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56 (number)

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Ordinal43

43

Galith
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Divisors1, 2, 4, 7, 8, 14, 28, 56
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56 (fifty-six) is the natural number following 55 and preceding 57.

Mathematics

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Regular 56-gon, associated by the Pythagoreans with Typhon

56 is:

Plutarch[7] states that the Pythagoreans associated a polygon of 56 sides with Typhon and that they associated certain polygons of smaller numbers of sides with other figures in Greek mythology. While it is impossible to construct a perfect regular 56-sided polygon using a compass and straightedge, a close approximation has recently been discovered which it is claimed[8] might have been used at Stonehenge, and it is constructible if the use of an angle trisector is allowed since 56 = 23 × 7.[9]

Organizations

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Cosmogony

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References

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  1. ^ Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A000078 (Tetranacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A024916 (sum_{k=1..n} sigma(k) where sigma(n) = sum of divisors of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A059756 (Erdős-Woods numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A255011". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-09.
  7. ^ Plutarch, Moralia V: 30
  8. ^ Pegs and Ropes: Geometry at Stonehenge
  9. ^ "Constructibility of Regular Polygons" (PDF). Archived from the original (PDF) on 2015-07-14. Retrieved 2015-02-19.
  10. ^ Heaven by Lisa Miller, (2010), ISBN 978-0-06-055475-0 - page 13.