Geodesic. Medical search. Frequent questions

In designing geodesic domes Fuller found the structures capable of maximizing interior space while using the least amount of surface area. (archpaper.com)
His geodesic domes epitomize a blend of geometric ingenuity and structural efficiency. (archpaper.com)
As a young engineering student I was naturally drawn to geodesic domes as a structural system with their promise of minimal cost and weight for maximum strength. (instructables.com)
With an uber modern feel, geodomes or geodesic domes are becoming an increasingly popular choice for unusual memorable holidays, both in the UK and overseas. (countrycottagesonline.net)
Our vision at DomeGuys International is for geodesic domes to serve as a medium to take part in a community and movement. (domeguys.com)
We feel geodesic domes are a symbol of progressive thought represented by a balance between function and aesthetics. (domeguys.com)
Because geodesic domes are our culture, they allow us to be a part of some spectacular dreams by transforming them into remarkable realities. (domeguys.com)
DomeGuys International has literally traveled the world creating, building and installing geodesic domes for almost every project conceivable in almost every condition imaginable. (domeguys.com)
We offer a wide variety of elegant and intelligent geodesic domes to meet your needs. (domeguys.com)
Geodesic domes: the (failed? (faircompanies.com)
based on a network of circles, geodesic domes sustained themselves through a network of triangles that created an evenly distributed tension throughout a system of nodes interconnected with bars or struts of different materials. (faircompanies.com)
Enamored by a concept that allowed lightweight systems with a high degree of structural integrity and strength, Fuller would soon be associated with geodesic domes, dreaming of geodesic layers for gardens, buildings, or even cities. (faircompanies.com)
A polymath from a young age, Fuller had the intuition that the tension-compression equilibrium giving distributed strength to geodesic domes also held key patterns found in the mechanics of living. (faircompanies.com)
All of the Backcountry Hot Tubs & Saunas Outdoors geodesic domes are built with high quality materials and components and should last over 15 years if it is looked after well. (pinterest.ca)
In regards to building permits and codes for geodesic domes, every state, city and county have their own. (domeguys.com)
The Geodesic Domes, which sit near Michigan Central Station in Mexicantown, are basically shells at this point. (curbed.com)

In a Riemannian manifold or submanifold, geodesics are characterised by the property of having vanishing geodesic curvature. (wikipedia.org)
Receive email alerts on new books, offers and news in Statisical Aspects of Geodesic Flows in Nonpositive Curvature. (cambridge.org)
Given a 2-dimensional conformal foliation F of a Riemannian manifold M, the problem of finding a 1-dimensional subfoliation G, conformal in M, whose leaves have prescribed geodesic curvature in the leaves of 9 is equivalent to a Pfaff differential system on a circle bundle over M. We study such pairs of foliations on a 3- and 4-manifold. (lu.se)
Let $\kappa_g$ denote the geodesic curvature . (stackexchange.com)

In geometry, a geodesic (/ˌdʒiː.əˈdɛsɪk, -oʊ-, -ˈdiːsɪk, -zɪk/) is a curve representing in some sense the shortest path (arc) between two points in a surface, or more generally in a Riemannian manifold. (wikipedia.org)
Geodesics are commonly seen in the study of Riemannian geometry and more generally metric geometry. (wikipedia.org)
This article presents the mathematical formalism involved in defining, finding, and proving the existence of geodesics, in the case of Riemannian manifolds. (wikipedia.org)
The article Levi-Civita connection discusses the more general case of a pseudo-Riemannian manifold and geodesic (general relativity) discusses the special case of general relativity in greater detail. (wikipedia.org)
The Riemannian length of this geodesic path provides a measure of the distance between two shapes. (nist.gov)
We consider the Riemannian geometry defined on a convex set by the Hessian of a self-concordant barrier function, and its associated geodesic curves. (optimization-online.org)

Buckminster Fuller debuted his geodesic dome concept at the 1954 Milan Triennale as a large cardboard model. (archpaper.com)

In this paper, we study the holomorphicity of totally geodesic Kobayashi isometric embeddings between bounded symmetric domains. (harvard.edu)
Infinite geodesics and isometric embeddings in Carnot groups of step 2. (jyu.fi)

In Spring of 2019 I will need help clearing land of flammable and dead plants around the geodesic dome. (workaway.info)

Playing with a 6 meter geodesic dome tent, a video projector and a spheric mirror: CAVE in a Dome! (ccc.de)

0 Conference Paper %T Geodesic Convolutional Shape Optimization %A Pierre Baque %A Edoardo Remelli %A Francois Fleuret %A Pascal Fua %B Proceedings of the 35th International Conference on Machine Learning %C Proceedings of Machine Learning Research %D 2018 %E Jennifer Dy %E Andreas Krause %F pmlr-v80-baque18a %I PMLR %P 472--481 %U https://proceedings.mlr.press/v80/baque18a.html %V 80 %X Aerodynamic shape optimization has many industrial applications. (mlr.press)

On this differential manifold, a line between to points in usual Euclidean space is generalized to a geodesic path between two shapes in shape space. (nist.gov)
We further introduce a simple but effective mesh embedding approach that allows geodesic paths in an anisotropic path to be computed efficiently using existing algorithms designed for Euclidean geodesics. (eg.org)

An important class of models arising in fluid mechanics represents PDEs formulated as geodesic flows on the group of diffeomorphisms of some manifold. (lu.se)

More generally, in the presence of an affine connection, a geodesic is defined to be a curve whose tangent vectors remain parallel if they are transported along it. (wikipedia.org)
First, I would like to know why it is impossible to do a reparametrization of a geodesic with something other than an affine function. (stackexchange.com)

(On a sphere a geodesic is a great circle arc) compared to a Fuller Dome where the members are cut to size so a straight, rigid member can be used. (instructables.com)
Fuller developed the mathematics for the geodesic dome and helped make it an architectural reality. (openculture.com)
Fuller was co-owner of Synergetics, Inc and held the patent to geodesic dome geometry. (openculture.com)

We present a simple decomposition scheme that partitions the interior of $P$ into $O(n)$ so-called geodesic triangles, so that any line segment interior to $P$ crosses at most 2 log $n$ of these triangles. (princeton.edu)

I am planning to bring my geodesic dome (diameter 5 meter). (ccc.de)
11 meter diameter Geodesic dome greenhouse, with 1 x door 2.8 meters high and 1.7 meter wide. (adobe.com)
In the image below the circle planar radius is 10km, but the geodesic line measurement for the diameter is 12km. (stackexchange.com)

minimizing the energy leads to the same equations for a geodesic (here "constant velocity" is a consequence of minimization). (wikipedia.org)
The map t → t 2 {\displaystyle t\to t^{2}} from the unit interval on the real number line to itself gives the shortest path between 0 and 1, but is not a geodesic because the velocity of the corresponding motion of a point is not constant. (wikipedia.org)

We had an amazing day today decorating a bunch of scrap wheels to go up on the building surrounding our entrance and building a geodesic dome made out of scrap wheels. (thebristolbikeproject.org)

Do Gromov hyperbolic spaces admit concical geodesic bicombings? (mathoverflow.net)

As I see it, geodesics are determined by their image, because a geodesic is a curve that minimizes distance, and the length of a curve is independent of the parametrization, right? (stackexchange.com)
Your questions are relevant for any curve, not just geodesics. (stackexchange.com)

Going the "long way round" on a great circle between two points on a sphere is a geodesic but not the shortest path between the points. (wikipedia.org)
On a sphere, the images of geodesics are the great circles. (wikipedia.org)
On the sphere, the geodesics are great circle arcs, forming a spherical triangle. (wikipedia.org)
A Stardome does require a flexible member, one that can be bent around the geodesic of the sphere. (instructables.com)

In such a case, any of these curves is a geodesic. (wikipedia.org)
In general, geodesics are not the same as "shortest curves" between two points, though the two concepts are closely related. (wikipedia.org)

For two populations of cells, dissimilarity matrices are created whose entries are geodesic distances between cell shape pairs. (nist.gov)
Fast algorithms are needed and were developed to compute geodesic distances. (nist.gov)
I use geodesic measurements rather than planar measurements as during user testing people questioned the tool's measurements for distances they already knew (such as driving between towns). (stackexchange.com)
OpenLayers only allows for drawing circles using planar distances, so when a user measures the circle with the geodesic measurement tool the values do not match. (stackexchange.com)
ArcGIS v.10.2 (ESRI, Redlands CA) was used to calculate the population-weighted centroids for each district (or equivalent) and computing the geodesic distances between each district to all others. (cdc.gov)

The geodesic shelter has been called the most efficient structural design ever conceived, possessing approximately one-third less surface area than a rectilinear structure of similar size. (domeguys.com)

6] A. Deitmar, A prime geodesic theorem for higher rank spaces, Geom. (degruyter.com)

First we show that for a $C^1$-smooth totally geodesic Kobayashi isometric embedding $f\colon \Omega\to\Omega'$ where $\Omega$, $\Omega'$ are bounded symmetric domains, if $\Omega$ is irreducible and $\text{rank}(\Omega) \geq \text{rank}(\Omega')$ or more generally, $\text{rank}(\Omega) \geq \text{rank}(f_*v)$ for any tangent vector $v$ of $\Omega$, then $f$ is either holomorphic or anti-holomorphic. (harvard.edu)

We define wires as geodesics in a new tensor-based anisotropic metric, which improves upon previous metrics in stability and feature-awareness. (eg.org)

A contiguous segment of a geodesic is again a geodesic. (wikipedia.org)

Backcountry Recreation Geodesic Dome Tents are off grid eco-friendly tents can be setup in any location with minimal impact on the surrounding environment. (pinterest.ca)

Then, a numerical algorithm is used to determine the geodesic distance between the shapes of two boundary contours. (nist.gov)

With a geometry that creates a pattern of stars and pentagons, a minimal number of members and simple joint construction, the Stardome represents a fast, elegant and simple approach to geodesic dome construction. (instructables.com)

We show a prime geodesic theorem for the group SL 3 ⁢ ( ℤ ) counting those geodesics whose lifts lie in the split Cartan subgroup. (degruyter.com)

11] A. Deitmar and R. McCallum, A prime geodesic theorem for higher rank buildings, Kodai Math. (degruyter.com)

For example, the cell's surface membrane and supporting cortical cytoskeleton, which are most easily studied in the red blood cell, form a prestressed geodesic (triangulated) structure that gains its mechanical stability by incorporating rigid actin protofilaments that are held in place by surrounding spectrin molecules that act like tensed springs or cables suspended from the overlying lipid bilayer (Vera et al. (faircompanies.com)
With a simple circular orbit in the equatorial plane taken as the initial geodesic we obtain finite eccentricity orbits in the form of Taylor series with the eccentricity playing the role of small parameter. (arxiv.org)
rather approximated by a polygon w/ as many points as you care to draw), use a the direct form of geodesic calculations: given a point, a direction (azimuth), and a distance it gives you the resulting point. (stackexchange.com)
gamma_v$ may not be defined in $1$ , but we can do a reparametrization of geodesics by any linear function, so what I'm asking is: do reparametrizations of the form $t \mapsto kt$ preserve the maximality of a geodesic? (stackexchange.com)

Starting with an exact and simple geodesic, we generate approximate geodesics by summing up higher-order geodesic deviations within a General Relativistic setting, without using Newtonian and post-Newtonian approximations. (arxiv.org)

Where D(Xi Yj) is the population centroid-based geodesic distance between Xi to Yj. (cdc.gov)

Then every $y\in (X,d)$ is connected to $x$ by a unique geodesic. (mathoverflow.net)

In contrast to classical IPMs, we update iterates with a geodesic of the cone instead of the kernel of the linear constraints. (optimization-online.org)

In the original sense, a geodesic was the shortest route between two points on the Earth's surface. (wikipedia.org)
A geodesic triangle is formed by the geodesics joining each pair out of three points on a given surface. (wikipedia.org)
For geodesics, it also has the advantage that the critical points of energy functional are the constant speed geodesics (with the speed uniquely determined if the end points of the geodesic are fixed). (stackexchange.com)

In particular, the path taken by a falling rock, an orbiting satellite, or the shape of a planetary orbit are all geodesics in curved spacetime. (wikipedia.org)
The geodesic length of this path is 0.75. (nist.gov)

As for your second question, the maximality of a geodesic does not depend on its parameterization. (stackexchange.com)

In general relativity, geodesics in spacetime describe the motion of point particles under the influence of gravity alone. (wikipedia.org)

In a follow-up post to this week's photo of the Geodesic Dome fountains , here is a close up shot of the Geodesic Dome. (geofflivingston.com)

DomeGuys International's mission is to offer the highest quality geodesic dome available on the market. (domeguys.com)

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