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  2. Mathematical beauty - Wikipedia

    en.wikipedia.org/wiki/Mathematical_beauty

    In a general Math Circle lesson, students use pattern finding, observation, and exploration to make their own mathematical discoveries. For example, mathematical beauty arises in a Math Circle activity on symmetry designed for 2nd and 3rd graders, where students create their own snowflakes by folding a square piece of paper and cutting out ...

  3. Octagon house - Wikipedia

    en.wikipedia.org/wiki/Octagon_house

    The central spiral stair is compact, but leaves one side of the house without direct access to the landings, so there are bedrooms only accessible through another bedroom - in the worst case, through two other bedrooms. Fowler's own house had external staircases and the verandas were used for circulation and access to the rooms. [citation needed]

  4. Stairs - Wikipedia

    en.wikipedia.org/wiki/Stairs

    A staircase or stairway is one or more flights of stairs leading from one floor to another, and includes landings, newel posts, handrails, balustrades, and additional parts. [4] In buildings, stairs is a term applied to a complete flight of steps between two floors. A stair flight is a run of stairs or steps

  5. Bramante Staircase - Wikipedia

    en.wikipedia.org/wiki/Bramante_Staircase

    The modern 'Bramante' spiral stairs of the Vatican Museums, designed by Giuseppe Momo in 1932 The modern double helix staircase, also in the Pio-Clementine Museum, and commonly referred to as the "Bramante Staircase", was designed by Giuseppe Momo, sculpted by Antonio Maraini and realized by the Ferdinando Marinelli Artistic Foundry in 1932 and was inspired by the original Bramante Staircase.

  6. Mathematics and architecture - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_architecture

    In the Renaissance, an architect like Leon Battista Alberti was expected to be knowledgeable in many disciplines, including arithmetic and geometry.. The architects Michael Ostwald and Kim Williams, considering the relationships between architecture and mathematics, note that the fields as commonly understood might seem to be only weakly connected, since architecture is a profession concerned ...

  7. Penrose stairs - Wikipedia

    en.wikipedia.org/wiki/Penrose_stairs

    working on the design of a new picture, which featured a flight of stairs which only ever ascended or descended, depending on how you saw it. [The stairs] form a closed, circular construction, rather like a snake biting its own tail. And yet they can be drawn in correct perspective: each step higher (or lower) than the previous one.

  8. 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 ...

  9. Staircase - Wikipedia

    en.wikipedia.org/wiki/Staircase

    Good lighting is important in a staircase so users see where they are going and to prevent falls. [6] There is often a window on the wall to let in daylight.In many cases, indoor stairs are placed far inside the building structure, and it is often not easy to get access to a wall on the outside where it would be natural to have a regular window for letting daylight in.

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