Extraordinarily Rare Checkmate Pattern....

In which position and with which orientation of the board?

It is a variation of the swallowtail checkmate 

so,what's solution

The solution is to post diagrams the correct way with White on bottom.

It's not so unusual a mate. I have seen it many times in books (tactical positions) and tactics training stuff on the Internet. I've never seen a name given to it. 

Your diagram is mate in four. It's an elementary queen and knight checkmate without a special name.

However, accepting your claim of mate in one, your diagram is upside down and has an incorrect FEN. In this case, the checkmate is a variant of the swallowtail checkmate, so named because of the pattern of the two squares controlled by the pawn while the queen controls all the other squares.

Not even close to true Ziryab. You've been lied to and you believed it 'cuz you wanted to believe it. My question to you is "why" did you wanna believe it ?

Swallow's tail mate also known as the Guéridon mate is a common method of checkmating. It works by attacking the enemy king with a queen that is protected by a rook or other piece. The enemy king's own pieces (in this example, rooks) block its means of escape (The Art of the Checkmate by Renaud & Kahn (1962) page 44).

The queen is not protected by another piece/pawn and the enemy's pieces/pawns do not block its means of escape.

This is not a derivative of the Swallowtail's Mate. Not even close.

I hereby name this the Ghostess Mate. The Queen needs no protection (which beautifies the position) and the enemy king is not hampered by its own forces. AND, the Queen is checkmating at a controlled distance....not adjacent.

And it's artistically simple requiring only a Queen and doubled pawns.

You are quoting without understanding.

Here's another definition form a book written by a student of Renaud and Kahn.

The swallowtail mate gets its name from the shape behind the king. The squares occupied by its own pieces resemble the forked tail of a swallow, a kind of bird.

That book offers this position from one of the author's own games:

And this additional comment:

Suppose the black rook and queen were not blocking their king, but White had a knight on d7. The swallowtail pattern would still present itself, as the knight covers the tail. Imagine more variations and you will become more adept at finding these mates in your own games. What if Black had a knight on f6 instead of a queen? Nxh7 and the attacking piece is gone.

The shape of the squares controlled by the queen, and those controlled by the knight and pawn resemble the swallowtail mate. Ghostess mate is a stupid name, as it is derived from the name of someone who doesn't know how to post a simple diagram.

You might also look at Danny Kopec, Practical Middlegame Techniques (1997), p. 11, especially patterns T (epaulet) and U (swallowtail).

The pattern is neither swallowtail exactly not epaulet exactly, but closely resembles both and could be regarded as a variation of one or the other.

Not masters, but similar pattern.

(#31) The pattern is neither swallowtail exactly not epaulet exactly, but closely resembles both and could be regarded as a variation of one or the other.

No it doesn't.....and therefore deserves an eponymous attachment. I hereby declare it (once again) a Ghostess Mate.

The above game clearly demonstrates a swallowtail where the Qb4 and the d4 pawn hinder the enemy King's movement. Not so in mine. That's why mine's unique.

You are quoting without understanding.

This is about as far as you can get with Lola, unfortunately.  Much like trying to argue against Astrology.

Now. Be honest with me. When did you ever see this checkmate pattern ?

It matters not where the White King is. It matters not where on the board it occurs. The queen stands proudly undefended while steadfastly defending the lead pawn. The second pawn stands behind it at ready and defending the lead pawn's flanks.

The Ghostess Mate in all its elegant beauty. White to move & ++ (from tripled pawns !)

The problem with scientism is it doesn't hold the "truth". It carries educated speculation that gets overturned all the time. Did you know that the BB is starting to get thrown out of the window with all the dirty bathwater ?

It doesn't work because it leads to proof that something made the Universe....there Tickle Me Bee. That sits wrongly w/ big-big brains and so they're working on other stuff that excludes the supernatural.

So go ahead. You keep on believing science holds all the answers. You go right ahead and keep on gripping to that false hope. Ona these dayz you're gonna wish you explored the right side a your brain. 

I'm left-handed, so, right-brained.  Oh wait, that's not science (er, sorry, "scientism") either ;).

I guess I will have to stop making mosaics since I am not creative.  Oh no!

....and I'm claiming this mating pattern as my own. From this moment forward it's the Ghostess Mate....and coming to a google search near you.

Here is a more pertinent question. Is it a shortcoming of Lola's left or right brain that kept her from learning how to post a diagram with coordinates?

Seriously dude, just take it as it is... you don't have to abuse the person.

Here is a mating position I made up last year and named the Swan mate, because the pieces are arranged like the five brightest stars in the constellation Cygnus. I don't think you need to worry about falling into this mate.

Black king - Deneb
Queen - Sadr
White king - Albireo
c7 knight - Rukh
c3 knight - Gienah

I guess I'm used to it C265. Some people are gonna be mean....that's all.

Kf3 in all of those positions...oops.