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A uniform polyhedron is a polyhedron in which the faces are regular and they are isogonal; examples include Platonic and Archimedean solids as well as prisms and antiprisms. [3] The Johnson solids are named after American mathematician Norman Johnson (1930–2017), who published a list of 92
A Johnson solid is a convex polyhedron whose faces are all regular polygons. [1] Here, a polyhedron is said to be convex if the shortest path between any two of its vertices lies either within its interior or on its boundary, none of its faces are coplanar (meaning they do not share the same plane, and do not "lie flat"), and none of its edges are colinear (meaning they are not segments of the ...
In mathematics, a Johnson solid is a type of convex polyhedron. Pages in category "Johnson solids" The following 97 pages are in this category, out of 97 total. ...
A vapor can exist in equilibrium with a liquid (or solid), in which case the gas pressure equals the vapor pressure of the liquid (or solid). A supercritical fluid (SCF) is a gas whose temperature and pressure are above the critical temperature and critical pressure respectively. In this state, the distinction between liquid and gas disappears.
Liquid crystal: Properties intermediate between liquids and crystals. Generally, able to flow like a liquid but exhibiting long-range orientational order. Supercritical fluid: A fluid with properties intermediate of liquids and gasses. At sufficiently high temperatures and pressures, the distinction between liquid and gas disappears, resulting ...
[1] [2] Some examples of non-composite polyhedron are the prisms, antiprisms, and the other seventeen Johnson solids. [1] [3] Among the regular polyhedra, the regular octahedron and regular icosahedron are composite. [4] One of the Johnson solids, elongated square pyramid, is composite.
In geometry, a near-miss Johnson solid is a strictly convex polyhedron whose faces are close to being regular polygons but some or all of which are not precisely regular. Thus, it fails to meet the definition of a Johnson solid, a polyhedron whose faces are all regular, though it "can often be physically constructed without noticing the discrepancy" between its regular and irregular faces. [1]
It is an example of a Johnson solid. It is the only Johnson solid that can tile three-dimensional space. [1] [2] Construction and its naming.
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