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Root-fifty leaper. makes a (5,5)-jump or an (7,1)-jump.[All Comments] [Add Comment or Rating]

Charles Gilman wrote on Sat, May 24, 2003 02:50 AM EDT:

On a 3d board, would this piece also be able to make a 5:4:3 leap? After all, the length of that is quite obviously root 50 as well. Even with that leap the piece would of course still be colourbound, and the board would need one dimension of at least 8 and another of at least 6 to give the piece all its moves.

Alan Redgown wrote on Sat, Dec 24, 2005 09:03 PM EST:Good ★★★★

Hmm...the Root-fifty leaper currently seems to be the only piece of its kind...interesting concept...

David Paulowich wrote on Sun, Dec 25, 2005 01:32 PM EST:Excellent ★★★★★

Christine Bagley-Jones has provided a ZRF for her new variant SKY, which uses both the Root-fifty leaper and the Root-twenty-five leaper [a (0,5) and (4,3) leaper]. She calls the latter a 'Fiveleaper' - but I believe that term should be reserved for a pure (0,5) leaper.

Christine Bagley-Jones wrote on Mon, Dec 26, 2005 12:14 PM EST:

well i called the 0-5, 4-3 leaper a fiveleaper, because i've never seen it
referred to as anything else. if you 'google' the word 'fiveleaper'
plenty of websites have info on the fiveleaper, and every single one i've
seen gives the fiveleaper as a 0-5, 4-3 leaper. some sites are pretty cool
too, here is an amazing one that gives 'fiveleaper tours' on a 8x8
board, see how many there are! http://www.ktn.freeuk.com/9f.htm

Anonymous wrote on Sun, Mar 12, 2006 10:54 AM EST:

The piece which moves (4,3) or (5,0) is definitely called a '5-leaper' in the Oxford Companion to Chess. On another note, there's a misprint on this page: 'one square diagonally' should read 'one square horizontally'.

Anonymous wrote on Thu, Sep 2, 2010 04:44 AM EDT:

I did not understand: why it's square root of 50?

Charles Gilman wrote on Thu, Sep 2, 2010 02:19 PM EDT:

Edited because I had miread your question as 'What is the square root of fifty?' and answered that. It is the square root of 50 because the sum of the squares of the two shorter sides of a right-angled triangle equals the square of the longer sides. The squares of the 5s are both 25, summing to 50, and the squares of 7 and 1 are 49 and 1, also summing to 50.

anony wrote on Sat, Oct 1, 2016 06:43 AM EDT:

It's also color-bound.

🕸Fergus Duniho wrote on Wed, Apr 9 04:26 PM EDT:

I added some AI concept art and described the math behind how this piece works.

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