There are 6 distinct attractors (with the 6 possible orientations of the central element) with all 6 elements of the outer ring of a flowsnake packed into a single position. However only two of these are connected.

The IFSs are

`{ p → ap; p
→ ap + 1; p → e^{iπ/3}ap + 1; p →
e^{2iπ/3}ap + 1; p → e^{3iπ/3}ap + 1;
p → e^{4iπ/3}ap + 1;p → e^{5iπ/3}ap
+ 1}`

`{ p →
e^{5iπ/3}ap; p → ap + 1; p →
e^{iπ/3}ap + 1; p → e^{2iπ/3}ap + 1; p
→ e^{3iπ/3}ap + 1; p → e^{4iπ/3}ap +
1;p → e^{5iπ/3}ap + 1}`

There are also equivalent trans-heptahextals, with IFSs

`{ p → ap; p → ap + 1; p →
e^{iπ/3}ap + 1;
p → e^{2iπ/3}ap + 1; p →
e^{3iπ/3}ap + 1;
p → e^{4iπ/3}ap + 1;p →
e^{5iπ/3}ap +
1}`

`{ p →
e^{5iπ/3}ap;
p → ap + 1;
p → e^{iπ/3}ap + 1; p →
e^{2iπ/3}ap + 1;
p → e^{3iπ/3}ap
+ 1; p → e^{4iπ/3}ap + 1;p →
e^{5iπ/3}ap +
1}`

They both tile with plane with six copies in the unit cell, with the tiling vectors as for the parent flowsnakes.

For each of these there 7 order 13 partial postcomposition derivatives, but only three or four of each set are connected. These tile the plane with 12 copies in the unit cell.

**Source:** Indepedent discovery (William Gosper and myself discovered
teardrops as a class at about the same time).

**References**: