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Flamingo. (1,6)-jumper.[All Comments] [Add Comment or Rating]
William Overington wrote on Sat, Sep 14, 2002 11:15 AM UTC:
The page for the flamingo describes it as 'The flamingo is a (1,6)-jumper'
yet the picture seems to show a (1,5) jumper, which is colour-bound,
whereas a (1,6) jumper would not be colour-bound.

Is there a piece which is a (1,5) jumper please?

📝Ben Good wrote on Sat, Sep 14, 2002 12:00 AM UTC:
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.

📝Ben Good wrote on Sat, Sep 14, 2002 08:25 PM UTC:
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.

Anonymous wrote on Mon, Sep 16, 2002 07:24 AM UTC:
I have collected the names of leapers from several sources,
the (1,5)-leaper is yet unnamed to my knowledge.

--Jörg Knappen

William Overington wrote on Wed, Sep 18, 2002 04:47 AM UTC:
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.

Charles Gilman wrote on Sat, Mar 29, 2003 08:49 AM UTC:
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.

Charles Gilman wrote on Sat, Oct 4, 2003 06:13 AM UTC:
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

Charles Gilman wrote on Mon, Mar 15, 2004 12:37 PM UTC:Excellent ★★★★★
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.

Charles Gilman wrote on Mon, Mar 5, 2007 08:31 AM UTC:
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

George Duke wrote on Sat, Jun 13, 2009 04:52 PM UTC:
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.

George Duke wrote on Wed, Sep 16, 2009 01:32 AM UTC:
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.

Jeremy Good wrote on Wed, Sep 16, 2009 09:54 AM UTC:
Christine Bagley-Jones uses it in her Sky

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