Figurate Numbers
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Home > Art, Film & Photography > Figurate Numbers: Polygonal Number, Polite Number, Square Number, Centered Square Number, Triangular Number, Figurate Number, Cube
Figurate Numbers: Polygonal Number, Polite Number, Square Number, Centered Square Number, Triangular Number, Figurate Number, Cube

Figurate Numbers: Polygonal Number, Polite Number, Square Number, Centered Square Number, Triangular Number, Figurate Number, Cube


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 n...


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Product Details
  • ISBN-13: 9781155824635
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 24
  • Spine Width: 1 mm
  • Weight: 64 gr
  • ISBN-10: 1155824636
  • Publisher Date: 09 Oct 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Polygonal Number, Polite Number, Square Number, Centered Square Number, Triangular Number, Figurate Number, Cube
  • Width: 189 mm


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