2011, ISBN: 1155824636

[EAN: 9781155824635], Neubuch, [PU: Reference Series Books Llc Nov 2011], CRAFTS & HOBBIES / POTTERY CERAMICS, This item is printed on demand - Print on Demand Titel. Neuware - Source: Wi… Mehr…

[EAN: 9781155824635], Neubuch, [PU: Reference Series Books Llc Nov 2011], CRAFTS & HOBBIES / POTTERY CERAMICS, This item is printed on demand - Print on Demand Titel. Neuware - Source: Wikipedia. Pages: 22. Chapters: Polygonal number, Polite number, Square number, Centered square number, Triangular number, Figurate number, Cube, Centered polygonal number, Square triangular number, Pentagonal number, Octahedral number, Square pyramidal number, Centered hexagonal number, Fermat polygonal number theorem, Pronic number, Tetrahedral number, Star number, Heptagonal number, Centered triangular number, Pentatope number, Gnomon, Centered nonagonal number, Centered decagonal number, Pentagonal pyramidal number, Centered heptagonal number, Centered octagonal number, Dodecagonal number, Pollock octahedral numbers conjecture, Centered pentagonal number, Centered cube number, Hectagonal number, Heptagonal pyramidal number, Hexagonal pyramidal number, Myriagonal number. Excerpt: In mathematics, a polygonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. The dots were thought of as alphas (units). These are one type of 2-dimensional figurate numbers. The number 10, for example, can be arranged as a triangle (see triangular number): But 10 cannot be arranged as a square. The number 9, on the other hand, can be (see square number): Some numbers, like 36, can be arranged both as a square and as a triangle (see square triangular number): By convention, 1 is the first polygonal number for any number of sides. The rule for enlarging the polygon to the next size is to extend two adjacent arms by one point and to then add the required extra sides between those points. In the following diagrams, each extra layer is shown as in red. Triangular numbers Square numbers Polygons with higher numbers of sides, such as pentagons and hexagons, can also be constructed according to this rule, although the dots will no longer form a perfectly regular lattice like above. Pentagonal numbers Hexagonal numbers If s is the number of sides in a polygon, the formula for the n s-gonal number P(s,n) is The n s-gonal number is also related to the triangular numbers Tn as follows: Thus: For a given s-gonal number P(s,n) = x, one can find n by The On-Line Encyclopedia of Integer Sequences eschews terms using Greek prefixes (e.g., 'octagonal') in favor of terms using numerals (i.e., '8-gonal'). Some numbers, such as 36 which is both square and triangular, fall into two polygonal sets. The problem of determining, given two such sets, all numbers that belong to both can be solved by reducing the problem to Pell's equation. The simplest example of this is the sequence of square triangular numbers. The following table summarizes the set of s-gonal t-gonal numbers for small values of s and t. In some cases, such as s=10 and t=4, there are no numbers in both sets other than 1. The problem of finding numbers that belong to three polygon 36 pp. Englisch<

2010, ISBN: 1155824636

[EAN: 9781155824635], Neubuch, [PU: Bertrams Print On Demand], CRAFTS & HOBBIES / POTTERY CERAMICS, - Source: Wikipedia. Pages: 22. Chapters: Polygonal number, Polite number, Square numbe… Mehr…

[EAN: 9781155824635], Neubuch, [PU: Bertrams Print On Demand], CRAFTS & HOBBIES / POTTERY CERAMICS, - Source: Wikipedia. Pages: 22. Chapters: Polygonal number, Polite number, Square number, Centered square number, Triangular number, Figurate number, Cube, Centered polygonal number, Square triangular number, Pentagonal number, Octahedral number, Square pyramidal number, Centered hexagonal number, Fermat polygonal number theorem, Pronic number, Tetrahedral number, Star number, Heptagonal number, Centered triangular number, Pentatope number, Gnomon, Centered nonagonal number, Centered decagonal number, Pentagonal pyramidal number, Centered heptagonal number, Centered octagonal number, Dodecagonal number, Pollock octahedral numbers conjecture, Centered pentagonal number, Centered cube number, Hectagonal number, Heptagonal pyramidal number, Hexagonal pyramidal number, Myriagonal number. Excerpt: In mathematics, a polygonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. The dots were thought of as alphas (units). These are one type of 2-dimensional figurate numbers. The number 10, for example, can be arranged as a triangle (see triangular number): But 10 cannot be arranged as a square. The number 9, on the other hand, can be (see square number): Some numbers, like 36, can be arranged both as a square and as a triangle (see square triangular number): By convention, 1 is the first polygonal number for any number of sides. The rule for enlarging the polygon to the next size is to extend two adjacent arms by one point and to then add the required extra sides between those points. In the following diagrams, each extra layer is shown as in red. Triangular numbers Square numbers Polygons with higher numbers of sides, such as pentagons and hexagons, can also be constructed according to this rule, although the dots will no longer form a perfectly regular lattice like above. Pentagonal numbers Hexagonal numbers If s is the number of sides in a polygon, the formula for the n s-gonal number P(s,n) is The n s-gonal number is also related to the triangular numbers Tn as follows: Thus: For a given s-gonal number P(s,n) = x, one can find n by The On-Line Encyclopedia of Integer Sequences eschews terms using Greek prefixes (e.g., octagonal) in favor of terms using numerals (i.e., 8-gonal). Some numbers, such as 36 which is both square and triangular, fall into two polygonal sets. The problem of determining, given two such sets, all numbers that belong to both can be solved by reducing the problem to Pell's equation. The simplest example of this is the sequence of square triangular numbers. The following table summarizes the set of s-gonal t-gonal numbers for small values of s and t. In some cases, such as s=10 and t=4, there are no numbers in both sets other than 1. The problem of finding numbers that belong to three polygon<

ISBN: 9781155824635

Source Wikipedia, Created by LLC Books, Paperback, English-language edition, Pub by General Books LLC Books, , Figurate-Numbers~~Source-Wikipedia, 999999999, Figurate Numbers: Polygonal N… Mehr…

Source Wikipedia, Created by LLC Books, Paperback, English-language edition, Pub by General Books LLC Books, , Figurate-Numbers~~Source-Wikipedia, 999999999, Figurate Numbers: Polygonal Number, Polite Number, Square Number, Centered Square Number, Triangular Number, Figurate Number, Cu, Source Wikipedia, Created by LLC Books, 1155824636, General Books LLC, , , , , General Books LLC<

ISBN: 1155824636

Kartoniert / Broschiert CRAFTS & HOBBIES / Pottery & Ceramics, mit Schutzumschlag 11, [PU:Books LLC, Reference Series]

ISBN: 1155824636

Kartoniert / Broschiert CRAFTS & HOBBIES / Pottery & Ceramics, with dust cover neu, [PU:Books LLC, Reference Series]