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  2. Cable railing - Wikipedia

    en.wikipedia.org/wiki/Cable_railing

    The old UBC (Uniform Building Code) and newer ICC (IBC and IRC) [4] codes state that a 4sphere shall not pass through any portion of a barrier on a guardrail. In a horizontal or vertical cable rail, the cables, once tensioned must be rigid enough to prevent a 4-inch sphere passing through it.

  3. Deck railing - Wikipedia

    en.wikipedia.org/wiki/Deck_railing

    Mountain laurel handrail, glass baluster systems, metal baluster systems, and composite railing systems all install in a similar manner. The differences is in the type of baluster installed. All four of these deck railings can be built using pressure treated lumber, another wood like cedar, or composite lumber to provide the structure.

  4. Guard rail - Wikipedia

    en.wikipedia.org/wiki/Guard_rail

    Building codes also require that no opening in a guard be of a size such that a 4-inch (10 cm) sphere may pass. There are three exceptions according to the 2003 International Building Code Section 1012.3 which allow openings to not exceed 8 or 21 inches (20 or 53 cm) depending on occupancy groups or special areas.

  5. Spherical law of cosines - Wikipedia

    en.wikipedia.org/wiki/Spherical_law_of_cosines

    Given a unit sphere, a "spherical triangle" on the surface of the sphere is defined by the great circles connecting three points u, v, and w on the sphere (shown at right). If the lengths of these three sides are a (from u to v ), b (from u to w ), and c (from v to w ), and the angle of the corner opposite c is C , then the (first) spherical ...

  6. Mazur manifold - Wikipedia

    en.wikipedia.org/wiki/Mazur_manifold

    For example, the Poincaré homology sphere does not bound such a 4-manifold because the Rochlin invariant provides an obstruction. The h-cobordism Theorem implies that, at least in dimensions n ≥ 6 {\displaystyle n\geq 6} there is a unique contractible n {\displaystyle n} -manifold with simply-connected boundary, where uniqueness is up to ...

  7. Do You Follow the 4% Rule for Retirement Income? You May Want ...

    www.aol.com/4-rule-retirement-income-may...

    The 4% rule has long provided guidance to retirees on how to maintain a safe withdrawal rate from retirement accounts. But with today’s low bond yields and stock market volatility, this once ...