Gabe Bell@lemmy.world to tumblr@lemmy.worldEnglish · 3 months agoTIL something that is mind blowing yet totally uselesslemmy.worldimagemessage-square53fedilinkarrow-up1722arrow-down18
arrow-up1714arrow-down1imageTIL something that is mind blowing yet totally uselesslemmy.worldGabe Bell@lemmy.world to tumblr@lemmy.worldEnglish · 3 months agomessage-square53fedilink
minus-squareSuperSpruce@lemmy.ziplinkfedilinkarrow-up17·3 months agoIs this a general rule? Because with my primitive checking, all sum of first n cubes add to the square of a triangle number. 1^2 = 1^3 = 1 (1+2)^2 = 1^3 + 2^3 = 9 (1+2+3)^2 = 1^3 + 2^3 + 3^3 = 36 …
minus-squarepruwyben@discuss.tchncs.delinkfedilinkarrow-up12·3 months agoHuh, looks like it’s true! https://blog.keithmcnulty.org/a-fascinating-fact-about-the-sum-of-cubes-48647c40d852
minus-squareOpisek@lemmy.worldlinkfedilinkarrow-up3·3 months agoPaywall. But I did prove it myself for fun and it is indeed true :D
minus-squareAlfredolin@sopuli.xyzlinkfedilinkEnglisharrow-up1arrow-down5·3 months agoNext one is not.
minus-squareitslilith@lemmy.blahaj.zonelinkfedilinkarrow-up10·3 months agoYeah it is, (1+2+3+4)² = 10² = 100 = 1+8+27+64 = 1³+2³+3³+4³
Is this a general rule? Because with my primitive checking, all sum of first n cubes add to the square of a triangle number.
1^2 = 1^3 = 1
(1+2)^2 = 1^3 + 2^3 = 9
(1+2+3)^2 = 1^3 + 2^3 + 3^3 = 36
…
Huh, looks like it’s true!
https://blog.keithmcnulty.org/a-fascinating-fact-about-the-sum-of-cubes-48647c40d852
Paywall. But I did prove it myself for fun and it is indeed true :D
Next one is not.
Yeah it is, (1+2+3+4)² = 10² = 100 = 1+8+27+64 = 1³+2³+3³+4³