Date: 31 DEC 1980 1230-PST From: WOODS at PARC-MAXC Subject: Re: relatives of the plummer cross To: ZILCH at MIT-DMS, CUBE-LOVERS at MIT-MC In response to the message sent 31 Dec 1980 0729-EST from ZILCH@MIT-DMS Your "baseball" is listed in Singmaster's booklet as "the Worm" (though I must admit I like your name for it), with a 28-qtw solution (23 if you count half-twists=1). I prefer the pattern named the "Snake": DUD DUD DUD BBB RFR FFF LBL BLL FFR FRR BBL BLB RRR FRF LLL UUU DDD UUU which is known to be soluble in 20 qtw (16 if htw=1). Meanwhile, your cube-in-a-cube has a 24-qtw (20-htw/qtw) solution in Singmaster, though I generally find it easy enough to make in 34 qtw using the commutator operation [spoiler warning!] nicknamed "rFUfuR": rFRfUfuFuRUr. -- Don. -------