Pi from a Toothpick
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- Опубликовано: 9 сен 2024
- Estimate the value of pi using a toothpick!
Want the full details as to why throwing a toothpick on a lined piece of paper gives you an estimate of the value of pi? Then see this video from Numberphile:
• Pi and Buffon's Matche...
#pi #piday #valueofpi
I see what you did there with the video length :)
3:14=3.14159
Thanks for putting so much effort in creating a video with the exact video length of 3 minutes and 14.1592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682 seconds, it must have took several attempts.
I remember watching your science video years ago just before passing my 10th grade, now I am an Engineer. Blessings to have find you again ♥️ You were a big reason of me choosing science, thank you so much ♥️ (Sorry if my English is bad)
Wow... that's really nice of you to say. Glad that our videos were able to have some effect. Congratulations on becoming an engineer!
Great 👍
This one is really informative 🔥🔥
Mr. Mittens is adorable!
At first, I legit thought you were going to build a raspberry pi case from toothpicks or something
Okay... that would have been cool.
Nice video length
I wish my match class was like this
Wow what a cat! My favorite breed .
Yass love the video length lol
🙂
That is either a fairly large cat or a somewhat small woman.
It would be cool if Mr. Mittens was born on March 14...or measured 31.4cm or some other connection! Great job! I love the video length too...
Happy 14 march! pi day
WoW a video of only *pie* minutes
Your video length was also 3:14 !!!! Nice
Since we've set this precedent, we'll never be able to do a video about e.
The channel just also happens to have 314K subscribers...
@@JeffersonLab wow! Great...
e= 2.71 => we can displace the decimal point to give 27.1 or just substract 60 sec from second slot to first will be give 3.11
3min 14sec. Ya!!
to be honest the only best thing I liked in this video is the video length.... rest all gone above my head....
Even without understanding the math, you should be able to see why the angle matters. If the toothpick happens to fall close to a line, then pretty much any amount of 'tilt' will cause it to cross the line. The angle needs to be steeper as the distance between the toothpick and a line increases. At some point, the toothpick is too far from the line to cross, no matter what the angle is (that point being when the center of the toothpick is more than one-half the toothpick's length away from a line).
That the value tends towards pi, and not some multiple or fraction of pi, has to do with the spacing of the lines. Placing the lines 'two toothpick lengths apart' is the condition that needs to be set if you want the result to tend towards pi.
This general problem is called Buffon's Needle. You can Google that if you want more information.
Way to "accidentally" have such a duration. I mean, I noticed and said it before watching. It was pretty obvious.
Funny thing - the first cut was short by three seconds and fourteen frames.
i love the concept but I feel the explanation was pretty weak. you may have gotten the explanation correct but your subsequent break down and explanation could have been more detailed ... I don't feel like a grasped the why the mathematical explanation describes the effect.. other than that there is some relationship to a angle produced by a toothpick falling I have no understanding of this function after watching the video to the end..
That's why we provided a link to Nuberphile's video. We figured we'd let the mathematicians explain the mathematics.
That's why they referenced Numberphile. In my book, they achieved their goal. I loved it! My students loved it too.
Happy Pi Day!
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