Cubic Recursive Subdivisions is a Geometry Nodes Setup which allows you to have a 3-dimensional cubic subdivision with dissolving.

The Base Function for the Subunits and Recursion is its own Node Group.

Animated Examples with different Recursion Depth and Color Variations are included.

The Empty (or any Object with a Location) will partially dissolve the subdivided mesh depending on your settings.

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Example 1: Base Disintegration

Base Version with increased size and slightly changed inputs.

Example 2: Voronoi and less Recursion

Uses a simple Voronoi Material with Generated as Vector Input.

Less Recursion and only two Materials. (Example has a Material with a Hue/Saturation Node for Variation of parts of the Mesh for the same Voronoi)

Example 3: More Materials

Uses 5 Materials than the default of three. Changed Base and Color Seed.

Geometry Nodes in the Modifier Tab (Simple Version):

Update:

Release of Version 002: You can now change the visible size of the Subunits. The last Group Node for Recursive Subdivisions has a separate Parameter for this option. The new Version (002) is compatible with Blender 3.2+ (old Version 3.0-3.3) and uses Node Editor Frames for the documentation of some Nodes.