the 16-var Rhombic dodecahedron is just a rhombic dodecahedron, but in 3D Pascalloids and Combinatorics, this version of a Hypercube Projected Rhombic Dodecahedron must be significant.

If we perform a careful operation on a Hypercube, we can bring a shape back from 4D to 3D to perform a diagonal sum for rhombic dodecahedra,

and this is the equation:



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The algebraic solution struck me immediately after solving that for the cubic hexagon.

The geometry is still n-based, starting here at n=2.





That was a collection of views of the N = 2, 16-var Rhombic Dodecahedral Pascalloid, what is difficult to visualize until you see many examples. As before, we can give a sum total for that iteration of N=2; 162 = 256
That was a collection of visualizations of the 16-var Rhombic Dodecahedral Pascalloid, what is looking quite obfuscated,

At N = 3 sum total = 163 = 4,096

That was a collection of visualizations of the 16-var Rhombic Dodecahedral Pascalloid, going from central mode to external amplification modes,

At N = 4 sum total = 164 = 65,536

That was a collection of visualizations of the 16-var Rhombic Dodecahedral Pascalloid, going from external mode to central amplification modes,

At N = 5 sum total = 165 = 1,048,576

That was a collection of visualizations of the 16-var Rhombic Dodecahedral Pascalloid, going from external mode to central amplification modes,

At N = 6 sum total = 166 = 16,777,216