Grimshaw in fairy problem 4

1.Bf5? th. 2.Sc4#
1...Bc4!

1.Be4? th. 2.Sc4#
1...Bc4!

1.Bd3? th. 2.Sc4#
1...Rc4!

1.Bg7! th. 2.R2b3+ Rxb3(Rh1) 3.Bb2+ Rxb2(Bc1) 4.Bxb2(Rh8)#
1...Bf6 2.Bd3 th. 3.Sc4#, 2...Rc4 3.Kb7 ~ 4.Sxc4(Ra8)#
1...Rf6 2.Be4 th. 3.Sc4#, 2...Bc4 3.Ka5 ~ 4.Sxc4(Bc8)#
1...Rd4 2.Bf5 th. 3.Sc4#, 2...Rc4 3.Kb7 ~ 4.Sxc4(Ra8)#,
2...Bc4 3.Ka7 ~ 4.Sxc4(Bc8)#

Well, the mate is the same in all variations, but the fight to reach it is very complicated. In two first variations, Black defends by line closure, effectively creating Grimshaw interferences, but they are exploited in third move, after preliminary closure of some black lines.

a) 1.Kxa5(Ra1) Kb7 2.Bf6 Bb6#

b) 1.Kxc5(Bc1) Kd7 2.Rf6 Be3#

Not very fairy problem... In fact Circe is really used only in rebirth of two thematical white pieces. Rook twice pins, bishop twice mates.

1.Rg2! th. 2.Rbf2#
1...Bd2 2.Qde2#
1...Rd2 2.Qee2#
1...Re2 2.Qdd2#
1...Be2 2.Qed2#

Anticirce allows very interesting effect - reciprocal batteries without moving two pieces forming them. I discovered similar possibility in 1994, but I published it only in U.S.P.B 1997 - h#2 with spiralspringer and diagonalspiralspringer. Here two queens d1, e1 form two batteries playing on orgue pipes. Very fine idea.

1.Qf8? th. 2.Rh7#
1...Rxe5(Rh8)!

1.Qh8? th. 2.Rh7#
1...Bxd6(Bf8)!

1.Rc7! th. 2.Rc4 ~ 3.Rxa4(Rh1) or Rxe4(Rh1)#
1...Rc5 2.Qh8! th. 3.Rh7#, 2...exd2(d7) 3.Rxd7(Rh1)#
1...Bc5 2.Qf8! th. 3.Rh7#, 2...exd2(d7) 3.Rxd7(Rh1)#
1...Sc5! 2.Qg8! th. 3.Rh7# 2...exd2(d7), Sd7 3.Rxd7(Rh1)#

Good Anticirce combination. White queen allows rook mate by line opening, but he must also remove black defence by blocking Circe square of rook/bishop. As before key it is impossible to remove both defences, white must provoke Grimshaw on c5. It is interesting that black has third, knight defence, giving other possibility of attack.

1.Ba1 Qf4 2.Rb2 Rb3#

1.Rb1 Qd6 2.Bb2 Rc3#

The condition Paz is defined as follows: the side isn't mated if it can check.

White creates battery by queen move, closing in anticipation one black line and mates by rook, closing the other. Black makes critical move and closes third dangerous black line.

1.Sg2! th. 2.Rf2#
1...Be2 2.Qed2#
1...Re2 2.Qdd2#
1...Rd2 2.Qee2#
1...Bd2 2.Qde2#

Improvement of the problem by CP & JR.