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The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body. Vertex, a 0-dimensional element; Edge, a 1-dimensional element; Face, a 2-dimensional element; Cell, a 3-dimensional element; Hypercell or Teron, a 4-dimensional element; Facet, an (n-1)-dimensional element
major void SRSS1 Void 3 (Sculptor Void) 6 3 h 56 m −20° 11′ 56.5 32.0 Eridanus: major void: 7 3 h 17 m −11° 40′ 77.2 25.5 Eridanus: major void: 8 23 h 20 m −12° 32′ 83.9 27.8 Aquarius: major void: 9 3 h 06 m −13° 47′ 114.6 39.0 Eridanus: major void: 10 0 h 26 m −9° 17′ 104.7 34.8 Cetus: major void: 11 0 h 21 m −29 ...
Star polygon – there are multiple types of stars Pentagram - star polygon with 5 sides; Hexagram – star polygon with 6 sides Star of David (example) Heptagram – star polygon with 7 sides; Octagram – star polygon with 8 sides Star of Lakshmi (example) Enneagram - star polygon with 9 sides; Decagram - star polygon with 10 sides
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
This is a list of volume formulas of basic shapes: [4]: 405–406 Cone – , where is the base's radius; Cube – , where is the side's length;; Cuboid – , where , , and are the sides' length;
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Geometry is one of the oldest mathematical sciences.
List of mathematical topics; List of statistical topics; List of mathematical functions; List of mathematical theorems; List of mathematical proofs; List of matrices
The first tables of trigonometric functions known to be made were by Hipparchus (c.190 – c.120 BCE) and Menelaus (c.70–140 CE), but both have been lost. Along with the surviving table of Ptolemy (c. 90 – c.168 CE), they were all tables of chords and not of half-chords, that is, the sine function. [1]
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