Tuesday, 10 March 2020

Magic Knight Tours 8x10 and 8x14

On my 80th Birthday, and shortly after, I was sent a series of 80-cell magic knight tours on the 8x10 rectangle by Guenter Stertenbrink and later some by Awani Kumar. 

Some of the tours in the Stertenbrink list are closed tours with a complete braid along the bottom border. This can be extended, in four different ways, to cover a further four rows forming a magic 8x14 tour. Here is one example that I sent to these correspondents on 18 February.

These tours answer the final missing cases of Magic Knight Tours on rectangular boards.

07 62 07 52 09 56 01 58
06 51 06 61 04 59 10 55
49 08 63 08 53 12 57 02
64 05 50 05 60 03 54 11
09 48 65 04 27 30 83 86
02 67 46 11 82 85 28 31
47 10 03 66 29 26 87 84
68 01 12 45 88 81 32 25
13 44 99 70 23 34 89 80
00 69 14 43 90 79 24 33
41 16 71 98 35 22 77 92
72 97 42 15 78 91 36 21
17 40 95 74 19 38 93 76
96 73 18 39 94 75 20 37

Underlined: add 100.

The formations on the fifth to eighth ranks down are familiar: a double Beverley quad, and a Snake-head formation as in the 12x12 magic tour by the Rajah of Mysore.

I am not able to do geometrical diagrams as yet on my new computer, but have made some progress with installing HTML-Kit and Cute-FTP which will enable me to update some of the pages on my website. I have already begun to update the History section, where a lot of the links no longer work, but have not yet uploaded this work to the website. .

Next Weekend 13 -15 March I am due to play in the Blackpool Chess Congress, though I've been having doubts whether to go in view of the Coronavirus outbreak.


Saturday, 8 February 2020

Frodsham Chess Congress

Last weekend I took the trains to Frodsham, near Chester, to take part in the Minor section of the Chess Congress held there. I stayed at the Old Hall Hotel in the town, a twenty minute walk to the venue, which was the Community Centre in Fluin Lane. I won my first game on the Friday evening, lost the next two on the Saturday, then drew one and won one on the Sunday, scoring 2.5/5.

There were quite a few other players from the Crewe Chess Club there as well, though I think some of them were traveling there by car each day. The Arbiter Francis Bowers was staying at the same hotel and we travelled together as far as Crewe on the return journey on Sunday evening. I think that was the first time I'd met him since the World Circular Chess in Lincoln some years ago.

Here are the results of the congress:
https://chess-results.com/tnr511730.aspx?lan=7&art=0&flag=30
Clicking on a player's name shows the games they played and the results.

I treated the weekend as a sort of holiday and spent some time walking around to see the local sights. Such as the Castle Park (though without a Castle) which was full of dog-walkers. Then on Sunday morning along to the river where there is an impressive Victorian railway viaduct, dated MDCCCL in prominent Roman numerals, high up. Unfortunately I forgot to take a camera.

Monday, 20 January 2020

New Computer

This is just a test post using a new computer.
My old Samsung laptop seized up, apparently due to a faulty disc.
The new one is a Lenovo laptop with Windows 10 and WiFi connection.
It is taking me a while to get used to and to transfer files from the old machine.
This seems to have worked so far!

Sunday, 8 December 2019

Crewe Chess Congress

I forgot to post that I entered the Crewe Chess Congress on 27-29 September and won a grading prize for a 3.5 score in the Minor section. Since then I've only played in the Club and in a few team matches, away to other local clubs at Newcastle and Cheddleton and Meir. I was thinking of going in for other tournaments but the cost of travel and accommodation is getting prohibitive. I'm not sure if I will get to one of the Hastings tournaments after Christmas or in the New Year.

Wednesday, 2 October 2019

Knight's Tours Notes in 12 PDFs

On 26 September I published this version of my "Knights Tour Notes" in the form of 12 PDF monographs that can be downloaded from my publications page. I am really pleased, and indeed relieved, that I have been able to get this finished. Though new historical information has since come to light that makes part of it out of date already!

http://www.mayhematics.com/p/p.htm


Knight's Tour Notes by G. P. Jelliss

1 — Theory of Moves

2 — Walker Tours

3 — Shaped & Holey Boards

4 — Oblong Boards

5 — Odd & Oddly Even Boards

6 — Geometry of Chessboard Knight Tours

7 — Symmetry in Chessboard Knight Tours

8 — Octonary & Quaternary Pseudotours

9 — Magic Knight Tours

10 — Augmented Knight & Leaper Tours

11 — Alternative Worlds

12 — Chronology & Bibliography

This series of 12 monographs, contain much of the material from my Knight's Tour Notes web-pages. It was orignally proposed to publish it in book form but has proved too much to reproduce that way. It may be possible to produce a shorter book, in a more popular style, if a publisher can be found.


Tuesday, 24 September 2019

Magic Knight Tour 12x10

This is formed by simply adding a braid to one of Awani Kumar's recently found 12x6 magic tours.


The file and rank sums are 605 and 726.

Non-Crossing Knight Tour

I've been doing some more work on knight tours.
This is the best I've found for a closed non-crossing knight tour on 32x32 board.
820 moves which is 80% coverage.