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The Collatz conjecture's bubble

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x is a integer greater than 1. The consecutive divisions of (3x+1)/2 and (5x-1)/2 and (3x-1)/2   all lead to 4, 2 then 1, all lead to shape a square which the  surface equals 1 after 4 & 2, the smallest symmetry. So we notice that the quantity of x is not a factor that can break the smallest symmetry finality. Watch snowflakes, they all have 6 fans, all made in a random cloud, in shape & volume. That means the number six is made from randomity.  If clouds always find a way to make snowflakes with 6 arms, then the set of natural numbers   will always find a way to make squares. Even if the number of H2O in the cloud is not dividable on 6, it can borrow from another cloud, and the chain won't stop. At the end, we won't have flakes with different number of fans.Its similar of what we did with odd integers ; we amplified them to fit the making of the smallest integer symmetry. I know, my friend, that snowflakes could not always have the same numbers of H20 molecu...

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kitty katty koo©

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May 2025 flowers

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Magnefiscent shadow collection

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A eucalyptus leaf burned green

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A spoon with teeth

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Shape reversal

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  Heart reversal https://theemptydiscillusion.blogspot.com/2024/06/the-empty-disc-illusion.html

Background & subject intersection

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Marguerites

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Another flower

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Tight light windows

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Pink mallow

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You can generate stunning images from good captures.