A medium without percolation -top to bottom- using the 4-connexity [Un milieu sans percolation -du haut vers le bas- utilisant la 4-connexité ]

A medium without percolation -top to bottom- using the 4-connexity [Un milieu sans percolation -du haut vers le bas- utilisant la 4-connexité].




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

An 128x128 empty 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 random 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}:

A medium without percolation -top to bottom- using the 4-connexity


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

A random medium with 60.022% of empty sites


This occupied site -white- is emptied:

A random medium with 60.028% of empty sites


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

A medium with percolation -top to bottom- using the 4-connexity



[See the picture A medium with percolation -top to bottom- using the 8-connexity displaying the same process with an identical starting point and using the 8-connexity instead of the 4-connexity]


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