From: owner-ammf-digest@smoe.org (alt.music.moxy-fruvous digest) To: ammf-digest@smoe.org Subject: alt.music.moxy-fruvous digest V14 #13977 Reply-To: ammf@fruvous.com Sender: owner-ammf-digest@smoe.org Errors-To: owner-ammf-digest@smoe.org Precedence: bulk alt.music.moxy-fruvous digest Friday, May 24 2024 Volume 14 : Number 13977 Today's Subjects: ----------------- FOX Friends Features Breakthrough Solar Generator ["Solar Generator" <4Pa] ---------------------------------------------------------------------- Date: Fri, 24 May 2024 12:47:53 +0200 From: "Solar Generator" <4Patriotssoldout@sepytifix.za.com> Subject: FOX Friends Features Breakthrough Solar Generator FOX Friends Features Breakthrough Solar Generator http://sepytifix.za.com/A3uPOcOqoaupk3NuSZ06J6rBzZBgc9Mua9WTCHPI1irrJgOPqg http://sepytifix.za.com/rPzJ0XyKxNwiYpFgAXbTCPH2Rwo0pVaDwn4-WgMoe4JYcG21Jg was the problem of understanding the symmetries of the dodecahedron and icosahedron, two dual polyhedra that have the same symmetries as each other. For this purpose he also invented icosian calculus, a system of non-commutative algebra which he used to compute these symmetries. The name of the icosian game comes from the fact that the icosahedron has twenty faces, the dodecahedron has twenty vertices, and any cycle through all the vertices of the dodecahedron has twenty edges. Icosa is a Greek root meaning twenty. On a dodecahedron with labeled vertices, there are 30 different ways that these vertices could be connected to each other to form a Hamiltonian cycle. However, without the labels, the resulting cycles are all symmetric to each other under rotations and reflections of the dodecahedron. History Both the icosian calculus and the icosian game were outlined by Hamilton in a series of letters to his friend John T. Graves in late 1856. Hamilton then exhibited the game at the 1857 Dublin meeting of the British Association for the Advancement of Science. At the suggestion of Graves, Hamilton sold its publishing rights to Jaques and Son, a London-based toy and game manufacturing company. This company marketed Hamilton's game beginning in 1859, in both its handh ------------------------------ End of alt.music.moxy-fruvous digest V14 #13977 ***********************************************