Mon Oct 15, 2012 11:35 am  posted by Jeremy Clark
2. A superflip can be done in 83 moves. Here are the moves:
[6]'[9]'[4][11] ([1][2]'[1][2]2[3]'2)*6 [11]'[4]'[9][6] ([12]'2[9][11]'[7]'[8]')*9
(Number a face [1], then number touching faces [2] to [6] in clockwise order, then number [7] opposite [2], [8] opposite [3] etc, and finally [12] opposite [1] -- sorry if there's already a standard notation for the whole megaminx but I couldn't find one.)

May 18, 2016         82 move solution by Dr Robin Hankin 

Sat, Jun 8, 2019     M.L. learns about twsearch

Fri, Jan 31, 2020    74 move solution by M.L.
Tom has his own 74 move solution around this time

Mon, Feb 3, 2020     69 move solution by Tom Rokicki

Fri, Jul 3, 2020     72 move solution CD type by M.L.
(U R F2' R F2' L2' BR2' A C D A2' D A2' F2' E2' L I BL L2' BL L2' A2' BF2' F)3
24 * 3 = 72 moves

Mon, May 1, 2023     59 move solution by Tom Rokicki
Tue, May 2, 2023     57 move solution by M.L. (improvement based on 59 move solution)
Thurs, May 5, 2023   55 move solution by Tom Rokicki (3 phase solution)