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Just as a 3D shape can be projected onto a flat sheet, so a 4-D shape can be projected onto 3-space or even onto a flat sheet. One common projection is a Schlegel diagram which uses stereographic projection of points on the surface of a 3-sphere into three dimensions, connected by straight edges, faces, and cells drawn in 3-space. Sectioning
The convex forms are listed in order of degree of vertex configurations from 3 faces/vertex and up, and in increasing sides per face. This ordering allows topological similarities to be shown. There are infinitely many prisms and antiprisms, one for each regular polygon; the ones up to the 12-gonal cases are listed.
A ductile material must have a high degree of plasticity and strength so that large deformations can take place without failure or rupture of the material. In ductile extension, a material that exhibits a certain amount of elasticity along with a high degree of plasticity. [3] Durability: Ability to withstand wear, pressure, or damage; hard-wearing
In geometry, a zonohedron is a convex polyhedron that is centrally symmetric, every face of which is a polygon that is centrally symmetric (a zonogon).Any zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three-dimensional space, or as a three-dimensional projection of a hypercube.
A scytale. In cryptography, a scytale (/ ˈ s k ɪ t əl iː /; also transliterated skytale, Ancient Greek: σκυτάλη skutálē "baton, cylinder", also σκύταλον skútalon) is a tool used to perform a transposition cipher, consisting of a cylinder with a strip of parchment wound around it on which is written a message.
A group of high-quality pieces apparently originating in the Rhineland, which use both niello and enamel, include what may be the earliest reliquary with scenes of the murder and burial of Thomas Becket, probably from a few years after his death in 1170 (The Cloisters). Eight large nielloed plaques decorate the sides and roof, six with figures ...
Most of the known itacolumite specimens are also fine-grained. In some cases, they are said to lose their flexibility after being dried for some time, probably because of the hardening of the interstitial substance, but many specimens kept in a dry atmosphere for years retain this property to a high degree.
Early Gothic architecture was the result of the emergence in the 12th century of a powerful French state centered in the Île-de-France.King Louis VI of France (1081–1137), had succeeded, after a long struggle, in bringing the barons of northern France under his control, and successfully defended his domain against attacks by the English King, Henry I of England (1100–1135).