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This puzzle continues on the trend of connect-walls (a bit late for the Topic Challenge #42, I'm afraid), but with some twists.

First, it's a double connect-wall! The following image can be separated in 4 groups of 4 squares... but in two ways. After finding these groupings, you'll have to rearrange the squares in columns and rows according to these groups and the clues under the image. And then, I'll want a name, and why this name is relevant to this puzzle.


Four by four grid of squares, where each cell has a central large number and a smaller upper-right corner number. Each parentheses corresponds to a particular cell. With the larger number listed first, the values reading left-to-right and then top-to-bottom are: (1021958, 0), (2051729, 6), (3111852, 1), (4041866, 8), (4101957, 4), (6081945, 1), (9011932, 0), (11021970, 1), (12021809, 2), (14072002, 6), (14101912, 0), (18051980, 1), (21092001, 2), (22111890, 5), (26111965, 9), (30061908, 7)

Rows: Failed beginning of heavenly rapid expansion
Columns: Rising mother dream kiss


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These are all

dates of historical events!

They are grouped as follows:

* The dates national leaders were born
* The dates explosions(both natural and non-natural) happened
* The dates satellites first were launched in space
* The dates failed assassination attempts occurred

After groupoing these, you'll notice

that these events are all either french, american(USA), japanese, russian. So the next step will be to group these country by country.

Here's an image of my result:

enter image description here The last square, I obtained from the given clues. Rows(in order): Failed(from failed assassinat.), Beginning(from date of birth), of Heavenly(from satellite), Rapid expansion(from explosion). Columns(in order): Rising(from Rising sun, implying Japan), Mother(from Mother Russia), dream(from American dream), kiss(from French kiss).

Now, looking at this new square's numbers, they seem to represent

The years 806, 1625, 1409, 1712. I have seen some connections between them but nothing that has given me an "AHA!-reaction". Maybe someone in here can finish this last step!

EDIT: Thanks @Prince deepthinker!

- The numbers on the last grid are the exact date of birth and death (8th June 1625 - 14th September 1712) of the Italian mathematician Giovanni Domenico Cassini!. Also, how he is connected to this puzzle beacuase it involves 1) His date of birth 2) He was also an astronomer and has a launched satellite named after him. 3) He worked for King Louis XIV who also happened to have an assassination attempt on him. 4) He's a mathematician and this is a number-puzzle :)

Note:

The grid to the left were just simple notations to remember them. Also, I will add/edit more details a bit later when I have more time.

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    $\begingroup$ Nice work :) Another possibility for the next step - rot13(vafgrnq bs lrnef, lbh zvtug unir 8 cnvef bs 2-qvtvg ahzoref pbeerfcbaqvat guebhtu N1M26 gb yrggref bs gur nycunorg - gur ahzoref pregnvayl frrz gb or va gur evtug xvaq bs enatr, nygubhtu lbh znl arrq gb fjnc fbzr ebjf/pbyhzaf gb trg nalguvat zrnavatshy...?) Just an idea at this stage, nothing more... $\endgroup$
    – Stiv
    Nov 24, 2020 at 12:40
  • $\begingroup$ Thx :).. Hmm, i'll check $\endgroup$ Nov 24, 2020 at 12:45
  • $\begingroup$ Giovanni Domenico Cassini: Look at his birth and death dates. 08/06/1625 - 14/09/1712 $\endgroup$
    – PDT
    Nov 24, 2020 at 13:14
  • $\begingroup$ Ha, so I was half right! :) $\endgroup$
    – Stiv
    Nov 24, 2020 at 13:20
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    $\begingroup$ Great job! And as Stiv pointed out, the relation to Saturn unlocks even more connections ;) $\endgroup$
    – Keelhaul
    Nov 24, 2020 at 14:23

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