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{{Short description|Polyhedron with 7 faces}} {{Infobox polyhedron ...

...formal everywhere except for the four singularities at the vertices of the polyhedron. Because of the nature of polyhedra, this map projection can be [[Tessellat Since there is no elementary expression for these functions, Lee suggests using the 28th-degree [[Taylor ...

...e defined as the [[convex hull]] of a finite set of ideal points. An ideal polyhedron has ideal polygons as its [[Face (geometry)|faces]], meeting along lines of ...d sphere]]. Using [[linear programming]], it is possible to test whether a polyhedron has an ideal version, in [[polynomial time]]. ...

...t ''y'' in ''S''(''K,ε''), or assert that ''y'' not in ''K.'' The proof is elementary and uses a single call to the WMEM oracle.<ref name=":0" />{{Rp|page=108}} ...entation complexity ([[facet complexity]] or [[vertex complexity]]) of the polyhedron:<ref name=":0" />{{Rp|page=|location=Sec. 6.3}} ...

...can be straightforwardly generalized as Minkowski sums of a ball with a [[polyhedron]]. The resulting shape is called a spheropolyhedron.<ref name="PL2005">{{ci [[Category:Elementary shapes]] ...

...the line segment is either an [[edge (geometry)|edge]] (of that polygon or polyhedron) if they are adjacent vertices, or a [[diagonal]]. When the end points both In addition to appearing as the edges and [[diagonal]]s of [[polygon]]s and [[polyhedron|polyhedra]], line segments also appear in numerous other locations relative ...

In geometry, a [[convex polyhedron]] whose faces are [[regular polygon]]s is known as a ''[[Johnson solid]]'', Some of the Johnson solids may be categorized as [[elementary polyhedra]], meaning they cannot be separated by a plane to create two smal ...

...31–1999), was a theoretical physicist, specializing in the interactions of elementary particles at high energies. Fredrik Zachariasen was a physics professor at ...wever, both glasses and crystals have the same building blocks, ''i.e.'' [[polyhedron|polyhedra]] consisting of [[Ion#Anions and cations|cations and anions]] bou ...

* [[Dual polyhedron]] ...uthor = Johnson RA | year = 1960 | title = Advanced Euclidean Geometry: An Elementary treatise on the geometry of the Triangle and the Circle | publisher = Dover ...

...rogramming is interpreted as tracing a path along the vertices of a convex polyhedron. Oriented matroid theory studies the combinatorial invariants that are reve | chapter=The elementary vectors of a subspace of <math>R^N</math> (1967) ...

...a more [[geometric]] proof than using the [[Pythagorean theorem]] alone. [[elementary algebra|Algebraic]] manipulations (in particular the [[binomial theorem]]) ...st2=T |year=2011 |title=Law of Cosines Generalised for any Polygon and any Polyhedron |journal=The Mathematical Gazette |volume=95 |number=533 |pages=240–243 |do ...

...d Fukuda presented an algorithm which finds the&nbsp;''v'' vertices of a [[polyhedron]] defined by a nondegenerate system of&nbsp;''n'' [[linear inequality|linea |chapter=The elementary vectors of a subspace of <math>R^N</math> (1967) ...

* [[Dodecahedron]], a polyhedron whose regular form is composed of 12 pentagonal faces [[Category:Elementary shapes]] ...

...solving [[polynomial]] equations, became a fruitful way of categorizing [[elementary particle]]s—the building blocks of matter. Similarly, the study of [[knot t ...he paper is unfolded, a symmetrical design reveals itself. In a day to day elementary school mathematics class, symmetry can be presented as such in an artistic ...

...tangent]] to the curve at a [[point at infinity]].<ref>{{citation|title=An elementary treatise on the differential calculus|chapter=Asymptotes|first=Benjamin|las ...tic operations (addition, subtraction, multiplication, division, etc.) and elementary functions (exp, log, sin, cos, etc.). By applying the [[chain rule]] repeat ...

...ective]], the analysis of [[symmetry]], and mathematical objects such as [[polyhedron|polyhedra]] and the [[Möbius strip]]. [[Magnus Wenninger]] creates colourfu ...|title=The Geometry of Piero della Francesca |quote=In Book I, after some elementary constructions to introduce the idea of the apparent size of an object being ...

* 1948&nbsp;– [[Atle Selberg]] and [[Paul Erdős]] prove independently in an elementary way the [[prime number theorem]]. ...&nbsp;– [[H. S. M. Coxeter]] et al. publish the complete list of [[uniform polyhedron]]. ...