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MatPlus.Net Forum Retro/Math Original Fairy Proofgame
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(1) Posted by Kevin Begley [Monday, Jan 12, 2015 02:15]; edited by Kevin Begley [15-01-12]

Original Fairy Proofgame

Mat Plus Forum, 2015
(= 16+16 )
PG5.0 (16+16) C+
Circe Parrain; 3.1.1...
b) Circe Contre-Parrain; 4.1.1...

I'll wait a week before publishing the solutions, in case somebody wants to have a go (it's a fairly easy solve).

About the problem: I had composed the first phase back in 2007 (I tried testing, but gave up after in 24 hours -- now, it verifies in minutes).
Last year I found a precise way to couple it with a 4-solution second phase, and ultimately, in spite of some symmetries, I decided that this constitutes an improvement.
After this problem, I am retiring from problem chess composition (disclaimer: unless a profound idea falls into my lap, from out of the clear, blue sky).
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(2) Posted by Eugene Rosner [Tuesday, Jan 13, 2015 15:03]

why? We will miss your expertise! I also have to thank you for introducing me to Circe Equipollents. My October '14 StrateGems retro uses it well!
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(3) Posted by Kevin Begley [Tuesday, Jan 13, 2015 20:12]; edited by Kevin Begley [15-01-13]

Hi Eugene,

>why [retirement]?

Too many answers. The polite answer is this: I can no longer find a good answer to the question, "why not?"
The truth is, I consider problem chess corrupted (like a bad religion), to the point where its own logical development has been thwarted.
I spent far too long working to improve its soil; ultimately, it is futile to hope that problem chess would ever welcome the seeds of improvement.
Eventually, I intend to seek a more enduring form of problem expression... but, that is far down the road, and hidden under a hundred more pressing priorities.

>We will miss your expertise!

Likewise, my friend. But, who knows... maybe I'll find you a more honest canvas. :)

>I also have to thank you for introducing me to Circe Equipollents.

That is not necessary, but I am happy to hear that you share my enthusiasm for this condition.
Circe is the most beloved fairy form. And, of the circe-forms which I most admire, Equipollents is the cornerstone.

The Platzewechsel Circe idea may be derived by reversing the Equipollents Circe rebirth (read: by shifting the rebirth vector 180 degrees).
The Parrain Circe idea may be derived by delaying the Equipollents Circe rebirth (read: by withholding the rebirth for an additional ply).
The Contreparrain Circe idea may be derived by reversing the Parrain Circe rebirth.
You could similarly argue that the Contreparrain Circe may idea be derived by delaying the Platzwechsel Circe rebirth.
Thus, these elements form a four-way, with Equipollent Circe as the cornerstone.
Unfortunately, problem chess was not developed in a logical fashion -- so, the relative nature of these inventions do not exactly fit together (as they should).

Also, one could argue that Platzwechsel Circe is the cornerstone -- this is partially correct, but actually this is the cornerstone for a MUCH larger family of circe conditions!
Equipollents is the cornerstone for the smaller subgroup.

There are also the anti-forms for this family -- and they are equally lovely -- where, Anticirce Equipollent is the most interesting.
Note: to appreciate the anti-forms of the delayed rebirth types, it is best to view these not as circe conditions, but as the corollary form (what I have called "Ulysses" form).

Think of Circe this way: all units are circe-units, and circe-units force rebirth of the units they capture (according to some rebirth rules).
Generally, this power extends to Kings (unless otherwise stated), and circe-units never actually capture Kings (unless specifically allowed).
Think of Ulysses as an opposite means to a nearly identical effect: all units are ulysses-units, and ulysses-units are reborn when they are captured (according to some rebirth rules).
Generally, this power does not extend to Kings (unless otherwise stated).

In most cases, the Ulysses-form reduces to an identical condition (with the Circe-form), but it is much better to concentrate on the Ulysses forms.
Try to envision Anticirce Parrain, or Anticirce Contreparrain, and you quickly realize that these forms result in many undesirable issues.
The natural inclination of problem chess inventors is to deforest the issues, by decreeing divine dominion (read: make territorial makings, like pitifully unreasoning creatures).
By the time their careless cleaving is done, the relative structure is lost (just be thankful if they haven't managed to burn down the forest, in the process).
The Ulysses form of these conditions offers a natural (and logical) means to resolve these issues, without pretense or proclamation (preserving the relative structure).
So, I'll leave you with that to go and invent (my departing gift) -- I would do it myself, but what is the point (when this community has already allowed a piracy of such ideas)?
Oh, you might also consider delaying rebirth for an entire move (two plies).

>My October '14 StrateGems retro uses it well!

I will make a note to look for your problem!
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(4) Posted by Kevin Begley [Thursday, Jan 15, 2015 02:03]

The solution is here:
(Read Only)pid=13141

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MatPlus.Net Forum Retro/Math Original Fairy Proofgame