George Duke wrote on Fri, Jun 29, 2007 12:36 AM UTC:
Dave's Silly Chess Game suggests a new group of chess problem themes,
namely, initial positions' fulfilling certain conditions. Puzzle One at
DSCG Comment shows one array where White cannot move on 8x8, Kings being
in back rank and 'full complement' meaning 50 percent piece density
altogether with half of them Pawns. The greater the board size, the more
solutions, so 8x8 has thousands using CVPage-indexed pieces. Here is
second, albeit similar solution:
8 P____ ____ ____K____N____ ____ ____P Black capital letters
7 P____ ____ ____ ____C____Z____ ____P C Crooked B; N Namel(2.8);
6 P____E____D____ ____R____ ____ ____P Z Zemel(2,6)leaper
5 P____ ____ ____ ____ ____ ____I____P E Elbow-Chess Rook that must
4 p____ ____ ____w____n____ ____i____p turn once only 90 degrees
3 p____ ____ ____w____ ____ ____ ____p Immobilizers(Rococo)
2 p____ ____ ____w____ ____n____ ____p Dragon 5-sq. 5+way multi-path
1 p____n____ ____ ____k____ ____ ____p w wazir
a b c d e f g h
White cannot move because:
If Knight-b1 moves, Elbow-Chess Rook has pathway.
If w-d2, w-d3 or w-d4 moves, Dragon-c6 has a pathway(each one different).
If n-e4 moves, Rook has its pathway.
If n-f2 moves, Crooked Bishop has pathway.
King cannot move because of leapers Namel(2,8) and Zemel(2,6). See 'Passed Pawns, Scorpions and Dragon', Betza's 'Crooked Bishop', and Gilman's 'From Ungulates Outward'.
Dave's Silly Chess Game suggests a new group of chess problem themes, namely, initial positions' fulfilling certain conditions. Puzzle One at DSCG Comment shows one array where White cannot move on 8x8, Kings being in back rank and 'full complement' meaning 50 percent piece density altogether with half of them Pawns. The greater the board size, the more solutions, so 8x8 has thousands using CVPage-indexed pieces. Here is second, albeit similar solution: 8 P____ ____ ____K____N____ ____ ____P Black capital letters 7 P____ ____ ____ ____C____Z____ ____P C Crooked B; N Namel(2.8); 6 P____E____D____ ____R____ ____ ____P Z Zemel(2,6)leaper 5 P____ ____ ____ ____ ____ ____I____P E Elbow-Chess Rook that must 4 p____ ____ ____w____n____ ____i____p turn once only 90 degrees 3 p____ ____ ____w____ ____ ____ ____p Immobilizers(Rococo) 2 p____ ____ ____w____ ____n____ ____p Dragon 5-sq. 5+way multi-path 1 p____n____ ____ ____k____ ____ ____p w wazir a b c d e f g h White cannot move because: If Knight-b1 moves, Elbow-Chess Rook has pathway. If w-d2, w-d3 or w-d4 moves, Dragon-c6 has a pathway(each one different). If n-e4 moves, Rook has its pathway. If n-f2 moves, Crooked Bishop has pathway. King cannot move because of leapers Namel(2,8) and Zemel(2,6). See 'Passed Pawns, Scorpions and Dragon', Betza's 'Crooked Bishop', and Gilman's 'From Ungulates Outward'.