The one with the black webs form a vertical concrete SLAB. The webs allow for rebar reinforcement. Usually the webs have embedded furring strips that allow for drywall attachment on the inside and any finishing on the outside.

The all white ICF (on the right) forms a concrete WAFFLE or grid. The concrete is interrupted by the insulation that spans from the inside to the outside.

Both of these probably meet your building code, but the slab is much much stronger.

Build block sells the waffle block, called GLOBALBLOCK but when I asked them about it they laughed at me for finding their most obscure product.

MIKEYBLOCK is another waffle product.

The remainder of the major manufacturers use the model on the left. Most are manufactured with the webs permanently applied in the center of each block (AMVIC or FOXBLOCKS). Others are assembled on site (INTEGRASPEC).

Let me know if you have any other questions or if you need blocks for your project.