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Cannonball problem

In the mathematics of figurate numbers, the cannonball problem asks which numbers are both square and square pyramidal. The problem can be stated as: given a square arrangement of cannonballs, for what size squares can these cannonballs also be arranged into a square pyramid? Equivalently, which squares can be represented as the sum of consecutive…

Applications, Formulation as a Diophantine equation & Solution

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Formulation as a Diophantine equation

Solution

Applications

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Cannonball problem

Nodes21
Edges20
Triples16
Avg. degree1.9
Density0.095238
Components1

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Cannonball problem

Top relations

related to Formulation as a Diophantine equation · 6
Cannonball problem → America, Diophantine, Lucas, Sir Walter Raleigh, Thomas Harriot, When
related to Related problems · 4
Cannonball problem → Nth, Similarly, That, This
has application · 3
Cannonball problem → Although, Leech, The
related to External links · 3
Cannonball problem → Eric, MathWorld, Weisstein

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Important terminology

square problem cannonball pyramidal cannonballs squares number numbers solution 24 tetrahedral pyramid also 70 arranged diophantine equation triangular using tile

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cannonball problemhas applicationThe0.60section
Cannonball problemhas applicationLeech0.60section
Cannonball problemhas applicationAlthough0.60section
Cannonball problemrelated to External linksWeisstein0.60section
Cannonball problemrelated to External linksEric0.60section
Cannonball problemrelated to External linksMathWorld0.60section
Cannonball problemrelated to Formulation as a Diophantine equationWhen0.60section
Cannonball problemrelated to Formulation as a Diophantine equationThomas Harriot0.60section
Cannonball problemrelated to Formulation as a Diophantine equationSir Walter Raleigh0.60section
Cannonball problemrelated to Formulation as a Diophantine equationAmerica0.60section
Cannonball problemrelated to Formulation as a Diophantine equationLucas0.60section
Cannonball problemrelated to Formulation as a Diophantine equationDiophantine0.60section

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