Thursday, February 24, 2011

Theory Update 68

Here we see how the $24$ area pieces of the Fano star generate a permutohedron. The grey edges of the diagonal triangle $I$ are ignored, and other edges have two green lines crossing them.

One hexagon on the outside creates the spherical polytope, which tiles three dimensional space. This hexagon contains three Fano star vertices $J_i$, which may be glued to form the $7$ vertices of another Fano object on the tetrahedron.


  1. Local news reports Christchurch still a disaster area with university closed. Relieved and surprised you're still blogging.

    I ran into this interesting article:

    Cold fusion would be possible if the electron were 5 to 10x heavier. Makes me wonder if there's some way to make that happen.

  2. Carl, Christchurch is a mess ... but I am some hundreds of km away in Wellington. My good friends there are safe, even if they were rather rattled by their close proximity to falling buildings. We have yet to hear the names of all the deceased, so there is no point worrying about it. No doubt I will know some of them.

    As kneemo will tell you, we can probably engineer cold fusion with black hole physics.

  3. Ah, Wellington. I hope for the best. Re Americans and NZ geography, you might be amused by this link:!5768768/tonights

    Regarding cold fusion, the naive thought that was going through my mind was that if you have to give up the CPT theorem, then it's at least possible that there could be some very odd behavior out there, and it would have something to do with mass.

  4. Yes, I am familiar with the American geography problem. I was skiing in upper NY state in November once, when a guy on the lift asked me when I had last skied. I told him I had been skiing in Australia in September. For a full minute he said nothing, musing it over carefully, and then he finally said: "Gee, you have long seasons over there!" No kidding. And then down under here we are quite used to overhearing arguments about whether the sun rises in the East or in the West ... and where is the East anyway? You get the idea.


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