Asked for a random 4×4 matrix, the models don’t spin a wide net of numbers. They reach into the same small drawer — single-digit integers — over and over.
PROMPT“Give me a random 4x4 matrix of numbers.”
41matrices parsed
45%entries are single digits 1–9
57%entries fall in 0–12
0two models gave the same matrix
01
Where the numbers land
all 656 entries
A genuinely random matrix over, say, 1–100 would spread evenly. These don’t. 296 of 656 entries are single digits 1–9, and the mass piles up in 0–12 with a long, thin tail out to 100 (and 104 stray negatives, 31 zeros). Black bars are the 0–9 band.
Frequency of each integer value across every matrix. Tails (<−5, >20) are bucketed at the ends.
02
Every matrix
41 specimens · cell darkness = magnitude
No two models produced the same matrix — yet they all look alike: pale grids of little numbers. Each cell is shaded by magnitude, so large values show up as dark squares. There aren’t many.
Hover a bar in figure 01 to mark every cell holding that value ↑
03
Digit 0–9 distribution
within the small-integer drawer
Inside that 0–9 band the spread is fairly even — so it isn’t a single favourite digit (as with the lone “pick a number” test). The bias here is magnitude: a “random” matrix that almost never leaves single figures.