So this arachnehedron is based on the snub cube (sort of; more of an isosceles cube tiling than a regular tiling). Unlike all the previous shapes the “spike” in this shape is asymmetrical. Each five sided spike has four “spokes” that connect to an underlying “hub” and a fifth spoke that runs through the object and connects back to another “through spoke”.
The hubs are also unlike other arachnehedrons, with each spoke twisting as it enters the spoke and the hub itself being pointy.
The spokes that run through the object also make an 8th turn twist so that when they connect to a neighboring spoke the “width” and “height” dimensions have been swapped.