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  2. Van Arkel–Ketelaar triangle - Wikipedia

    en.wikipedia.org/wiki/Van_Arkel–Ketelaar_triangle

    Rather, bond types are interconnected and different compounds have varying degrees of different bonding character (for example, covalent bonds with significant ionic character are called polar covalent bonds). Six years later, in 1947, Ketelaar developed van Arkel's idea by adding more compounds and placing bonds on different sides of the triangle.

  3. Composite polyhedron - Wikipedia

    en.wikipedia.org/wiki/Composite_polyhedron

    One of the Johnson solids, elongated square pyramid, is composite. It can be constructed by attaching equilateral square pyramid and a cube. Any composite polyhedron can be constructed by attaching two or more non-composite polyhedra. Alternatively, it can be defined as a convex polyhedron that can separated into two or more non-composite ...

  4. Bonding in solids - Wikipedia

    en.wikipedia.org/wiki/Bonding_in_solids

    Intermediate kinds of bonding: A solid with extensive hydrogen bonding will be considered a molecular solid, yet strong hydrogen bonds can have a significant degree of covalent character. As noted above, covalent and ionic bonds form a continuum between shared and transferred electrons; covalent and weak bonds form a continuum between shared ...

  5. Angularis nigra - Wikipedia

    en.wikipedia.org/wiki/Angularis_Nigra

    Previously, lack of proper terminology to report this condition was an issue, often colloquially termed the "black triangle"; angularis nigra has been proposed as a term to describe the appearance. There are several risk factors leading to the development of black triangles. Papillae dimension can be changed due to any of the following reasons: 1.

  6. Modern triangle geometry - Wikipedia

    en.wikipedia.org/wiki/Modern_triangle_geometry

    In mathematics, modern triangle geometry, or new triangle geometry, is the body of knowledge relating to the properties of a triangle discovered and developed roughly since the beginning of the last quarter of the nineteenth century. Triangles and their properties were the subject of investigation since at least the time of Euclid.

  7. The Secrets of Triangles - Wikipedia

    en.wikipedia.org/wiki/The_Secrets_of_Triangles

    The chapter on areas includes both trigonometric formulas and Heron's formula for computing the area of a triangle from its side lengths, and the chapter on inequalities includes the ErdÅ‘s–Mordell inequality on sums of distances from the sides of a triangle and Weitzenböck's inequality relating the area of a triangle to that of squares on ...

  8. Borromean rings - Wikipedia

    en.wikipedia.org/wiki/Borromean_rings

    The vertical dotted black midline is a Conway sphere separating the diagram into 2-tangles. In knot theory, the Borromean rings are a simple example of a Brunnian link, a link that cannot be separated but that falls apart into separate unknotted loops as soon as any one of its components is removed. There are infinitely many Brunnian links, and ...

  9. Triangulated category - Wikipedia

    en.wikipedia.org/wiki/Triangulated_category

    In mathematics, a triangulated category is a category with the additional structure of a "translation functor" and a class of "exact triangles". Prominent examples are the derived category of an abelian category, as well as the stable homotopy category.