  This text is intended to become in the long run Chapter 3 of our long saga
dedicated to Riemann, Ahlfors and Rohlin. Yet, as its contents evolved as
mostly independent (due to our inaptitude to interconnect both trends as
strongly as we wished), it seemed preferable to publish it separately. More
factually, our account is an attempt to get familiarized with the current
consensus about Hilbert's 16th in degree 8. This is a nearly finished piece of
mathematics, thanks heroic breakthroughs by Viro, Fiedler, Korchagin, Shustin,
Chevallier, Orevkov, yet still leaving undecided six tantalizing bosons among a
menagerie of 104 logically possible distributions of ovals (respecting
B\'ezout, Gudkov periodicity, and the Fiedler-Viro imparity law sieving away
4+36 schemes). This quest inevitably involves glimpsing deep into the nebula
referrable to as Viro's patchworking, and the likewise spectacular
obstructional laws of Fiedler, Viro, Shustin, Orevkov. In the overall, the game
is much comparable to a pigeons hunting video-game, where 144 birds are
liberated in nature, with some of them strong enough to fly higher and higher
in the blue sky as to rejoin the stratospheric paradise of eternal life
(construction of a scheme in the algebro-geometric category). Some other, less
fortunate, birds were killed (a long time ago) and crashed down miserably over
terrestrial crust (prohibition). Alas, the hunt is unfinished with still six
birds, apparently too feeble to rally safely the paradise, yet too acrobatic
for any homosapiens being skillful enough to shoot them down.
