Ponder This Challenge - July 2019 - Large- and small-area knight's cycles

This month's challenge is by Hugo Pfoertner. (Thanks!)

A non-intersecting knight's cycle is a closed tour made of legal moves of a chess knight on a rectangular board of size mXn, such that the straight lines connecting consecutively visited fields make a simple polygon of an enclosed area A.
Find two non-intersecting knight's cycles of length 14 on boards of size $\le 40$ such that the difference between their areas is at least 7.

As an example, there are two non-intersecting knight's cycles of length 4 on boards of size $\le 16$ such that the difference between their areas is 1:
The first has an area of 3 on 4x4 board: a1 c2 d4 b3 a1
and the second has an area of 4 on 3x5 board: c1 e2 c3 a2 c1.

Submit your solution as two lines of 15 visited fields (start=end) using algebraic chess notation as we used above.

Solution

• Click here to view the solution

  Here is one of the possible solutions:

  The left polygon has an area of 8 and the right one has an area of 15, while both are in an 8x5 (=40) rectangle.

Solvers

• Bert Dobbelaere (30/06/2019 05:02 PM IDT)
• Daniel Chong Jyh Tar (30/06/2019 07:45 PM IDT)
• Thomas HUET (30/06/2019 08:11 PM IDT)
• Deron Stewart (30/06/2019 08:12 PM IDT)
• Kang Jin Cho (30/06/2019 09:06 PM IDT)
• Todd Will (01/07/2019 12:02 AM IDT)
• Alper Halbutogullari (01/07/2019 12:39 AM IDT)
• Florian Fischer (01/07/2019 12:54 AM IDT)
• Reiner Martin (01/07/2019 01:46 AM IDT)
• Gary M. Gerken (01/07/2019 03:15 AM IDT)
• Muhammed Halbutogullari (01/07/2019 11:40 AM IDT)
• Jingran Lin (01/07/2019 11:47 PM IDT)
• Siegmar Szlavik (01/07/2019 11:54 PM IDT)
• Calvin Pozderac (02/07/2019 01:22 AM IDT)
• Rogerio Ponce da Silva (02/07/2019 10:00 AM IDT)
• Kevin Bauer (02/07/2019 04:03 PM IDT)
• Guillaume Escamocher (02/07/2019 04:07 PM IDT)
• George Wahid (02/07/2019 04:12 PM IDT)
• Nico Elayda (02/07/2019 09:46 PM IDT)
• Mark Mammel (02/07/2019 10:19 PM IDT)
• Daniel Bitin (02/07/2019 11:56 PM IDT)
• Eden Saig (03/07/2019 09:40 AM IDT)
• Vladimir Volevich (03/07/2019 01:01 PM IDT)
• Haye Chan (03/07/2019 03:04 PM IDT)
• Victor Chang (03/07/2019 06:59 PM IDT)
• Stanislav Grudnitskiy (04/07/2019 12:46 AM IDT)
• Nigel Brumpton (04/07/2019 01:07 AM IDT)
• Jordan Rinder (04/07/2019 04:29 AM IDT)
• Chris Shannon (04/07/2019 07:52 AM IDT)
• Mathias Schenker (04/07/2019 09:33 AM IDT)
• James Dow Allen (04/07/2019 05:18 PM IDT)
• Alex Fleischer (04/07/2019 06:40 PM IDT)
• Jeffrey Roh (04/07/2019 09:04 PM IDT)
• Muralidhar Seshadri (05/07/2019 10:16 PM IDT)
• Adrienne Stanley (06/07/2019 12:32 AM IDT)
• Pål Hermunn Johansen (06/07/2019 01:56 AM IDT)
• JJ Rabeyrin This IBM (06/07/2019 03:31 AM IDT)
• Keith Kaplan (06/07/2019 05:23 AM IDT)
• Tom Chen (06/07/2019 12:06 PM IDT)
• Graham Hemsley (06/07/2019 12:58 PM IDT)
• Andrew Lee (06/07/2019 03:22 PM IDT)
• Jimmy Waters (06/07/2019 06:23 PM IDT)
• Lorenz Reichel (06/07/2019 11:33 PM IDT)
• Nyles Heise (06/07/2019 11:51 PM IDT)
• Min Jung Kim (07/07/2019 06:59 PM IDT)
• Joonsoo Lee (07/07/2019 08:15 PM IDT)
• Francisco Couzo (08/07/2019 03:59 AM IDT)
• John Goh Choo Ern (08/07/2019 08:41 AM IDT)
• Andreas Stiller (08/07/2019 03:08 PM IDT)
• Michael Liepelt (08/07/2019 08:30 PM IDT)
• Evert van Dijken (08/07/2019 09:05 PM IDT)
• Karl D’Souza (09/07/2019 03:24 AM IDT)
• Ralf Jonas (09/07/2019 09:54 AM IDT)
• Amos Guler (09/07/2019 03:53 PM IDT)
• Jiho Lee (09/07/2019 07:04 PM IDT)
• Gert H. Schlenker (10/07/2019 01:43 PM IDT)
• Clive Tong (10/07/2019 02:33 PM IDT)
• Marco Bellocchi (10/07/2019 04:48 PM IDT)
• Dieter Beckerle (11/07/2019 05:29 AM IDT)
• Harald Bögeholz (11/07/2019 11:57 AM IDT)
• Larry Kearney (13/07/2019 02:20 AM IDT)
• Keith Schneider (14/07/2019 02:30 AM IDT)
• Fabio Michele Negroni (14/07/2019 09:23 AM IDT)
• Robert Lang (14/07/2019 01:30 PM IDT)
• John Tromp (14/07/2019 03:28 PM IDT)
• Kristian Kiradjiev (15/07/2019 01:55 AM IDT)
• Reda Kebbaj (15/07/2019 03:16 AM IDT)
• Sri Mallikarjun J (15/07/2019 06:20 AM IDT)
• Christian Pfaffenzeller (16/07/2019 12:40 PM IDT)
• David Friedman (17/07/2019 06:43 AM IDT)
• Vincent Beaud (17/07/2019 04:04 PM IDT)
• Charles Joscelyne (17/07/2019 06:08 PM IDT)
• Bin Liu (17/07/2019 07:07 PM IDT)
• Wolfgang Glas (18/07/2019 04:35 PM IDT)
• Nis Jørgensen (19/07/2019 03:00 PM IDT)
• Erik Wünstel (19/07/2019 03:59 PM IDT)
• Tom Harley (20/07/2019 07:35 PM IDT)
• David Greer (20/07/2019 09:24 PM IDT)
• Andy Greig (21/07/2019 06:06 PM IDT)
• Bryce Fore (21/07/2019 09:12 PM IDT)
• Jacoby Jaeger (22/07/2019 07:21 AM IDT)
• Rustam Salikhov (22/07/2019 11:21 AM IDT)
• Tom Sirgedas (23/07/2019 01:48 AM IDT)
• Sanandan Swaminathan (23/07/2019 10:11 AM IDT)
• Doug Miller (27/07/2019 07:17 AM IDT)
• Oscar Volpatti (27/07/2019 04:33 PM IDT)
• Motty Porat (27/07/2019 10:55 PM IDT)
• Albert Stadler (29/07/2019 06:36 PM IDT)
• Anna Silenchuk (30/07/2019 03:40 PM IDT)
• Michael Čermák (31/07/2019 12:00 AM IDT)
• Xiao Liu (31/07/2019 09:41 AM IDT)
• Radu-Alexandru Todor (01/08/2019 02:26 AM IDT)
• Armin Krauss (01/08/2019 05:27 PM IDT)
• Shouky Dan & Tamir Ganor (04/08/2019 03:53 PM IDT)
• Li Li (05/08/2019 07:49 AM IDT)