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George, if you want to make a different move on your previous move in our game of Quintessence, now that we are armed with this knowledge, I won't mind.
Answering George Duke's question: Yes, the quintessence is two-path like the other crooked pieces, e. g., the boyscout. --JKn
If it helps, my understanding of it is that it is two-path.
Nice work describing some new Nightrider-types. Jorg Knappen, is Quintessence one-path or two-path? In the drawing it shows a1-b3-d2-e4... Must Quintessence stay between the sides of the right angle formed by a-file and 1-rank? Or if there is a file x, can Quintessence from a1 go a1-x3-b4-a6-c7...? There is a Game Courier game in progress with that conflict.
Quite .. er .. nutty .. Just a thought, what if the King was replaced by a Royal Knight ? And the pawns by Fergus's Cavaliers ?
After a comment on one of my piece articles I have come up with some ideas for easily-extrapolated angle-specific Crooked-piece names, using prefixes and suffixes. In each case _____ represents the name of the straight linepiece minus -rider (e.g. Night). Long_____flyer: 53° Night-, 37° Camel-, 67° Zebra-, 28° Giraf- Short_____flyer: 127° Night-, 143° Camel-, 113° Zebra-, 152° Giraf- Long_____sidler: 37° Night-, 53° Camel-, 23° Zebra-, 62° Giraf- Short_____sidler: 143° Night-, 127° Camel-, 157° Zebra-, 118° Giraf- Long_____flyer+Short_____flyer=_____flyer Long_____flyer+Long_____sidler=Long_____lady Short_____flyer+Short_____sidler=Short_____lady Long_____sidler+Short_____sidler=_____sidler _____flyer+_____sidler=_____lady
The snappiest way to describe the different crooked Nightriders wouild be by the angle they turn through, to the nearest half a degree. These are: 37° (narrow diagonal); 53° (narrow orthogonal); 90 (Quintessence) 127° (wide orthogonal); 143° (wide diagonal). Thus this game's end ranks would run 127° crooked Nightrider, Rose (curved Nightrider, alternating between 37° and 53° turns), 37° crooked Nightrider, straight Nightrider, King, 143° crooked Nightrider, 90° crooked Nightrider, 53° crooked Nightrider. For crooked Camelriders the angles are the same but with orthogonal and diagonal swapped over. Crooked Zebra-, Giraf- &c. riders would have completely different angles.
As well as these extensions of the Knight move there are of course corresponding extensions to the Camel, Zebra, Giraffe &c. moves. The straight riders are Camelrider, Zebrarider, Girafrider and for the equilateral octagons I suggest Macel, Bezra, Rigaffe (a pun on silent H). Rose+Macel I would call an Ung. However there are also TRUE 45º (and 135º) direction changes, alternating between Knight and Camel moves, or Zebra and Zemel (5:1) moves. A piece moving along an equiangular octagon alternating between Knight and Camel moves I suggest calling an Ambrose. As the crooked Nightriders are new to me I have no names for the alternating versions of these.
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