Hexagonal Awareness Month

Good news everyone, it’s almost Hexagonal Awareness Month again.

Why not join one of our tasteful and interesting event pages today:

Here we see the illustrious cuboctahedron, or vector equilibrium. Along with the truncated octahedron, it can be considered, in some sense, a three-dimensional analogue to the hexagon. Though it has no hexagonal faces, the cuboctahedron can be seen to consist of four hexagonal rings or planes arranged in the manner of tetrahedral symmetry. That is, if one took a tetrahedron, replaced its four faces with hexagons (as for instance with a truncated tetrahedron), and collapsed all four hexagonal sides so that they all shared a common center, the vertices of the hexagons would describe a cuboctahedron, with each vertex shared between two intersecting hexagons, collapsing the original 24 vertices of the four hexagons into the 12 vertices of the cuboctahedron. (Likewise, of course, the cuboctahedron can simply be seen as a sort of “expanded” tetrahedron, with four of its eight triangular faces representing the original four faces of an inner tetrahedron, the remaining four triangles representing its four vertices, and the square faces representing its edges.) Tetrahedral symmetry being the simplest type of polyhedral symmetry, and the only one suited to this sort of fitting together of hexagonal planes, the cuboctahedron represents a unique extension of and analogue to hexagonal symmetry in three dimensions.

Here we see the illustrious cuboctahedron, or vector equilibrium. Along with the truncated octahedron, it can be considered, in some sense, a three-dimensional analogue to the hexagon. Though it has no hexagonal faces, the cuboctahedron can be seen to consist of four hexagonal rings or planes arranged in the manner of tetrahedral symmetry. That is, if one took a tetrahedron, replaced its four faces with hexagons (as for instance with a truncated tetrahedron), and collapsed all four hexagonal sides so that they all shared a common center, the vertices of the hexagons would describe a cuboctahedron, with each vertex shared between two intersecting hexagons, collapsing the original 24 vertices of the four hexagons into the 12 vertices of the cuboctahedron. (Likewise, of course, the cuboctahedron can simply be seen as a sort of “expanded” tetrahedron, with four of its eight triangular faces representing the original four faces of an inner tetrahedron, the remaining four triangles representing its four vertices, and the square faces representing its edges.) Tetrahedral symmetry being the simplest type of polyhedral symmetry, and the only one suited to this sort of fitting together of hexagonal planes, the cuboctahedron represents a unique extension of and analogue to hexagonal symmetry in three dimensions.

The permutohedron of order n is the n-1 dimensional polytope embedded in an n-dimensional space, the vertices of which are formed by permuting the coordinates of the vector (1, 2, 3, …, n).
The permutohedra give us an important geometrical framework with which to understand many of the interesting and unique properties of hexagons.
Read more…

The permutohedron of order n is the n-1 dimensional polytope embedded in an n-dimensional space, the vertices of which are formed by permuting the coordinates of the vector (1, 2, 3, …, n).

The permutohedra give us an important geometrical framework with which to understand many of the interesting and unique properties of hexagons.

Read more…

Behold my THREE DIFFERENT TAKEOUT ORDERS OF BUFFET FOOD. It took like 20 minutes of AWKWARD LOITERING by the buffet table for the noodles and seitanic kale to come back out, but it was totally worth it. This month I have REVISED MY EARLIER SYSTEM by segregating the no name into a DEDICATED CONTAINER (the middle tub on the left) that it might not dissolve into undifferentiated goo among the sauces of the mixed curds. I also have one dedicated noodle dish, and the other two being MIXED CURDS AND NOODLES. I will eat the latter first, and save the segregated, tub-sealed material for later on in the week. At that time the noodles in the first dish will be mixed with the curds of the other two tubs. The no name will be even distributed among all noodle/curd mixtures as needed. The boxes, as always, contain BREADED PRODUCTS for dipping in the red sauce.

These are literally I think the first PICTURES OF FOOD I have ever posted to the internet - and I am to be honest mildly embarrassed to do so even at this late date. It will not be a regular thing, I just wanted to spread the good news of my take-out buffet system.

Nonetheless, I have been thinking of late that I may start posting more trivial crap here, so brace yourselves for more UNINTERESTING MINUTIAE in the future.

Re: Monsarrat v. Filcman, Newman and Does 1-100

Everybody take a moment and read this amazing letter to Jonmon’s lawyer.

Background material:

Hexagonal Awareness Google+ Community

Exciting news everyone. I have created a HEXAGONAL AWARENESS COMMUNITY on Google+, in yet another presumably pointless effort to unite the global hexagonal community under some sort of viable online forum.

This is also probably a good opportunity to remind people that the Hexagons page on G+ exists as well. People should follow it.

That is all. Thank you.