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This is a short list of some common mathematical shapes and figures and the formulas that describe them. == Two-dimensional shapes == ...

...ort-hand in his textbook ''Elementary Particle Physics''.<ref>G. Källén, ''Elementary Particle Physics'', (Addison-Wesley, 1964)</ref> [[Category:Eponymous geometric shapes]] ...

...zation of Distinct Element Method to tridimensional particles with complex shapes ==Related shapes== ...

In [[mathematics]] and particularly in [[elementary geometry]], a '''circumgon''' is a geometric figure which [[circumscribed c ...t is these properties that make circumgons interesting objects of study in elementary geometry. ...

...es, spheres and cones), pre-defined shapes (such as staircases), or custom shapes (such as prisms and other [[polyhedra]]).<ref>{{Cite book | author=Finney, In order to describe these shapes mathematically, each brush is made up of planes that define its boundaries. ...

[[Category:Elementary geometry]] [[Category:Geometric shapes]] ...

[[Category:Elementary geometry]] [[Category:Geometric shapes]] ...

The material is not designed for math education until the elementary years of Montessori education. In the primary levels (ages 3-6), it is used ...ferent shapes, learns their names, and learns how to discriminate from the shapes. ...

...he golden ratio. He discovered the occurrence of the golden ratio in a few elementary geometrical figures, where it had not been noticed before. The two mathemat Odom used 3-dimensional geometrical shapes in his artwork, which he examined for occurrences of the golden ratio as we ...

...e [[square]] formed by its four edge [[midpoint]]s).{{r|json|alnel}} These shapes are, by definition, simultaneously [[equidiagonal quadrilateral]]s and [[or ...This characterization motivates the midsquare quadrilateral name for these shapes.{{r|json|alnel}} A midsquare quadrilateral can be constructed from its mids ...

...fies the following relation:<ref>{{Cite book|title = 100 Great Problems of Elementary Mathematics|publisher = Dover Publications|date = 1965-06-01|location = New ==== The space of all shapes of tetrahedra ==== ...

...s are subtracted from equals, then the remainders are equal" (among planar shapes, those of the same area were called "equal").{{r|heath}} The propositions i === Curved shapes === ...

==In other geometric shapes== [[Category:Elementary geometry]] ...

...microscale in two-dimensional ('''2D''') periodic channels with arbitrary shapes. Here, we also present the details of the theory on which the mathematical For a periodic channel, the shapes of the cross-section of the periodic channel can be of an arbitrary nature; ...

Unlike most other elementary shapes, such as the [[circle]] and [[square]], there is no [[algebraic equation]] ...does not have a [[closed-form solution]] in terms of [[Elementary function|elementary functions]]. ...

...y symmetric physical theory which is also used to describe the behavior of elementary particles in the [[standard model of particle physics]]. This connection ha ...s are [[complex manifold|complex submanifold]]s of certain six-dimensional shapes called [[Calabi–Yau manifolds]], together with additional data that arise p ...

[[Category:Eponymous geometric shapes]] [[Category:Elementary mathematics]] ...

...n der Elementargeometrie'' (1895) and its translation ''Famous Problems Of Elementary Geometry'' (1897).{{r|langley|friedman}} Based on the success of ''Geometri ...s ''Geometric Exercises in Paper Folding'', he also wrote a second book, ''Elementary Solid Geometry'', published in three parts from 1906 to 1909.{{r|friedman}} ...

== Packing shapes == ...ng with <math>n</math> spheres of radius <math>r</math> is calculable with elementary geometry. The middle part of the hull is a [[cylinder]] with length <math>h ...

...igin, then the proportion of the darts landing in the intersection of both shapes is no less than the product of the proportions of the darts landing in each ...[Thomas Royen]], a retired German statistician, proved it using relatively elementary tools.<ref>{{Cite journal |last=Royen |first=Thomas |date=November 2014 |ti ...