From: owner-ammf-digest@smoe.org (alt.music.moxy-fruvous digest) To: ammf-digest@smoe.org Subject: alt.music.moxy-fruvous digest V14 #13978 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 13978 Today's Subjects: ----------------- Your hip and low back is aching because... ["Unlock Hips" Subject: Your hip and low back is aching because... Your hip and low back is aching because... http://amiclear.za.com/DrRoPuxwGpEg5J878QOkdaBgki8eyK1O0Q4jUz-mZNOTRJKfSg http://amiclear.za.com/ybEqz6VC01gLGv7TXUCgWv7rNx1ZY90rajYBWE2DF_MD6SVlmw osian 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 handheld solid and flat forms, under the lengthy titles The Travellers Dodecahedron, or a voyage around the world, and (respectively) The Icosian Game, invented by Sir William Rowan Hamilton, Royal Astronomer of Ireland; forming a new and highly amusing game for the drawing room, particularly interesting to students in mathematics of illustrating the principles of the Icosian Calculus. Several other versions of the game were sold in Europe. How ------------------------------ End of alt.music.moxy-fruvous digest V14 #13978 ***********************************************