

Out of the search for stablestate goals came the question... what are the largest (densest) stablesstate cell arrangements on a 7x7 grid, and can these states be manufactured by the bluecell from an arbitrary startpoint, such as the Ystart? 

Stablestate cell arrangements are a wellexplored topic in standard Game of Life, and a little web searching will soon tell you the limits on a 7x7 grid (see for example Stephen Silver's Dense Stable Patterns). However manufacturing these dense goals from Ystart is not easy. Read more below, or discover some dense stablestate goals for yourself with this minichallenge:
Load: SS<U<DSR<S//UL/><
Find: a 24cell stablestate in 4 moves, and then
26cell in another 2 moves.
Note: this challenge has been preloaded for you, just
click on the grid to move the blue cell.
Controls Movement Keys 
The densest stablestate cellarrangements for a standard 7x7 grid are infact 30 cells (edgedependent) and 28 cells (edgeindependent) but it is far from easy to manufacture these goals from Ystart. Jacco Compier's search program found only 5 arrangements with 20+ cells, in a complete search of all goals reachable in 20 moves or less. The longest, and most pleasing perhaps, is this goal: 24 cells in 20 moves. However Jacco Compier did eventually prove than it is possible to manufacture a 30cell stablestate from the Ystart. Here it is: 30 cells in 37 moves.
If you use undo/redo to explore the last few moves of the above sequences you get a strong sense that the bluecell is carefully crafting itself a grand retirement home, this bluecell clearly plans to retire in good company! But what about the loner bluecell who just wants to die alone? Is this possible? Find out on the world domination page.
We are left with one unsolved challange here. Is it possible for the bluecell to manufacture that elusive 28cell edgeindependent stablestate from the Ystart? For example: