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it's (1,6), if you follow the link to torsten linss' problem page, you can see that's how he's moving it in his problems. i'm not sure what i was thinking when i made the page - a lot of the pages i submitted in 1998 and early 99 were written very quickly, there's not much to them and they have some errors (there's also an inconsistency in the antelope in terms of how it's described on the page and how it's described in the index). i have been working on redoing all my piececlopedia pages, but it will be awhile before i get to some of them.
hmmm... my original response on this seems to have never gone thru... <P>
the flamingo is a (1,6) leaper. if you follow the link to torsten linss' problems, you'll see that's how he's using it. i'm not sure what i was thinking when i made the diagram, the piece pages i submitted in 1998 and early 99 were generally written very quickly and a lot of them didn't have much to them. i am working on redoing all my piece pages but it will be awhile before i get to all of them. i know with the antelope that there's a discrepancy between how it's described in the page and how's it's described in the index.
I have collected the names of leapers from several sources, the (1,5)-leaper is yet unnamed to my knowledge. --Jörg Knappen
Thank you both for your replies. I got to thinking that the (1,5)-leaper could perhaps be called a Crane, continuing the idea of long range leapers being named after birds, as with the flamingo. However, I found that Crane was being used elsewhere. The (1,5)-leaper is colour-bound, so would play quite differently to a flamingo.
If there is no standard name for a 1:5 leaper I can suggest Zemel, and while I am at it I can suggest Gimel for the 3:5 one. These names are mathematically inspired. In the following all the variables are integers. If n can be expressed as a²+b², then 2n=(b-a)²+(b+a)². If n is even so are b-a and b+a and both sides can be divided by 4, making n/2 also a sum of squares. This means that for every a:b leaper there is a (b-a):(b+a) leaper. Ignoring non-coprime leapers this pairs leapers into a non-colourbound leaper with an even and an odd component and a colourbound one with two odd components. Such pairs are the 0:1 Wazir and 1:1 Fers, the 1:2 Knight and 1:3 Camel, the 2:3 Zebra and the 1:5, and the 1:4 Giraffe and the 3:5. Pronouncing the K in Knight gives 'Cannite', and the Knight has always represented Cavalry, so '-mel' can be taken as an ending for a two-odds leaper. Hence Zemel and Gimel.
Further to my last comment I have now come up with name suggestions for all possible leapers on a 10x10 board which do not already have them, although many would be useful only on a still large rboard or as part of a compound piece. Many are derived from the Ca- group but 'Cadan' is conversely derived from 'Sedan' for a 3d 6:3:3 leaper - thrice the 2:1:1 Sexton's leap. Not among the colour-changing ones the use of bird names for near-orthogonal ones and ecclesiastical titles for near-diagonal ones. 1 Knight 2 Camel Zebra 3 Giraffe Carriage Antelope 4 Zemel Satyr Gimel Rector 5 Flamingo Caravan Cablecar Zerriage Parson 6 Namel Stork Samel Ibex Famel Curate 7 Ibis Girriage Huckster Carfax Diplomat Narriage Deacon 8 Remel Alba- Cadan Gate- Somel Zeblecar Bimel Verger 9 tross crasher
Of the piece names suggested below, those explicitly inspired by Flamingo now appear (along with established ones) on my piece article From Ungulates Outwards (http://www.chessvariants.com/piececlopedia.dir/ungulates-outwards.html). The rating is to credit the inspiring name.
Since my last posting I have rethought the names for non-coprime pieces (see article When Beasts Collide) and two of the longest-range coprime ones (see From Ungulates Outwards). As you wil see, I have abandoned the vehicle-based names for non-coprime ones in favour of ungulates and birds to match non-coprime ones of similar range. 1 Knight 2 Camel Zebra 3 Giraffe Charolais Antelope 4 Zemel Satyr Gimel Rector 5 Flamingo Crane Chamois Zherolais Parson 6 Namel Stork Samel Ibex Famel Curate 7 Ibis Ghirolais Huckster Caltrap Gardener Nharolais Deacon 8 Remel Albatross Casso Outsetter Somel Zrene Bimel Verger 9 -wary
On a board 7x7 Flamingo would be bound to the perimeter. Gilman's Namel (1,7) jumper is so bound on regular 8x8 board. Can they both manoeuvre to get to the other orthogonal perimeter rows on respective boards? Yes. I switch notation and also use Flamingo's going directly to opposite corner of (2,7) set of squares. On 8x8 Gilman's Ibis (1,8) leaper cannot move even from the perimeter.
In 1999 Ben Good wrote, ''I know of no game that uses it. Torsten Linss has a few problems using Flamingo.'' Well, Charles Gilman has several uses now of flamingo, one CV called Carnival of the Animals: http://www.chessvariants.org/index/msdisplay.php?itemid=mscarnivalofthea A long-ranger fixed length like this might be compounded as a practical matter. Flamingo 6,1 plus Famel 7,5 = Flambeau; explain in whole or in part either numerically as to compounds or duals in systematization, or linguistically, or motionally for triangulating only, according to your state of comprehension. In other words, why compound duals instead of having the components stand alone? [source: ''m&b ungulates''] As well, I use Flamingo frequently in ProblemThemes, which happens to be in CVPage comment last below.
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