Closed Knight's Tour FNC

[quisquidillius]

Hello,

While on holiday, I decided to find some FNC routes, and while in a swimming pool one day, I started thinking about a closed Knight's Tour route (i.e. the start stop is one stop from the end stop). I then came up with an Oakwood --> Oakwood, and I have also found an Oakwood --> Cockfosters. In addition, I found a Totteridge and Whetstone --> High Barnet.

While coming up with these routes is not very difficult (although their nature leaves little room for missing connections), has anybody actually ever tried something like this in practice? And following on from that, has anybody completed in this way? I know of High Barnet --> Cockfosters completions and Epping --> Roding Valley, but I've never heard of (in my searching) a closed Knight's Tour FNC. Maybe I might refine my route a bit and make it a bit better, and then do it!

[RJSRdg]

I'm not quite sure I understand the concept - I think referring to it as a "closed Knights tour" confused the issue as clearly you don't move two stations along and one to the side!

But even so I'm confused as a Cockfosters - Oakwood route would either involve leaving Cockfosters by some method other than Tube, or passing through Oakwood twice.


One thought I had the other day though is that the number of squares on a chessboard is the same as the number of Zone 1 stations (64), so that could be a Knight's Tour (as per the chess puzzle), or has that already been done?

[quisquidillius]

I'm not quite sure I understand the concept - I think referring to it as a "closed Knights tour" confused the issue as clearly you don't move two stations along and one to the side!

But even so I'm confused as a Cockfosters - Oakwood route would either involve leaving Cockfosters by some method other than Tube, or passing through Oakwood twice.


One thought I had the other day though is that the number of squares on a chessboard is the same as the number of Zone 1 stations (64), so that could be a Knight's Tour (as per the chess puzzle), or has that already been done?

The route does pass through Oakwood twice. It starts by heading down the Piccadilly and finishes with the bus from High Barnet and then the final train to Cockfosters. The Oakwood to Oakwood one takes the bus from High Barnet to Cockfosters, and then takes a train to Oakwood. However, as the last train from Cockfosters is much earlier than the last the other way, the route has much less slack.

Regarding the Z1 idea, I'm not quite sure what you mean...

[RJSRdg]

Only that the Knight's Tour chess puzzle involves visiting each square once and once only, so in a similar way a Knight's Tour Zone 1 would visit all 64 stations once and once only. (Hence being confused by your Oakwood-Cockfosters KT visiting Oakwood twice!).

[The Orange One]

Knights Touring the Zone 1 is something I've wondered about for a while!!

I have the following route for that:

Vauxhall Victoria Westminster Lambeth North (run) Elephant and Castle London Bridge Waterloo Embankment Aldgate East Aldgate (run) Liverpool Street Chancery Lane Farringdon (run) Moorgate King's Cross St. Pancras (Northern) Leicester Square Charing Cross Oxford Circus Tottenham Court Road Euston Euston Square (run) Great Portland Street Regent's Park Edgware Road Bakerloo Edgware Road Circle (run) Paddington H&C Paddington District (run) Notting Hill Gate Bond Street Green Park Knightsbridge Sloane Square High Street Kensington Earl's Court

[Tube Geek]

Only that the Knight's Tour chess puzzle involves visiting each square once and once only, so in a similar way a Knight's Tour Zone 1 would visit all 64 stations once and once only. (Hence being confused by your Oakwood-Cockfosters KT visiting Oakwood twice!).

Make Oakwood Southgate

[palkanetoijala31]

You lot have far too much times on hands

[greatkingrat]

Not sure exactly what rules you are using, but could you start Southwark London Bridge Elephant Waterloo Vauxhall Victoria Aldgate East to avoid the Westminster - Lambeth North run?