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Man and Beast 10: The Hybrid Diagonal. Systematic naming of straight coprime hex-prism-specific radial pieces.[All Comments] [Add Comment or Rating]
Danylo Maschenko wrote on Sat, Dec 16, 2023 06:48 PM UTC:

the 2:1:1:1 is a Foal rather than a Sennight.

You're right! Quite right!

For every two-odds three-distincts cubic leaper there is a 4d one-odds/three-odds one with half its SOLL. By (dual(m:n:o)=((m+n)/2:(m-n)/2:o/2:o/2), where m and n are odd and o is even, the 4d Foal happens to be the cubic Fortnight's dual.

Likewise the pieces corresponding to the cubic 4:3:1 Arbez, 5:2:1 Monk, 5:3:2 Sustainer, 5:4:1 Votary, 5:4:3 Epoletna, 6:3:1 Genome, 6:5:1 Endower and 6:5:3 Dormouse are the 2:2:2:1 Aurochs, 3:2:1:1 Mountie, 4:1:1:1 Student, 3:2:2:2 Offscore, 4:2:2:1 Pentagram, 3:3:2:1 Germinator, 3:3:3:2 Newlywed and 4:3:3:1 Fanatic.