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- Q3298255 subject Q7139601.
- Q3298255 subject Q7214704.
- Q3298255 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.".
- Q3298255 thumbnail Rotating_hexlet_equator_opt.gif?width=300.
- Q3298255 wikiPageExternalLink 8646.html.
- Q3298255 wikiPageExternalLink J_Temple_Geometry.HTM.
- Q3298255 wikiPageExternalLink samukawa.html.
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- Q3298255 wikiPageWikiLink Q65943.
- Q3298255 wikiPageWikiLink Q7139601.
- Q3298255 wikiPageWikiLink Q7214704.
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- Q3298255 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.".
- Q3298255 label "Soddy's hexlet".
- Q3298255 depiction Rotating_hexlet_equator_opt.gif.