[ubuntu-mono] FOX Friends Features Breakthrough Solar Generator

4Patriots sold out 4Patriotssoldout at visisharpsd.shop
Sun Jun 23 07:39:25 UTC 2024


 FOX Friends Features Breakthrough Solar Generator

http://visisharpsd.shop/2nYN996vPLGx1DY9mJe3_7eMElusxLRtQWOMydPAO491yMdPCA

http://visisharpsd.shop/Vt8RLjhrvnO7Gbb30QPZB0X0KiLP9oV0CZEe0qC3eQVKcYdj5A

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
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <https://lists.ubuntu.com/archives/ubuntu-mono/attachments/20240623/7e5dc2bf/attachment.html>


More information about the Ubuntu-mono mailing list