Alsatian Circe: A Circe where a capture is not allowed if the resulting position is illegal under the rules of orthodox chess.
Antipodean Circe: Like Circe, but the rebirth square is (4, 4) away from the capture square.
Circe: Captured units (not Ks) reappear on their game-array squares, of the same color in the case of pieces, on the file of capture in the case of pawns, and on the promotion square of the file of capture in the case of fairy pieces. If the rebirth square is occupied the capture is normal.
white Kg7 Re8d4 Ba8 Sa6e5 Pc2d2f3f6g2g5h3
black Kd6 Bd5 Sb7 Pa7c3c4d7f7h4h5
#2vv (13+10)
Alsatian Antipodean Circe
In the diagram, W has made 6P caps. B’s 6 missing units compensate. While White’s aP died on file, the two remaining W units provide for B’s 2P caps. 1…Pc3*d2[+wPh6] is illegal, as this adds 4WP caps.
1.Kg7-g8? {zz}
1...Sb7-c5 {(S~)} 2.Se5*c4 #
2.Se5*f7[+bPb3]?{*}
2.Rd4*d5[+bBh1]?{**}
1...Sb7-a5!
1.d2*c3? {zz}
1...Sb7-c5 {(S~)} 2.Se5*f7[+bPb3]# 2.Rd4*d5[+bBh1]?{**}
2.Se5*c4[+bPg8]?{***}
1...Sb7-d8!
1.Pg2-g3!! {zz}
1...Sb7-c5 {(S~)} 2.Rd4*d5[+bBh1]#
2.Se5*c4[+bPg8]?{***}
2.Se5*f7[+bPb3]?{*}
1...h4*g3[+wPc7] 2.Pc7-c8=S#
1.Pg2-g4? h4*g4-g3[+wBc8] {e.p.}
1...h5*g4[+wBc8]! {If =R? guarding c6, the position has one less BP capture
and 2.Se5*f7[+bPb3] mates because the position is now legal!
Promotion to S is illegal and to Q mates easily.
(C-)}
* requires 3 bP caps, only 2 available, the WaP is unavailable for capture since it died on file
** Bh1 is a presumed BP promotee, but this would require 3 additional BP caps
*** illegal placement of BP
Z-31-13. Alsatian changed play based on Alsatian cyclical-dual avoidance. (Author)
Missing comments just added to the solution. My mistake.