The Machard Knot and its 16-year-old inventor
summitpost.org
summitpost.org
Interesting to read this story of its origin.
That'd be the french knot which only blocks in one direction. The Machard knot which blocks in both directions does not loop through itself, the karabiner goes through both loops to close the knot.
The Prusik is trickier and slower to tie than the autoblock, and tends to stay tight once it is tensioned. The autoblock runs looser and is easier to loosen up once it has been tensioned, which is why it's generally preferred over the Prusik as a rappel backup.
They're practically bullet proof, although they can take a little longer to bite when coated in mud :)
For ascending, I believe their recommendation was to use a traditional single prussik for the harness, and this for the leg loop. This is certainly easier to move up an untensioned rope than a traditional prussik, but may also slip slightly more readily, I think.
Personally, I've used it mainly as a backup when abseiling; I can't understand why it's not universally used there (attached to leg-loop and below the abseil device) - you just keep your hand on it and it will allow descent, let go or allow it to move up and you are stopped.
A prusik is still my go-to for most other friction knot applications.
Yes that was my question :)
Is it possible? I can't rule it out.
Are there existing knots that do so? None that are commonly known, no.
So if your question was serious then I consider it answered, if you want to seriously know whether something that can't exist can be imagined then the answer is yes, you can imagine it (and so can I), but I can't imagine making one because that would violate the laws of physics somewhere along the line.
You could tie a knot in frictionless rope easily enough, but it would come apart without any work at all and it would not hold anything and you wouldn't be able to grip the rope on either end to tie the knot in the first place. Friction and knots go together unless you're living in a mathematical ideal world, which we don't.