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  2. File:Basic staple diagram (named parts).svg - Wikipedia

    en.wikipedia.org/wiki/File:Basic_staple_diagram...

    Basic abstract diagram of a staple, with parts labelled. Shown in isometric-projection pseudo-perspective (not true perspective view). Date: 2010: Source: Self-made SVG file, based loosely on File:Staplediagram.JPG. Converted from the following PostScript vector source code:

  3. Arrangement of lines - Wikipedia

    en.wikipedia.org/wiki/Arrangement_of_lines

    In geometry, an arrangement of lines is the subdivision of the Euclidean plane formed by a finite set of lines. An arrangement consists of bounded and unbounded convex polygons, the cells of the arrangement, line segments and rays, the edges of the arrangement, and points where two or more lines cross, the vertices of the arrangement.

  4. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

    First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series ⁠ 1 / 2 ⁠ + ⁠ 1 / 4 ⁠ + ⁠ 1 / 8 ⁠ + ⁠ 1 / 16 ⁠ + ··· is an elementary example of a geometric series that converges absolutely.

  5. Cross-polytope - Wikipedia

    en.wikipedia.org/wiki/Cross-polytope

    In geometry, a cross-polytope, [1] hyperoctahedron, orthoplex, [2] staurotope, [3] or cocube is a regular, convex polytope that exists in n-dimensional Euclidean space.A 2-dimensional cross-polytope is a square, a 3-dimensional cross-polytope is a regular octahedron, and a 4-dimensional cross-polytope is a 16-cell.

  6. Set (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Set_(mathematics)

    A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...

  7. Octahedron - Wikipedia

    en.wikipedia.org/wiki/Octahedron

    If this diagonal is oriented vertically with a height of 1, then the first five slices above occur at heights r, ⁠ 3 / 8 ⁠, ⁠ 1 / 2 ⁠, ⁠ 5 / 8 ⁠, and s, where r is any number in the range 0 < r ≤ ⁠ 1 / 4 ⁠, and s is any number in the range ⁠ 3 / 4 ⁠ ≤ s < 1.

  8. Outline of geometry - Wikipedia

    en.wikipedia.org/wiki/Outline_of_geometry

    Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Geometry is one of the oldest mathematical sciences.

  9. Synergetics (Fuller) - Wikipedia

    en.wikipedia.org/wiki/Synergetics_(Fuller)

    1/8 space-filler, 2As + 1B Tetrahedron 1 self dual, unit volume Coupler 1 space filling oblate octa Cuboctahedron 2.5 edges 1/2, vol. = 1/8 of 20 Duo-Tet Cube 3 24 MITEs Octahedron 4 dual of cube, spacefills w/ tet Rhombic Triacontahedron 5 radius = ~0.9994, vol. = 120 Ts Rhombic Triacontahedron 5+ radius = 1, vol. = 120 Es Rhombic Dodecahedron 6

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