A tree of primitive Pythagorean triples is a mathematical tree in which each node represents a primitive Pythagorean triple and each primitive Pythagorean...

Thus Pythagorean triples are among the oldest known solutions of a nonlinear Diophantine equation. There are 16 primitive Pythagorean triples of numbers...

formulas for generating Pythagorean triples have been developed. Euclid's, Pythagoras' and Plato's formulas for calculating triples have been described here:...

Pythagorean tree may refer to: Tree of primitive Pythagorean triples Pythagoras tree (fractal) This disambiguation page lists articles associated with...

search tree Splay tree Strahler number Tree of primitive Pythagorean triples#Alternative methods of generating the tree Unrooted binary tree Rowan Garnier;...

not in the tree. Ternary search tree Ternary binary tree Ternary heap Two infinite ternary trees containing all primitive Pythagorean triples are described...

Pythagoras tree may refer to: Tree of primitive Pythagorean triples Pythagoras tree (fractal) This disambiguation page lists articles associated with the...

matrices the three transformation matrices in the ternary tree of primitive Pythagorean triples Certain transformation matrices for rotation, shearing (both...

Pythagoras tree (fractal), a plane fractal made of squares Tree of primitive Pythagorean triples Pythagorean theorem This disambiguation page lists articles associated...

Douglas W. (July 2001), "An alternative characterisation of all primitive Pythagorean triples", Mathematical Gazette, 85: 273–275, doi:10.2307/3622017...

magic constant of n × n normal magic square and n-Queens Problem for n = 25. Also the first counterexample in the Boolean Pythagorean triples problem. 7832...

Earth's geodesy and to navigate the oceans since antiquity. Pythagorean triples are triples of integers ( a , b , c ) {\displaystyle (a,b,c)} with the property:...

first two are "primitive", and 65 is the lowest number to be the largest side of more than one such triple. 65 is the number of compositions of 11 into distinct...

sum of four consecutive primes (167 + 173 + 179 + 181), the perimeter of a Pythagorean triangle (75 + 308 + 317) and a Harshad number. Nearly all of the...

of which are given variously as between the 8th and 5th century BC, contains a list of Pythagorean triples discovered algebraically, a statement of the...

supernatural. The Pythagoreans developed a complex number philosophy: 467–468  and contributed significantly to the development of mathematical science...

is the length of the hypotenuse of a right triangle with integer sides, or in other words, the largest number in a Pythagorean triple, obtained from...

number; hypotenuse of primitive Pythagorean triangle 1026 = sum of two distinct powers of 2 (1024 + 2) 1027 = sum of the squares of the first eight primes;...

classification of finite simple groups. The Kepler conjecture. The Boolean Pythagorean triples problem. British Museum algorithm Computer-assisted proof Enumerative...

theorem Pythagorean triple Pell's equation Elliptic curve Nagell–Lutz theorem Mordell–Weil theorem Mazur's torsion theorem Congruent number Arithmetic of abelian...

Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer". In Creignou, N.; Le Berre, D. (eds.). Theory and Applications of Satisfiability Testing...

one of several kinds of average, and in particular, one of the Pythagorean means. Typically, it is appropriate for situations when the average of rates...

the latter were named after the tree because of its superiority for both bows and poison. Hecate was seen as a triple deity, identified with the goddesses...

Theron "Mistress of the Beasts", and Mistress of the Sacrifice, even Hera and Demeter." Keary, Charles Francis. Outlines of primitive belief among the...

join the chant in unison. Among the Pythagoreans, the study of mathematics and music were connected to the worship of Apollo, their principal deity. Their...

he [Copernicus] tried to revive the weak Pythagorean opinion [that the element of fire was at the center of the Universe], long ago deservedly destroyed...

over the polarity of the sexes. Although Musonius is predominately a Stoic, his philosophy also partakes of Platonism and Pythagoreanism. He rejected the...

1984, the Gruppo Arx revived Messina's Dioscuri activities, and the Pythagorean Association briefly resurfaced in Calabria and Sicily from 1984 to 1988...

equivalent of the modern two-thirds is shown on the right. Ancient Egyptian mathematicians had a grasp of the principles underlying the Pythagorean theorem...

Engel, M.; Grimaldi, David; Krishna, K. (2007). "Primitive termites from the Early Cretaceous of Asia (Isoptera)". Stuttgarter Beiträge zur Naturkunde...