Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Soddy's_hexlet> ?p ?o. }
Showing items 1 to 34 of
34
with 100 items per page.
- Soddy's_hexlet abstract "In geometry, Soddy's hexlet is a chain of six spheres (shown in grey in Figure 1), each of which is tangent to both of its neighbors and also to three mutually tangent given spheres. In Figure 1, these three spheres are shown as an outer circumscribing sphere (blue), and two spheres (not shown) above and below the plane the centers of the hexlet spheres lie on. In addition, the hexlet spheres are tangent to a fourth sphere (red in Figure 1), which is not tangent to the three others.According to a theorem published by Frederick Soddy in 1937, it is always possible to find a hexlet for any choice of mutually tangent spheres A, B and C. Indeed, there is an infinite family of hexlets related by rotation and scaling of the hexlet spheres (Figure 1); in this, Soddy's hexlet is the spherical analog of a Steiner chain of six circles. Consistent with Steiner chains, the centers of the hexlet spheres lie in a single plane, on an ellipse. Soddy's hexlet was also discovered independently in Japan, as shown by Sangaku tablets from 1822 in the Kanagawa prefecture.".
- Soddy's_hexlet thumbnail Rotating_hexlet_equator_opt.gif?width=300.
- Soddy's_hexlet wikiPageExternalLink 8646.html.
- Soddy's_hexlet wikiPageExternalLink J_Temple_Geometry.HTM.
- Soddy's_hexlet wikiPageExternalLink samukawa.html.
- Soddy's_hexlet wikiPageID "7463064".
- Soddy's_hexlet wikiPageRevisionID "555796821".
- Soddy's_hexlet hasPhotoCollection Soddy's_hexlet.
- Soddy's_hexlet title "Hexlet".
- Soddy's_hexlet urlname "Hexlet".
- Soddy's_hexlet subject Category:Euclidean_solid_geometry.
- Soddy's_hexlet subject Category:Theorems_in_geometry.
- Soddy's_hexlet type Abstraction100002137.
- Soddy's_hexlet type Communication100033020.
- Soddy's_hexlet type Message106598915.
- Soddy's_hexlet type Proposition106750804.
- Soddy's_hexlet type Statement106722453.
- Soddy's_hexlet type Theorem106752293.
- Soddy's_hexlet type TheoremsInGeometry.
- Soddy's_hexlet comment "In geometry, Soddy's hexlet is a chain of six spheres (shown in grey in Figure 1), each of which is tangent to both of its neighbors and also to three mutually tangent given spheres. In Figure 1, these three spheres are shown as an outer circumscribing sphere (blue), and two spheres (not shown) above and below the plane the centers of the hexlet spheres lie on.".
- Soddy's_hexlet label "Sexteto de Soddy".
- Soddy's_hexlet label "Sexteto de Soddy".
- Soddy's_hexlet label "Soddy's hexlet".
- Soddy's_hexlet label "ソディの6球連鎖".
- Soddy's_hexlet sameAs Sexteto_de_Soddy.
- Soddy's_hexlet sameAs ソディの6球連鎖.
- Soddy's_hexlet sameAs Sexteto_de_Soddy.
- Soddy's_hexlet sameAs m.0262jln.
- Soddy's_hexlet sameAs Q3298255.
- Soddy's_hexlet sameAs Q3298255.
- Soddy's_hexlet sameAs Soddy's_hexlet.
- Soddy's_hexlet wasDerivedFrom Soddy's_hexlet?oldid=555796821.
- Soddy's_hexlet depiction Rotating_hexlet_equator_opt.gif.
- Soddy's_hexlet isPrimaryTopicOf Soddy's_hexlet.