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  2. Cross section (geometry) - Wikipedia

    en.wikipedia.org/wiki/Cross_section_(geometry)

    For instance, while all the cross-sections of a ball are disks, [2] the cross-sections of a cube depend on how the cutting plane is related to the cube. If the cutting plane is perpendicular to a line joining the centers of two opposite faces of the cube, the cross-section will be a square, however, if the cutting plane is perpendicular to a ...

  3. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    1. A cone and a cylinder have radius r and height h. 2. The volume ratio is maintained when the height is scaled to h' = r √ π. 3. Decompose it into thin slices. 4. Using Cavalieri's principle, reshape each slice into a square of the same area. 5. The pyramid is replicated twice. 6. Combining them into a cube shows that the volume ratio is 1:3.

  4. Borromean rings - Wikipedia

    en.wikipedia.org/wiki/Borromean_rings

    In the tables of knots and links in Dale Rolfsen's 1976 book Knots and Links, extending earlier listings in the 1920s by Alexander and Briggs, the Borromean rings were given the Alexander–Briggs notation "6 3 2", meaning that this is the second of three 6-crossing 3-component links to be listed.

  5. Multiview orthographic projection - Wikipedia

    en.wikipedia.org/wiki/Multiview_orthographic...

    A section, or cross-section, is a view of a 3-dimensional object from the position of a plane through the object. A section is a common method of depicting the internal arrangement of a 3-dimensional object in two dimensions. It is often used in technical drawing and is traditionally crosshatched. The style of crosshatching often indicates the ...

  6. Section (fiber bundle) - Wikipedia

    en.wikipedia.org/wiki/Section_(fiber_bundle)

    Sections are studied in homotopy theory and algebraic topology, where one of the main goals is to account for the existence or non-existence of global sections. An obstruction denies the existence of global sections since the space is too "twisted". More precisely, obstructions "obstruct" the possibility of extending a local section to a global ...

  7. No. 11 Iowa State suffers first loss of season, falling 23-22 ...

    www.aol.com/sports/no-11-iowa-state-loses...

    No. 17 Kansas State (7-2, 4-2) drops to fourth place after the Wildcats' 24-19 defeat to Houston. The Red Raiders drove 71 yards in 12 plays, taking 1:41 off the clock, for the go-ahead score.

  8. 17 Easy & Cozy Breakfasts for Winter - AOL

    www.aol.com/17-easy-cozy-breakfasts-winter...

    Make a big batch of these easy 3-ingredient crepes to stash in your freezer so you always have a healthy breakfast on hand. A dollop of ricotta adds protein to a store-bought crepe, while the ...

  9. Menger sponge - Wikipedia

    en.wikipedia.org/wiki/Menger_sponge

    The cross-section of the sponge through its centroid and perpendicular to a space diagonal is a regular hexagon punctured with hexagrams arranged in six-fold symmetry. [8] The number of these hexagrams, in descending size, is given by the following recurrence relation : a n = 9 a n − 1 − 12 a n − 2 {\displaystyle a_{n}=9a_{n-1}-12a_{n-2 ...

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