Tetrahelical struts composed of 29 tetrahedra (BC29) are three times more acurate in terms of angular divergence between the two terminal edges than BC18. If bent around to form a loop, one additional tetrahedron is needed to fill the space above the two mated terminal edges. So BC29 is fundamentally the same structure as the 30 tetrahedron exact rings that can exist in the curved 3D space S3.
BC29 is not unicursal, but it can be made unicursal by adding a 1-tetrahedron side branch at one end without altering its essential strut geometry or interfering with its attachment at nodes.
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