Octahedral Number
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. An octahedral number is a figurate number that represents an octahedron, or two square pyramids placed together, one upside-down underneath the other. Sir Frederick Pollock conjectured in 1850 that every number is the sum of at most 7 octahedral numbers (Dickson 2005, p. 23). The triangular numbers can be generalized in various ways. As used here, and in a number of other places, the term figurate number is meant to be broadly inclusive. In historical works about…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. An octahedral number is a figurate number that represents an octahedron, or two square pyramids placed together, one upside-down underneath the other. Sir Frederick Pollock conjectured in 1850 that every number is the sum of at most 7 octahedral numbers (Dickson 2005, p. 23). The triangular numbers can be generalized in various ways. As used here, and in a number of other places, the term figurate number is meant to be broadly inclusive. In historical works about Greek mathematics the preferred term is figured number. For example A history of Greek Mathematics by T. Heath and Greek Mathematical Philosophy by E.A. Maziarz.