Working identification: an octahedral core with eight elongated triangular pyramids erected on the medial triangles of its faces. It has full cube/octahedron symmetry, but it is not the canonical regular octet cell.
What makes it unusual: the spike bases use the 12 edge midpoints of the central octahedron. Those 12 points are also the vertices of a half-scale cuboctahedron. Use Morph to regular octet to expand the medial bases into full tetrahedral face connections.
Mesh facts
8 core faces
24 lateral spike faces
8 omitted base triangles
edge-midpoint shell
Exact edge-length families are in the ratio 1 : √3 : 2. The STL is topologically open because the eight medial base triangles are absent and their edges are not welded into the large octahedron faces. That appears structural rather than accidental.
Navigation: drag to orbit · Shift+drag to pan · wheel to zoom · Space pause · M auto morph · E explode · +/− zoom.