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If a plane intersects a solid (a 3-dimensional object), then the region common to the plane and the solid is called a cross-section of the solid. [1] A plane containing a cross-section of the solid may be referred to as a cutting plane. The shape of the cross-section of a solid may depend upon the orientation of the cutting plane to the solid ...
The mathematics portal is a good "way in" to mathematics articles on Wikipedia. If you are in doubt, ask at the mathematics reference desk. No one on Wikipedia is going to do your math homework for you, but if you ask the right question they might point you to some information that will enable you to do it for yourself.
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 ...
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations.This means that, compared to elementary Euclidean geometry, projective geometry has a different setting (projective space) and a selective set of basic geometric concepts.
Vicsek fractal (5th iteration of cross form) In mathematics the Vicsek fractal, also known as Vicsek snowflake or box fractal, [1] [2] is a fractal arising from a construction similar to that of the Sierpiński carpet, proposed by Tamás Vicsek. It has applications including as compact antennas, particularly in cellular phones.
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.
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.
The name "lemniscate of Booth" for this curve dates to its study by the 19th-century mathematician James Booth. [ 2 ] The lemniscate may be defined as an algebraic curve , the zero set of the quartic polynomial ( x 2 + y 2 ) 2 − c x 2 − d y 2 {\displaystyle (x^{2}+y^{2})^{2}-cx^{2}-dy^{2}} when the parameter d is negative (or zero for the ...