A medium with percolation -top to bottom- using the 4-connexity [Un milieu avec percolation -du haut vers le bas- utilisant la 4-connexité].




A random medium is defined using a 128x128 square lattice:




Some of its sites are empty -black- and some are occupied -grey or white-.

Here is one such medium with 60.022% of empty sites.




A "liquid" -red- is poured using the only empty site -black- on the top line of the preceding picture. It moves from empty sites to empty sites using the 4-connexity {East,North,West,South}:




But it cannot reach the bottom of the medium due to just one occupied site -white-:




This occupied site -white- is emptied:




Then the "liquid" -red and then green- can reach the bottom of the medium:





[See the picture displaying the same process with an identical starting point and using the 8-connexity instead of the 4-connexity]


See a related picture:




(CMAP28 WWW site: this page was created on 11/01/2021 and last updated on 11/03/2021 14:11:40 -CET-)



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