Spherical view

Favorite modes

Radial modes · n

Combination gallery

Choose a combination, then select any of the 24 constituents to adjust its weight. Terms shows successive partial sums. This finite limit is computational, not mathematical.

Spherical constituents

A bank of 24 named harmonics: zonal degrees 0–16 plus seven tesseral and sectoral patterns. Each nonconstant degree oscillates at a frequency proportional to the square root of ℓ(ℓ+1). The constant term stays fixed.

Combination gallery

From functions to form

Oscillation

Nodes

Surface

Signed value colors

First color: negative. Second: positive. Pale: zero. Single modes show the stationary eigenfunction; combinations show the instantaneous sum.

Pale curves mark stationary nodes. Surface and palette change appearance, not the function.

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