geometry of the Generalized Gauss Map
Then (6.26), (6.27) defines a catenoid in TR . Case Ib: d , d not both zero, but
linearly dependent over IR . Then S 4 lies in some IR and is a "skew catenoid" of
the kind described above. 2 2 Case Ic: d, , d not both zero, but d, +d =0 . Then S
lies ...
David A. Hoffman, Robert Osserman,
1980
6
Minimal Surfaces, Stratified Multivarifolds, and the Plateau ...
We first study the behavior of the catenoid when its height is increased. The
boundary of the catenoid consists of two coaxial circles. Suppose they have the
same radius r , and that h is the distance between them. Suppose also that a is
the ...
7
Modern Differential Geometry of Curves and Surfaces with ...
The Catenoid We have already discussed various basic surfaces of revolution.
Next, we consider the catenoid. the surface of revolution generated by a catenary
(see Section 2.4). The catenoid has a standard parametrization catenoid[r](u, ...
Elsa Abbena, Simon Salamon, Alfred Gray,
2006
8
The Mathematics of Soap Films: Explorations with Maple
... way to verify the work above. The surface area of the catenoid obtained by
revolving y = ccosh(z/c) about the x-axis is given by /2lr y- / J- <catenoid.u x
catenoid.v] dudv, -XO where 'catenoid' is the parametrization of the catenoid
given below.
9
Statistical Thermodynamics and Differential Geometry of ...
4-catenoid with 4 spouts (2x) 3-catenoid (2x) double catenoid (2x) quadruple
catenoid (4x) 3-catenoid with 3 spouts (2x) 4-catenoid (2x) double catenoid (8x) 4
-catenoid with 4 spouts (2x) 4-catenoid with 2 spouts (2x) 4-catenoid zigzag strip
...
Howard Ted Davis, Johannes C. C. Nitsche,
1993
the maximum b.-ight of the partial catenoid is, cither exactly or very nearly, § of
the diameter of the bases. . This catenoid is represented by Fig. 21. " tiy.24 . Tiff.
SI Tig.25 '( Tiy.23 Let us now call attention to the slight spontaneous ...
5 NEWS ITEMS WHICH INCLUDE THE TERM «CATENOID»
Find out what the national and international press are talking about and how the term
catenoid is used in the context of the following news items.
Toyo Ito literally connects architecture to the people
Ito created spaces based on his concept of an “emerging grid,” a complex system of interconnecting catenoid surfaces, which look like hollow ... «The Japan Times, Nov 14»
FirstNews Briefs: AT&T, Cavium, Quortus, Octoshape, Catenoid …
Octoshape, a provider of cloud-based, over-the-top (OTT) stream acceleration and contribution technologies for broadcasters, and Catenoid, an ... «Wireless Week, Jul 14»
Scientists Explore The Pure Geometry Inside Our Cells
English: Author: --Wickerprints 21:13, 11 July... Wickerprints 21:13, 11 July 2006 (UTC) Description: Helicoid-catenoid isometric deformation. «Forbes, Jul 13»
'Crocheting Adventures with Hyperbolic Planes' wins oddest book …
The book includes instructions for the reader on how to 'crochet models of the hyperbolic plane, pseudosphere, and catenoid/helicoids'. «Metro, Mar 10»
Nazi spoons and worm hunting compete for odd book title award
... geometry,complete with instructions on how you too can 'crochet models of the hyperbolic plane, pseudosphere, and catenoid/helicoids'. «Metro, Feb 10»