I hope you enjoyed this series on chess vampires.
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Share the post and the challenge with everyone you think could enjoy it!
:)
Share the post and the challenge with everyone you think could enjoy it!
<Comment deleted by user>
Dear author.
Thank you for the very unusual way to introduce the retrograde analysis in chess.
In fact, this type of puzzles, when found in the books or chess journals, look boring and annoying to the reader.
You tried to make the topic more funny. I read all three posts with interest.
Do you intend to write more on the retrograde analysis puzzles?
Thank you for the very unusual way to introduce the retrograde analysis in chess.
In fact, this type of puzzles, when found in the books or chess journals, look boring and annoying to the reader.
You tried to make the topic more funny. I read all three posts with interest.
Do you intend to write more on the retrograde analysis puzzles?
Extremely Cool! I loved the series!
Is it possible to have a vampire but with no pawns on the board?
Thank you @der_Drahtesel .
I was not planning to write more posts for the moment. Maybe after some time.
Do you have any ideas? What kind of retrograde analysis puzzles would you like to see?
I was not planning to write more posts for the moment. Maybe after some time.
Do you have any ideas? What kind of retrograde analysis puzzles would you like to see?
> @arjun18_PM said in #6:
> Is it possible to have a vampire but with no pawns on the board?
It is not possible. Without pawns any bishop may have triangulated and the limited-retractions technique cannot do anything about it.
> Is it possible to have a vampire but with no pawns on the board?
It is not possible. Without pawns any bishop may have triangulated and the limited-retractions technique cannot do anything about it.
But that is a good methodical question. What are the simplest initiation compositions with a side to move, that can be or be continued to relative vampires (assume new rule of guess that the mirror of this referential position (including color to move, as usual, right. I keep doubting, did I flip on dimension too many , as turn castle and almost en passant are hard to visualize on same visual plane as the board movers.).
I think when I was trying to generallize vampires to any position taken as the timing imbalance referential, and applying the same mechanical rules of retrograde analysis to compute tempo from changes in arrangements (with all leaks accounted so we an invoke a minimal chunk of even tempos at most being exchanges. o, well I trip over my own laces again..
I think I wanted to dissect the notion in trying to generlize.. now. I don,t need to go and breack my head on some chessboard 32 kittens wandering in all direction (yeah but within bounader 8x8 of course, still can be very entropic).
I think one can use the standard initial posiotni and get rid of everything but the kind fensing 8 pawns where.
8PK vs 8pk.. alls on their usual stating horizonal center line center of board symettric facing (minus the paint and the turn, did I trip on one bit difference again, I always fear overshooting in my calculations.. like dropping one bit is a binary toggle repeated enough times and then flipped but not exactly in the direction of the other flips..)(.
hahaha. I am drowing in my blabber.. I should have made study with no words just the 8PK verus 8pk.
I think this is right.. pawn irreversibel ratchets, and king unable to triangulation. that can keep suffling for ever until the clock of pawn advance starts maknig vampire a question of scrutinity.. in that initial back rank they can't triangulate.. I wonder if the line movers were really needed.. and the casltling.. these are just more dimense of irreversible time... of sorts. what is the minimalist intial setup.. I guess too smale it might make the deepest vampires very shallow.. because all the pieces doing mutlimoves.. the king walks amount of unique retractoin predictoin (hahaha) become limited.. I think I remember in the other examples, the pawn lateral displacements and attrition was the exact contraints on how narrow could the retrograde expansion be about the other pîeces missing ballet before they were gone.. .. I like to induce from crumbs I saw.. I might never prove a single vampire, but eventually I will master the theory of it.. down to some atoms.. or so I like to entertain myself with such little mircocosm that is moving pieces of things on the board with explicit exact rules as safety net for the dreaming of how else could it be.. I hope I make sense.. still. Man this is fun. retrograde from the other end of the chess telescope.
I think when I was trying to generallize vampires to any position taken as the timing imbalance referential, and applying the same mechanical rules of retrograde analysis to compute tempo from changes in arrangements (with all leaks accounted so we an invoke a minimal chunk of even tempos at most being exchanges. o, well I trip over my own laces again..
I think I wanted to dissect the notion in trying to generlize.. now. I don,t need to go and breack my head on some chessboard 32 kittens wandering in all direction (yeah but within bounader 8x8 of course, still can be very entropic).
I think one can use the standard initial posiotni and get rid of everything but the kind fensing 8 pawns where.
8PK vs 8pk.. alls on their usual stating horizonal center line center of board symettric facing (minus the paint and the turn, did I trip on one bit difference again, I always fear overshooting in my calculations.. like dropping one bit is a binary toggle repeated enough times and then flipped but not exactly in the direction of the other flips..)(.
hahaha. I am drowing in my blabber.. I should have made study with no words just the 8PK verus 8pk.
I think this is right.. pawn irreversibel ratchets, and king unable to triangulation. that can keep suffling for ever until the clock of pawn advance starts maknig vampire a question of scrutinity.. in that initial back rank they can't triangulate.. I wonder if the line movers were really needed.. and the casltling.. these are just more dimense of irreversible time... of sorts. what is the minimalist intial setup.. I guess too smale it might make the deepest vampires very shallow.. because all the pieces doing mutlimoves.. the king walks amount of unique retractoin predictoin (hahaha) become limited.. I think I remember in the other examples, the pawn lateral displacements and attrition was the exact contraints on how narrow could the retrograde expansion be about the other pîeces missing ballet before they were gone.. .. I like to induce from crumbs I saw.. I might never prove a single vampire, but eventually I will master the theory of it.. down to some atoms.. or so I like to entertain myself with such little mircocosm that is moving pieces of things on the board with explicit exact rules as safety net for the dreaming of how else could it be.. I hope I make sense.. still. Man this is fun. retrograde from the other end of the chess telescope.
maybe without pawns but king and rooks.. but no.. we need those front of pawn to convert space into timing. I think. this is not just irreversible decision.. it is also about going somewhere in space.. the paws are bound to bump into each other or have some attrition, if with pawns then it can be deduced.. we can substract from initla material what is missing .. but I do think it is difficulty to find the vampires without constructing the sequences getting there, sure the proof is not needing to know that, but the uncovering of the vampire hypothesis is through an explorative forward game.. I guess I am also interest in the thinking aspect of the how you are growing the world of vampires..
Often the discovery process in mathematics is left to the wild antecedents of the learner, rarely part of the math teaching/learning theory.. I find this fascinating at many levels. The thing itself, and how we look at it.
But while vampires and mirror and can't look at the mirror image what a descriptive story, I find that the essence of the problem is more about finding all the ways that forward and backward chess can be counted and accounted for all the tempi spent of exchanges to result in different material spatial arrangements.. using the logic of the core mobility rules (same as in EG constructions.. it is pure mobility backwards, from small finite outcome or win and draw.. in your end of that telescope ( we only have one clamp boundary case.).. I did not sleep much last night, so I might be having more poetic license now that tomorrow, if I were to read myself again.. but if error it is about something I forgot to argue.. but it might need to be checked too.I just can,t tell anymore..
I think you are mapping the boundaries of spatial displacements on the board and attrition moves that can keep telling about the time that has passed to get there. an equation of sorts. using the mirror to make an equation not an inequation. ( I edited the word movement for spatial displacement to make it clearer what is being controlled on both side of such equation to balance each other). In essence you are fighting big fintie forward expansion, with adding restrictions such as space mirror and turn flip. so no lose ends.
Often the discovery process in mathematics is left to the wild antecedents of the learner, rarely part of the math teaching/learning theory.. I find this fascinating at many levels. The thing itself, and how we look at it.
But while vampires and mirror and can't look at the mirror image what a descriptive story, I find that the essence of the problem is more about finding all the ways that forward and backward chess can be counted and accounted for all the tempi spent of exchanges to result in different material spatial arrangements.. using the logic of the core mobility rules (same as in EG constructions.. it is pure mobility backwards, from small finite outcome or win and draw.. in your end of that telescope ( we only have one clamp boundary case.).. I did not sleep much last night, so I might be having more poetic license now that tomorrow, if I were to read myself again.. but if error it is about something I forgot to argue.. but it might need to be checked too.I just can,t tell anymore..
I think you are mapping the boundaries of spatial displacements on the board and attrition moves that can keep telling about the time that has passed to get there. an equation of sorts. using the mirror to make an equation not an inequation. ( I edited the word movement for spatial displacement to make it clearer what is being controlled on both side of such equation to balance each other). In essence you are fighting big fintie forward expansion, with adding restrictions such as space mirror and turn flip. so no lose ends.