Forming field
The field could not be drawn in this browser.
The sampling exhibit needs a canvas or hardware-accelerated graphics.Same count. Different claims.
Drag to rotate the sphere. When the sphere is focused, use the arrow keys to rotate it. The 1, 2, and 3 keys select a method; P toggles spacing, O toggles order, and T switches Paper and UV presentations. On compact screens, Inspect opens the figure plate.
Nearest-neighbor coefficient of variation is a local spacing statistic, not a universal ranking. Transitions use a spatially arranged presentation correspondence; they are not mathematical point transport.
Each method places 1,536 points on the same unit sphere. The displayed count and radius stay fixed while the construction changes.
Random uses a deterministic seeded random construction; New random chooses another seed. Sobol uses a deterministic low-discrepancy sequence mapped to the sphere. Fibonacci uses a fixed golden-angle construction. These are different ways of placing the same number of points.
Switch between Random, Sobol, and Fibonacci. Turn on Spacing to inspect local variation, or Order to inspect the sequence. Drag the sphere to turn it. On compact screens, Inspect opens the figure plate.
NN CV is the standard deviation divided by the mean of the nearest-neighbor chord distances. A lower value means more uniform nearest-neighbor spacing for this point set. It does not establish the best method for integration, coverage, or every other task.
These are the displayed finite point sets. Sobol’s dyadic prefixes and Fibonacci’s fixed full set support different uses. The animated transition uses a spatially arranged presentation correspondence; it is not mathematical point transport.