I'm so sorry for a mistake! 144²+17²=145² equals 144² +2*144+1*1 with a²+2ad+d²=(a+d)² and 144 as "a", 1 as "d") #sharingisthenewlearning #SharingIsCaring #education #mathematics #math #maths #geometry #YangHuiTriangle #PascalTriangle

RE: https://bsky.app/profile/did:plc:omyr27fmzj3phbagch4sqyub/post/3lvax3joejs2x

How To #Polynomial W/O #Epsilon & More With a tricky formula, the 1st Shalan theorem: (d(m²-1)/2)²+d²m²=(d(m²+1)/2)² f.e. d(m²+1)/2=17 d=2,m=4 15²+8²=17² d,m=1,17 244²+17²=245² #sharingisthenewlearning #SharingIsCaring #education #mathematics #math #maths #geometry #YangHuiTriangle #PascalTriangle

RE: https://bsky.app/profile/did:plc:omyr27fmzj3phbagch4sqyub/post/3lfs3ewvqec2p

Here is a way to display the calculation of Catalan numbers in the Pascal triangle with TikZ:
#TikZ #LaTeX #Pascal #PascalTriangle

This video shows six different methods of creating the Sierpiński triangle including removing triangles, the chaos game, Pascal’s triangle mod 2, the bitwise dominance order, a ternary branching tree, and the arrowhead construction.

Six Sierpiński Triangle Constructions (visual mathematics)

#chaos #ChaosGame #ChaosTheory #dynamicalSystems #fractal #fractals #GenerativeArt #Geometry #Math #MathArt #MathematicalVisualProofs #Mathematics #nowWatching #Pascal #PascalTriangle #selfSimilar #sierpinski #SierpinskiTriangle #ternaryTrees #YouTube

Diagonals in the Pascal Triangle sums #Fibonacci numbers. #PascalTriangle