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  2. Mandelbulb - Wikipedia

    en.wikipedia.org/wiki/Mandelbulb

    A 4K UHD 3D Mandelbulb video A ray-marched image of the 3D Mandelbulb for the iteration v ↦ v 8 + c. The Mandelbulb is a three-dimensional fractal, constructed for the first time in 1997 by Jules Ruis and further developed in 2009 by Daniel White and Paul Nylander using spherical coordinates.

  3. 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 ...

  4. Barn (unit) - Wikipedia

    en.wikipedia.org/wiki/Barn_(unit)

    As a simplified example, if a beamline runs for 8 hours (28 800 seconds) at an instantaneous luminosity of 300 × 10 30 cm −2 ⋅s −1 = 300 μb −1 ⋅s −1, then it will gather data totaling an integrated luminosity of 8 640 000 μb −1 = 8.64 pb −1 = 0.008 64 fb −1 during this period. If this is multiplied by the cross-section ...

  5. Section (fiber bundle) - Wikipedia

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

    In the mathematical field of topology, a section (or cross section) [1] of a fiber bundle is a continuous right inverse of the projection function. In other words, if E {\displaystyle E} is a fiber bundle over a base space , B {\displaystyle B} :

  6. Borromean rings - Wikipedia

    en.wikipedia.org/wiki/Borromean_rings

    2", meaning that this is the second of three 6-crossing 3-component links to be listed. [6] [7] The Conway notation for the Borromean rings, ".1", is an abbreviated description of the standard link diagram for this link. [8]

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  8. 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.

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