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  2. Stairs - Wikipedia

    en.wikipedia.org/wiki/Stairs

    It is a maintenance stairway for the water pipeline to the old Flørli hydro plant. The hydro plant is now closed down, and the stairs are open to the public. The stairway is claimed to be the longest wooden stairway in the world. [51] The longest stone stairs in Japan are the 3,333-step stairs of the Shakain temple in Yatsushiro, Kumamoto. [52]

  3. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm. This diagram resembles a butterfly as in the Morpho butterfly shown for comparison, hence the name. A commutative diagram depicting the five lemma

  4. Staircase paradox - Wikipedia

    en.wikipedia.org/wiki/Staircase_paradox

    In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. [1] It consists of a sequence of "staircase" polygonal chains in a unit square , formed from horizontal and vertical line segments of decreasing length, so that these staircases converge uniformly to ...

  5. Penrose stairs - Wikipedia

    en.wikipedia.org/wiki/Penrose_stairs

    He did not realize that his figure was a continuous flight of stairs while drawing, but the process enabled him to trace his increasingly complex designs step by step. When M.C. Escher's Ascending and Descending was sent to Reutersvärd in 1961, he was impressed but didn't like the irregularities of the stairs (2 × 15 + 2 × 9).

  6. Ogee - Wikipedia

    en.wikipedia.org/wiki/Ogee

    A building's surface detailing, inside and outside, often includes decorative moulding, and these often contain ogee-shaped profiles—consisting (from low to high) of a concave arc flowing into a convex arc, with vertical ends; if the lower curve is convex and higher one concave, this is known as a Roman ogee, although frequently the terms are used interchangeably and for a variety of other ...

  7. Cantor function - Wikipedia

    en.wikipedia.org/wiki/Cantor_function

    For z = 1/3, the inverse of the function x = 2 C 1/3 (y) is the Cantor function. That is, y = y(x) is the Cantor function. In general, for any z < 1/2, C z (y) looks like the Cantor function turned on its side, with the width of the steps getting wider as z approaches zero.

  8. Commutative diagram - Wikipedia

    en.wikipedia.org/wiki/Commutative_diagram

    The commutative diagram used in the proof of the five lemma. In mathematics, and especially in category theory, a commutative diagram is a diagram such that all directed paths in the diagram with the same start and endpoints lead to the same result. [1] It is said that commutative diagrams play the role in category theory that equations play in ...

  9. Arrangement of lines - Wikipedia

    en.wikipedia.org/wiki/Arrangement_of_lines

    [1] The vertices of the arrangement are isolated points belonging to two or more lines, where those lines cross each other. [1] The boundary of a cell is the system of edges that touch it, and the boundary of an edge is the set of vertices that touch it (one vertex for a ray and two for a line segment).