How far is each shell forced from four equal p-th powers? Gold = the perfect-balance diagonal (1,1,1,1). White = the most balanced representation that actually exists. The gap between them, at record size, generates one sequence per p.
|x|ᵖ+|y|ᵖ+|z|ᵖ+|w|ᵖ = 1 p = 2 · min largest part 1 · ideal 1
balance gap = 0
exponent p
navigate shells
ideal balance points (m,m,m,m)·signs
most-balanced actual representation
other points, tinted by imbalance
the family — one row per p, dots at record shells (log N →) · tap any dot