# Content-Type: text/shitpost

Subject: The imperative mood
Path: you​!your-host​!walldrug​!epicac​!thermostellar-bomb-20​!twirlip​!batcomputer​!plovergw​!shitpost​!mjd
Date: 2018-11-15T15:45:04
Newsgroup: talk.mjd.imperative-mood
Message-ID: <1c1f306203b29148@shitpost.plover.com>
Content-Type: text/shitpost

OR SUFFER THE UNSPEAKABLE CONSEQUENCES

Subject: Harris’ tertiary colors
Path: you​!your-host​!wintermute​!gormenghast​!qwerty​!fpuzhpx​!plovergw​!shitpost​!mjd
Date: 2018-11-15T05:19:25
Newsgroup: talk.mjd.tertiary-colors
Message-ID: <aece688ec24f1872@shitpost.plover.com>
Content-Type: text/shitpost

Incidentally, Harris’ The Natural System of Colours has more than one plate. In addition to the one depicting the “prismatic” colors, starting from the primaries red, yellow, and blue, and showing how they mix to form the secondaries orange, green, and purple, he has a second plate that starts with the secondaries and mixes them to form tertiaries.

Harris names the tertiaries “olave” (orange-green), “slate” (green-purple), and “bronn” (purple-orange). I think “olave” and “bronn” are just alternate spellings of “olive” and “brown” but it is after midnight and I do not want to go downstairs to get out the Big Dictionary.

Wikipedia asserts that the terms “citron”, “slate”, and “russet” have since become common, and attributes them to George Field's Chromatography (1835). Field actually calls them “citrine”, “olive”, and “russet”.

Subject: w.LEY?
Path: you​!your-host​!ultron​!uunet​!batcomputer​!plovergw​!shitpost​!mjd
Date: 2018-11-15T05:04:09
Newsgroup: rec.pets.wLEY
Message-ID: <50f5b99144bc0cc1@shitpost.plover.com>
Content-Type: text/shitpost

Here is a page from Moses Harris’ extremely influential book The Natural System of Colours, published around 1760. This image is widely reproduced and you may have seen it before:

(This particular image is from a copy of the second edition of 1811, and as you can see it has suffered significant damage.)

Subject: Octahedral paths
Path: you​!your-host​!warthog​!colossus​!kremvax​!grey-area​!fpuzhpx​!plovergw​!shitpost​!mjd
Date: 2018-11-15T03:55:07
Newsgroup: misc.octahedral-paths
Message-ID: <78a3a36d0d4798cb@shitpost.plover.com>
Content-Type: text/shitpost

More progress on counting paths on octahedra! Suppose you want to know how many paths of length !!n!! there are between two opposite vertices of an octahedron.

It turns out that it is the same as the number of ways to take !!n!! terms, each of which is either !!\pm1!! or !!\pm2!!, and add them up to get an odd multiple of 3. (Order matters.)

For example, there are 8 paths of length 3, which correspond to !!1+1+1, -1+2+2, 2-1+2, 2+2-1,!! and their negatives.

That actually seems like an improvement because it seems like counting those sequences will be a straightforward application of generating functions.

Subject: Octahedron path group
Path: you​!your-host​!walldrug​!epicac​!thermostellar-bomb-20​!twirlip​!am​!plovergw​!ploverhub​!shitpost​!mjd
Date: 2018-11-14T20:24:16
Newsgroup: talk.mjd.octahedron-path-group
Message-ID: <2dd4713a6a1f2190@shitpost.plover.com>
Content-Type: text/shitpost

Note to self: On the octahedron, we don't have !!xy=yx!!, but we do have !!xyx=yxy!!.

This is a consequence of !!x^2=1!! and !!(xy)^3=1!!.

Date: 2018-11-14T15:11:28
Newsgroup: talk.mjd.dodecahedron-ideas
Message-ID: <cafcab875a47b557@shitpost.plover.com>
Content-Type: text/shitpost

Your original idea labeled the endpoints of the edges instead of the edges themselves. Putting the same label at each endpoint means that !!x^2=1!! for all !!x!!. Maybe you don't need this. Or what if we go partway in this direction and label the endpoints !!x!! and !!x^{-1}!!?

Your original idea was to think of the dodecahedron as a Cayley graph, but then you didn't really follow this up. Go back and think about Cayley graphs more carefully.

In the tetrahedron, each face is a product !!abc!! in some order, so at every starting point !!xyz=1!! whenever !!x,y,!! and !!z!! are all different. In the cube the corresponding property for faces is !!xyxy=1!!. The coloring of the dodecahedron that you're using has no such good property. Can you find one that does? This would probably require that you use five labels.

The fact that you found a labeling of the tetrahedron and cube where label order didn't matter is an expression of some fact about the symmetry of the polyhedron itself that you aren't looking at directly. What's really going on there?

It's obvious why this labeling exists for the cube (and for the !!n!!-cube generally). But why does it exist for the tetrahedron? What's going on there?

Subject: Sortition
Path: you​!your-host​!warthog​!goatrectum​!plovergw​!plover​!shitpost​!mjd
Date: 2018-11-13T19:10:46
Newsgroup: alt.mjd.sortition
Message-ID: <fbc1a8e04188e118@shitpost.plover.com>
Content-Type: text/shitpost

According to the National Conference of State Legislatures, 24 states legally decide the outcome of tied legislative elections by drawing straws or flipping coins.

Subject: John Lennon
Path: you​!your-host​!wintermute​!wikipedia​!twirlip​!am​!plovergw​!shitpost​!mjd
Date: 2018-11-13T18:28:32
Newsgroup: misc.john-lennon
Message-ID: <859834cf3ced4dcb@shitpost.plover.com>
Content-Type: text/shitpost

The 1978 film All You Need is Cash:

John Lennon loved the film and refused to return the videotape and soundtrack he was given for approval.

Subject: Fortified
Path: you​!your-host​!wintermute​!wikipedia​!hardees​!m5​!plovergw​!shitpost​!mjd
Date: 2018-11-13T18:25:49
Newsgroup: misc.jobs.fortified
Message-ID: <447b88de160fd9bd@shitpost.plover.com>
Content-Type: text/shitpost

Alcohol was strictly forbidden during rehearsals and recording, so the cast fortified themselves with milk. The milk in turn was fortified with brandy.

Subject: Git typo of the week
Path: you​!your-host​!ultron​!uunet​!asr33​!skynet​!m5​!plovergw​!shitpost​!mjd
Date: 2018-11-12T22:00:31
Newsgroup: sci.math.git-typo-of-the-week
Content-Type: text/shitpost

Everyone types git vommit at some point, it's not worth mentioning.

But just now I asked it to git re-arse master.

Subject: Narf
Path: you​!your-host​!ultron​!gormenghast​!hal9000​!plovergw​!shitpost​!mjd
Date: 2018-11-12T18:22:51
Newsgroup: misc.narf
Message-ID: <61a5fe2ac2e50bf8@shitpost.plover.com>
Content-Type: text/shitpost
    data Narf a = Narf (Narf a) deriving (Eq, Show)


One kinda funny thing about this type is that it does actually contain a (countably) infinite family of values. But there's no way to tell any of them from any of the others.

    narfn 0 = undefined
narfn n = Narf $narfn (n - 1)  The deriving Eq is a strikingly empty promise. Subject: Vox Balaenae Path: you​!your-host​!wintermute​!wikipedia​!twirlip​!batcomputer​!plovergw​!shitpost​!mjd Date: 2018-11-12T17:10:42 Newsgroup: alt.binaries.pictures.erotica.vox-balaenae Message-ID: <e61524e29d80fc55@shitpost.plover.com> Content-Type: text/shitpost Last time I looked to see if Spotify had George Crumb's Vox Balaenae, it didn't, but now it does. Yay. Mmm, they now have Harry Partch also. Path: you​!your-host​!walldrug​!epicac​!goatrectum​!plovergw​!ploverhub​!shitpost​!mjd Date: 2018-11-12T15:52:19 Newsgroup: misc.test.hamiltonian-cycles-on-the-dodecahedron Message-ID: <529cc236744d9dd1@shitpost.plover.com> Content-Type: text/shitpost Considering the dodecahedron as a graph with 20 vertices and 30 edges, it's not hard to find a hamiltonian cycle on the dodecahedron. This is a path along the edges of the dodecahedron from vertex to vertex that visits each vertex exactly once and returns to its starting point. Such a path tontains 20 of the 30 edges, and it turns out that one can color the 30 edges in three colors so that the union of the edges in any two of the three colors forms a hamiltonian cycle. Or, put another way, the double dodecahedron graph, with 20 vertices and 60 edges, is a union of three 20-cycles. Subject: Narf Path: you​!your-host​!wintermute​!hardees​!m5​!plovergw​!shitpost​!mjd Date: 2018-11-11T08:02:43 Newsgroup: rec.food.narf Message-ID: <6523889057509e68@shitpost.plover.com> Content-Type: text/shitpost  -- Haskell data Narf a = Narf (Narf a) deriving (Eq, Show) narf = Narf narf  Subject: Wiggle wiggle Path: you​!your-host​!wintermute​!wikipedia​!uunet​!batcomputer​!plovergw​!shitpost​!mjd Date: 2018-11-11T03:18:00 Newsgroup: comp.protocols.tcp-ip.wiggle-wiggle Message-ID: <8a7791771ed28ff8@shitpost.plover.com> Content-Type: text/shitpost Today I'm thinking about the function $$\sin\bigl(2^x\bigr)$$ which I don't remember having considered before. Subject: Scrapple Path: you​!your-host​!warthog​!goatrectum​!plovergw​!plovervax​!shitpost​!mjd Date: 2018-11-09T19:38:50 Newsgroup: rec.food.scrapple Message-ID: <37ffc8e117f0f86e@shitpost.plover.com> Content-Type: text/shitpost Another local delicacy is “scrapple” of which I am very fond. It has an undeservedly sketchy reputation. Many years ago Conrad Heiney described it memorably (if not accurately) as what you get when you throw a grenade into a barnyard. For the record then: scrapple is primarily corn meal or other flour that has been boiled in meat broth. The meat broth may contain small bits of meat. The boiled mush is put into a loaf pan and left to firm up. None of this is very different from polenta, a similar Italian dish that enjoys a better reputation. The loaf is then sliced, and the slices are fried until they are brown and crisp. This too is often done with polenta. Subject: Battery capacity Path: you​!your-host​!wintermute​!wikipedia​!hardees​!triffid​!mechanical-turk​!goatrectum​!plovergw​!plover​!shitpost​!mjd Date: 2018-11-09T16:16:01 Newsgroup: misc.misc.battery-capacity Message-ID: <0e2fef752d285cf3@shitpost.plover.com> Content-Type: text/shitpost The batteries have a rated capacity of 235 mAh at a voltage of 2–3V. This works out to over 400 calories. If such a battery were to release its stored energy all at once in an enclosed space, I see no reason why it could not start a fire. If three were kept together, a sudden failure of one battery could trigger a similar failure of the others, with potentially serious consequences. Subject: Life is a mystery, continued Path: you​!your-host​!wintermute​!wikipedia​!hardees​!brain-in-a-vat​!am​!plovergw​!shitpost​!mjd Date: 2018-11-09T16:12:19 Newsgroup: misc.life-is-a-mystery-continued Message-ID: <2ef9c7c4bcd93f39@shitpost.plover.com> Content-Type: text/shitpost To my amazement, I find that I am actually considering that I buy a six-pack of batteries for$12.98 instead of two four-packs for \$11.96.

It happens that we need exactly five. The extras will sit around uselessly and must be disposed of sooner or later. Lithium batteries are potentially dangerous. They are hazardous waste and cannot simply be thrown in the trash. If I buy a 6-pack, I will have only one-third as much hazardous waste to deal with; perhaps that is worth paying an extra dollar?

Subject: Terminological happiness
Path: you​!your-host​!wintermute​!mechanical-turk​!brain-in-a-vat​!am​!plovergw​!shitpost​!mjd
Date: 2018-11-09T15:56:27
Newsgroup: alt.binaries.terminological-happiness
Message-ID: <7efd046b100a4470@shitpost.plover.com>
Content-Type: text/shitpost

In !!n!! dimensions, in general, there are only three regular polyhedra. (For !!n=2,3,4!! there are more, but these are the only exceptions.) One of these is the !!n!!-simplex, which is the !!n!!-dimensional analogue of the triangle and the tetrahedron. It's natural to denote this as !!S_n!!.

And, happily, the symmetry group of !!S_n!! is !!S_n!!.

Subject: Horizontal?
Path: you​!your-host​!walldrug​!epicac​!thermostellar-bomb-20​!twirlip​!am​!plovergw​!ploverhub​!shitpost​!mjd
Date: 2018-11-09T15:39:21
Newsgroup: misc.misc.horizontal
Message-ID: <abcc650bdcf52cae@shitpost.plover.com>
Content-Type: text/shitpost

Come to think of it, nobody ever uses “horizontal” to mean “pertaining to the horizon” and I think hardly anyone would understand it if used that way. But it's a bit different case since “horizontal” actually means something that resembles the horizon, which stands as the prototype of a horizontal object.

Subject: Vertical?
Path: you​!your-host​!ultron​!uunet​!asr33​!gormenghast​!hal9000​!plovergw​!shitpost​!mjd
Date: 2018-11-09T15:37:14
Newsgroup: alt.sex.vertical
Message-ID: <df798065576f0497@shitpost.plover.com>
Content-Type: text/shitpost

Is it common to use the word “vertical” to mean “pertaining to vertices”? Or is that just confusing?

I think that's the sense in which it's used in vertical angles, but I remember I did find that confusing.

Subject: Life is a mystery
Path: you​!your-host​!wintermute​!wikipedia​!twirlip​!am​!plovergw​!shitpost​!mjd
Date: 2018-11-07T14:38:56
Newsgroup: talk.mjd.mystery
Message-ID: <4b3062169a8fcd7b@shitpost.plover.com>
Content-Type: text/shitpost

Date: 2018-11-06T03:14:37
Newsgroup: rec.food.meat
Content-Type: text/shitpost

This useful guide to what parts are best eating.

Subject: I do actually have a motto
Date: 2018-11-06T00:03:27
Newsgroup: sci.math.motto
Message-ID: <7abcbd6fe742f4b7@shitpost.plover.com>
Content-Type: text/shitpost

If you're looking for a motto, try:

No situation is so bad that it can't be made worse by panicking.

It's worked well for me.

Subject: Possible motto? Maybe?
Path: you​!your-host​!wintermute​!brain-in-a-vat​!am​!plovergw​!shitpost​!mjd
Date: 2018-11-05T23:58:12
Newsgroup: rec.food.possible-motto
Message-ID: <0b31500698db6cfa@shitpost.plover.com>
Content-Type: text/shitpost
• Never use a ten-point scale where a five-point scale will do

• Never use a five-point scale where a three-point scale will do

• And don't use a three-point scale if a thumbs up – thumbs down is good enough