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Topic: Centered octagonal number


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In the News (Mon 7 Jul 08)

  
  Centered octagonal number - Wikipedia, the free encyclopedia
A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers.
All centered octagonal numbers are odd, and in base 10 one can notice the one's digits follow the pattern 1-9-5-9-1.
Calculating Ramanujan's tau function on a centered octagonal number yields an odd number, whereas for any other number the function yields an even number.
en.wikipedia.org /wiki/Centered_octagonal_number   (158 words)

  
 Untitled Document
st triangular number is represented by the white triangles, the nth triangular number is represented by the fl triangles, and the total number of triangles is the square number
The following numbers cannot be represented using fewer than five distinct squares: 55, 88, 103, 132, 172, 176, 192, 240, 268, 288, 304, 368, 384, 432, 448, 496, 512, and 752, together with all numbers obtained by multiplying these numbers by a power of 4.
The numbers that are not the difference of two squares are 2, 6, 10, 14, 18,...
users.skynet.be /fa956617/math/topics/SquareNumber.htm   (1976 words)

  
 NPS Form 10-900-a
Pomeroy Hall, a chain of three red common bond brick structures, the front main block being built in 1829, the second in 1858, and the third in the rear in 1997, is oriented with its narrow front façade facing Main Street to the north.
The rear addition is three stories high, a similar mass to the primary block, however its fenestration divides it into five bays on the east and west sides, with one window centered on each floor of the rear.
The rear façade is solid except for the center, which has a door on the ground level and corresponding windows on the second and third floors.
www.uvm.edu /~vhnet/uvmgreen/pomeroy.html   (1116 words)

  
 RPGnet: Review of Nautilus (Printable Version)
Each of these shows the number large and is color coded with one of the five module types.
(You'll almost buy them with the max, which is 3 or 4 depending on number of players.) There are two types of habitation modules, with their main difference being how they hook into the underwater city (either via the orthagonal or diagonal airlocks).
You can place any number of modules on the board at once for a single cost equal to the deepest water depth covered by a part of a placed module module (from 1 to 4).
www.rpg.net /reviews/view-printable.phtml?reviewNumber=10450   (3347 words)

  
 Table of contents
Apex of octagonal- number pyramid, with strings of twin prime centers
Patterns in the gaps between the primes of the triangular- number pyramid column at 7.
The Euler Pillar centered in the square- to- square number pyramid
www.recoveredscience.com /primes1content.htm   (319 words)

  
 Saudi Aramco World : The Dome of the Rock   (Site not responding. Last check: 2007-10-21)
The center of Muslim power shifted, through the centuries, from one great capital to the next: from Madinah to Umayyad Damascus to Abbasid Baghdad to Mamluk Cairo and to Ottoman Constantinople.
The octagonal plan of the Dome of the Rock may not have been accidental.
Cyril Glassé, in his Concise Encyclopedia of Islam, points out that "the octagon is a step in the mathematical series going from square, symbolizing the fixity of earthly manifestation, to circle, the natural symbol for the perfection of heaven....
www.saudiaramcoworld.com /issue/199605/the.dome.of.the.rock.htm   (1180 words)

  
 The On-Line Encyclopedia of Integer Sequences
The number system may be represented by linearly stringing together all the square domains.
The number of the domain is given by r.
The sequence is the first prime number in the first octade of each square domain.
www.research.att.com /~njas/sequences/A111693   (228 words)

  
 Table of Figurate Numbers, Sorted, Through 10,000   (Site not responding. Last check: 2007-10-21)
Hendecagonal Number, or 11-gonal number, Hen(16), hence the Heterogeneous Jonathan Number Hen(S(4))
Hendecagonal Number, or 11-gonal number, Hen(25), hence the Heterogeneous Jonathan Number Hen(S(5))
the 18-gonal Number 18gon(25), hence the Heterogeneous Jonathan Number 18gon(S(5))
www.magicdragon.com /fig.html   (10985 words)

  
 Table of Polytope Numbers, Sorted, Through 1,000,000   (Site not responding. Last check: 2007-10-21)
It is also the first of an infinite number of multidimensional Polytope Numbers such as the Pentatope (4-Simplex or Hypertetrahedron), Hyperoctahedron, 24-cell, Hyperdodecahedron, and Hypericosahedron -- these Polytope numbers are the subject of recent papers by this author, see References.
Octagonal Number O(4), also the Pentagonal Pyramidal Number PPyr(4), believed to be the first nontrivial 20-D Hyperoctahedron (20-Cross Polytope) Number or 20-Cross(2)
Hendecagonal Number, or 11-gonal number, Hen(26); also the Heptagonal Number Hep(36), note that the two digits of the index (36) are also the first and last digit of the Heptagonal Number (base 10)
www.magicdragon.com /poly.html   (9059 words)

  
 Articles index started with ce
Center for Advanced Studies on Puerto Rico and the Caribbean
Center for the Application of Molecular Biology to International Agriculture
Center for the Study of Carbon Dioxide and Global Change
www.kiwipedia.com /ce-index.html   (162 words)

  
 Medina's Furniture & Woodworking Company   (Site not responding. Last check: 2007-10-21)
As you may note, this chair is built to cradle the body and provide full lumbar support while being centered close to the ground for secure foot placement.
MIXED HARDWOOD FOLD-UP This type of table can be folded quite easily and can be taken along to a picnic venture to place your snacks on etc.
This octagonal table can be made in different heights.
www.medinasfurniture.com /hardwood.html   (416 words)

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