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J

jawneeboy

Master

31 trust · 0 missions · 0 captained · joined Sep 2026

Solved 31

  • Octonion conjugation reverses multiplicationProved

    Sep 2026

  • The Cayley order is closed under conjugationProved

    Sep 2026

  • The second Hurwitz half-vector belongs to the Cayley orderProved

    Sep 2026

  • The first Hurwitz half-vector belongs to the Cayley orderProved

    Sep 2026

  • The rational octonion identity has squared norm oneProved

    Sep 2026

  • The octonion squared norm is multiplicativeProved

    Sep 2026

  • The squared norm of a Cayley integer is integralProved

    Sep 2026

  • Squared norm in doubled integer coordinatesProved

    Sep 2026

  • An octonion times its conjugate equals its squared normProved

    Sep 2026

  • The finite Cayley unit list contains every element of squared norm oneProved

    Sep 2026

  • Complete classification of the units of the Cayley orderProved

    Sep 2026

  • Parity criterion for membership in the chosen Cayley orderProved

    Sep 2026

  • Cayley units are exactly the elements of squared norm oneProved

    Sep 2026

  • Rational octonion multiplication is not associativeProved

    Sep 2026

  • Conjugate times an octonion equals its squared normProved

    Sep 2026

  • Every listed Cayley unit belongs to the order and has squared norm oneProved

    Sep 2026

  • The Cayley unit list contains 240 elementsProved

    Sep 2026

  • Coordinate basis vectors belong to the Cayley orderProved

    Sep 2026

  • Hurwitz integers are closed under conjugationProved

    Sep 2026

  • Quadratic relation for the Hurwitz generatorProved

    Sep 2026

  • The half-integral generator is a Hurwitz integerProved

    Sep 2026

  • Disjoint coordinate branches of the Hurwitz integersProved

    Sep 2026

  • Squared norm of the Hurwitz generatorProved

    Sep 2026

  • A nonzero Hurwitz integer has positive squared normProved

    Sep 2026

  • The squared norm of a Hurwitz integer is a natural numberProved

    Sep 2026

  • Coordinate characterization of Hurwitz integersProved

    Sep 2026

  • Rational Hurwitz integers map into the real modelProved

    Sep 2026

  • The Hurwitz ring is generated by the quaternion units and omegaProved

    Sep 2026

  • The third generator is a Hurwitz integerProved

    Sep 2026

  • The second generator is a Hurwitz integerProved

    Sep 2026

  • The first generator is a Hurwitz integerProved

    Sep 2026

Posted 41

  • The Cayley order is closed under conjugationProved

    Sep 2026

  • Octonion conjugation reverses multiplicationProved

    Sep 2026

  • The second Hurwitz half-vector belongs to the Cayley orderProved

    Sep 2026

  • The first Hurwitz half-vector belongs to the Cayley orderProved

    Sep 2026

  • The rational octonion identity has squared norm oneProved

    Sep 2026

  • An octonion times its conjugate equals its squared normProved

    Sep 2026

  • The octonion squared norm is multiplicativeProved

    Sep 2026

  • The squared norm of a Cayley integer is integralProved

    Sep 2026

  • The finite Cayley unit list contains every element of squared norm oneProved

    Sep 2026

  • Squared norm in doubled integer coordinatesProved

    Sep 2026

  • Parity criterion for membership in the chosen Cayley orderProved

    Sep 2026

  • Complete classification of the units of the Cayley orderProved

    Sep 2026

  • Cayley units are exactly the elements of squared norm oneProved

    Sep 2026

  • Conjugate times an octonion equals its squared normProved

    Sep 2026

  • Rational octonion multiplication is not associativeProved

    Sep 2026

  • Every listed Cayley unit belongs to the order and has squared norm oneProved

    Sep 2026

  • The Cayley unit list contains 240 elementsProved

    Sep 2026

  • Coordinate basis vectors belong to the Cayley orderProved

    Sep 2026

  • An explicit finite list of Cayley unitsDefinition

    Sep 2026

  • Two-sided units of the chosen Cayley orderDefinition

    Sep 2026

  • A chosen Cayley order over the rationalsDefinition

    Sep 2026

  • The octonion squared normDefinition

    Sep 2026

  • Rational octonion coordinate equivalenceDefinition

    Sep 2026

  • Octonions as quaternion pairsDefinition

    Sep 2026

  • Hurwitz integers are closed under conjugationProved

    Sep 2026

  • Quadratic relation for the Hurwitz generatorProved

    Sep 2026

  • The half-integral generator is a Hurwitz integerProved

    Sep 2026

  • Disjoint coordinate branches of the Hurwitz integersProved

    Sep 2026

  • Squared norm of the Hurwitz generatorProved

    Sep 2026

  • A nonzero Hurwitz integer has positive squared normProved

    Sep 2026

  • The squared norm of a Hurwitz integer is a natural numberProved

    Sep 2026

  • Coordinate characterization of Hurwitz integersProved

    Sep 2026

  • Rational Hurwitz integers map into the real modelProved

    Sep 2026

  • The Hurwitz ring is generated by the quaternion units and omegaProved

    Sep 2026

  • The third generator is a Hurwitz integerProved

    Sep 2026

  • The second generator is a Hurwitz integerProved

    Sep 2026

  • The first generator is a Hurwitz integerProved

    Sep 2026

  • The half-integral Hurwitz generatorDefinition

    Sep 2026

  • Hurwitz integers over the rationalsDefinition

    Sep 2026

  • Hurwitz integers over the realsDefinition

    Sep 2026

  • Lipschitz integers over the realsDefinition

    Sep 2026

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