The Z disk of striated muscle is a regular planar network of connections linking two sets of oppositely directed thin filaments from adjacent sarcomeres. Ashurst has inspected images of oblique thin sections through insect Z disks, and proposed that parallel overlapping filaments in the Z disk are arranged in hexagonal bundles of six, which alternating filaments enter from opposite sarcomeres. We have now analyzed images of thin-sectioned and negatively-stained Z disks using Fourier filtering and crystallographic image processing methods. Our findings confirm the basic model of Ashurst for the arrangement of filaments inside the Z disk. By evaluating contour maps of crystallographically averaged images at higher resolution, we have obtained additional information about the positions of the filaments and the connections linking them.We have examined Z disks of flight muscles of three orders of insect, Diptera (blowfly), Hemiptera (Lethocerus) and Hymenoptera (bumble and carpenter bee). Thin sections from Lethocerus whole muscle fibers and negatively-stained isolated Z disks from bumble bee were examined in most detail. The connectivities of thin filaments of one sarcomere through the Z disk to the adjacent sarcomere were traced on Fourier-filtered images of oblique thin-sections. These cut the myofibril at an angle off perpendicular, intersecting it on one side of the Z disk, passing through it, and exiting on the other side. The filaments in the Z disk lattice, and the connections between them, were examined on crystallographically averaged images of transverse sections through the Z disk, and of isolated, negatively-stained Z disks.The insect flight muscle Z disk is arranged on a hexagonal lattice with unit cell dimensions of about 465Å. Images of both thin- sectioned and negatively-stained Z disks diffract optically to the fifth or sixth order (about 75Å resolution). The projection symmetry of the Z disk is p3m. Contour maps of crystallographically averaged images of thin- sectioned and isolated Z disks show prominent features arranged in roughly hexagonal bundles of six. These features correspond to extensions of the thin filaments into the Z disk, three from each of the opposing sarcomeres. By analysis of oblique sections we have confirmed that the opposed thin filament lattices of the two sarcomeres meet in three-fold to six-fold register (that is, a third of a unit cell out of register along both crystallographic axes). The relative strengths of features in these images are consistent with long overlap of filaments from opposite sarcomeres inside the Z disk.