figurate numbers การใช้

• Figurate numbers representing hexagons ( including six ) are called hexagonal numbers.
• Many other figurate numbers can be expressed as Ehrhart polynomials.
• Figurate numbers representing pentagons ( including five ) are called pentagonal numbers.
• Figurate numbers were a concern of Pythagorean geometry.
• There seems to be an inconsistency in the manner by which figurate numbers are defined.
• The modern study of figurate numbers goes back to Fermat, specifically the Fermat polygonal number theorem.
• Centuries before, discussion of the numbers had arisen in the context of Greeks'study of figurate numbers.
• A "'pentagonal number "'is a figurate number that extends the concept of vertex.
• Some kinds of figurate number were discussed in the 16th and 17th centuries under the name " figural number ".
• The most common use in this sense is an odd integer especially when seen as a figurate number between square numbers.
• The mathematical study of figurate numbers is said to have originated with Pythagoras, possibly based on Babylonian or Egyptian precursors.
• Generating whichever class of figurate numbers the Pythagoreans studied using Pythagorean religion, along with several other figures also called tetractys.
• I believe Figurate number describes counting of this type . talk ) 15 : 40, 9 December 2007 ( UTC)
• This isn't really dealt with in Figurate numbers . talk ) 15 : 56, 29 July 2013 ( UTC)
• The same numbers can be viewed as figurate numbers in a different way, as the centered figurate numbers generated by a pentagonal pyramid.
• The same numbers can be viewed as figurate numbers in a different way, as the centered figurate numbers generated by a pentagonal pyramid.
• In this usage the square numbers 4, 9, 16, 25 would not be considered figurate numbers when viewed as arranged in a square.
• A "'nonagonal number "'is a figurate number that extends the concept of triangular and square numbers to the nonagon ( a nine-sided polygon ).
• The generalization of this to n-1 balls and r + 1 baskets is given at Figurate number, and is equivalent to running down diagonals of Pascal's Triangle.
• Later, it became a significant topic for Euler, who gave an explicit formula for all triangular numbers that are also perfect squares, among many other discoveries relating to figurate numbers.