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1Relating to or denoting the shortest possible line between two points on a sphere or other curved surface.
‘He solved a problem posed by Beltrami of representing one surface on a second surface in such a way that geodesic lines in the first correspond to geodesic lines in the second.’
‘He introduced the geodesic curvature although he did not use the term which was due to Bonnet who discovered it independently in 1848.’
‘A formula for the line integral of the geodesic curvature along a closed curve is known as the Gauss Bonnet theorem.’
‘A geodesic sun-tracking model was developed to determine sun position in the sky.’
‘By 1738 the geodesic measurements carried out to measure the length of a meridian degree had produced very strong evidence for the flattening at the poles.’
1.1(of a dome or other structure) constructed from struts which follow geodesic lines and typically form an open framework of triangles and polygons.
‘Standing just off center, the pod is a geodesic wood structure.’
‘Another bloke and I build just about every type of shed, from a log cabin to a geodesic skeleton-framed dome.’
‘This reasonably priced system provides highly machined plastic connectors and sufficient highly engineered struts in various lengths to build scores of geodesic forms.’
‘The geodesic grid is scaled according to the size of each dome and except in the smallest dome, where it becomes rather dense, the effect is amazingly light for such enormous spans.’
‘The Swiss mathematician Leonhard Euler had proved that a geodesic structure must contain 12 pentagons to close into a spheroid, although the number of hexagons may vary.’
‘Another Londoner made much the same point by stationing a high-tech monitor, encased in a clear plastic sphere, within a white geodesic hut.’
‘I like the look of their geodesic tent but would rather take in the view from the comfort of the revolving restaurant at Piz Gloria.’
‘The tumultuous morass of geodesic structures is cobbled together from aluminum poles, plastic bags, bed sheets, and rope.’
‘Construction is geodesic, with a steel exo-skeleton of hexagonal grid of tubular compression members joined by standard cast connections.’
‘Epcot opened in 1982 at Walt Disney World in Florida with the ‘Spaceship Earth’ attraction in the first completely spherical geodesic structure.’
‘Like a geodesic structure, an increase in the number of nodes should lead to increased stability and strength of the whole system.’
‘A geodesic lattice framework, referred to as a ‘diagrid structure,’ supports the building and is, in effect, the largest radiator in London.’
‘His work in studying the trajectories of point masses on a surface led to certain non-linear differential equations whose solution also gave properties of geodesics.’
‘Fuller's ideas about creating more flexible, sustainable structures by combining technology with models of good design found in nature, like geodesics, were a gestalt to his inquisitive mind.’
‘The theory of the geodesics in the large on such surfaces was developed later in the famous memoirs by P Koebe.’
‘Those distortions guide the moving masses along straight-line geodesics, which look like the curved trajectories that physicists call orbits.’
‘In this latter topic he had to solve various problems of differential geometry and geodesics.’
‘Second, geodesics are circular arcs orthogonal to the unit circle.’
‘Using this approximation in Maxwell's equations we see that light travels along null geodesics.’
‘He then considered the problem of when the geodesics on a surface could be represented as straight lines on the plane.’
‘We take as given that the desired curve C is the unique Euclidean circle that is orthogonal to every geodesic through A.’
‘Foster called him a ‘lone voice,’ whose work with geodesics demonstrated how building form could be both economical and ecological.’
‘When this happens, the necessary conditions for the existence and uniqueness of these geodesics are violated.’
‘The photons that reached its senses followed paths that varied slightly from the straight-line geodesics of flat spacetime.’
‘Since no strong theoretical reason exists to confine the analysis to geodesics, Stephenson and Zelen's measure might be preferable.’
‘He showed how strong triangle-based designs are with his geodesics.’
‘So many blobs are simply the result of stacked geodesics, like Grimshaw's Eden project, a series of bubble-forms that remind me of what geologists call globular clusters.’
‘Returning to the University of Breslau he submitted a dissertation on geodesics of spheroids in 1862.’