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/sci/ - Science & Math

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9512743 No.9512743 [Reply] [Original]

I saw this interesting geometry puzzle, but I am stuck:

Is it possible to partition a square into finitely many triangles such that no two triangles share a side?

Can any one give me some pointers?

>> No.9512787
File: 2 KB, 210x160, eafe129e295be4c11e798c895.gif [View same] [iqdb] [saucenao] [google]
9512787

>>9512743
Since a square is topologically equivalent to a triangle, we are done.

>> No.9512794

>>9512743
not without empty space
if you cut a triangle to make two new triangles the line you cut across is where the two triangles now share a side

>> No.9512801

>>9512787
all of those triangles are sharing a side, unless OP meant sides of the square

>> No.9512812
File: 52 KB, 671x473, dumb wojack.png [View same] [iqdb] [saucenao] [google]
9512812

>>9512801
>all of those triangles are sharing a side

>> No.9512815

>>9512743
Holy shit, if that a fucking goat tower?

>> No.9512829

>>9512787
>a square is topologically equivalent to a triangle
But can you map triangles to triangles?