17 Squares In A Larger Square meme.

17 Squares In A Larger Square

Part of a series on Mathematics. [View Related Entries]

Updated Feb 21, 2023 at 01:03PM EST by Zach.

Added Feb 19, 2023 at 10:12AM EST by sakshi.

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About

17 Squares In A Larger Square, also known as Optimimal Packing Of 17 Equal Squares Into Larger Square, refers to discussions and math jokes made in reference to an image that shows the most efficient and compact way to fit 17 squares in a larger square. In late 2021, internet users first began to discuss the math problem due to its solution being arguably aesthetically unappealing. Memes about the math problem then started to circulate on Twitter in February 2023.

Origin

On December 10th, 2021, Twitter[1] user @KangarooPhysics posted a series of tweets about "The best known packings of N equal circles into a square and a circle." The initial tweet in the thread gathered over 1,000 likes in roughly a year (seen below, left). The sixth tweet[2] in the thread was also posted on December 10th and read, "Seeing that this is the best way we know to fit this many equal squares inside a square makes me feel a bit better about struggling to fit the plates in the dishwasher!" and gathered over 2,700 likes in a similar timeframe (seen below, right).


Daniel Piker @Kangaroo Physics Dec 10, 2021 The best known packings of N equal circles into a square and a circle. 20 4 25 7 61 t 281 9 36 ● 91 16 19 37 1,564 49 127 la ↑ Daniel Piker @KangarooPhysics Seeing that this is the best way we know to fit this many equal squares inside a square makes me feel a bit better about struggling to fit the plates in the dishwasher! 17. S s = 4.675+ Found by John Bidwell in 1997. 5:14 AM Dec 10, 2021 :

Spread

On December 11th, 2021, Twitter[3] user @eigenrobot quote tweeted the aforementioned tweet saying, "vaguely offensive act by God if this holds up," and gathering over 700 likes in over a year (seen below, left). On December 12th, Twitter[4] user @arborelia posted a tweet that read, "you can feel the results of this problem in your soul. You look at the optimal packing of 28 squares in a square and say, oh that's nice, what an ingenious and satisfying solution / and then you see 17 squares and you're like, how could a caring god do this to their universe." The tweet gathered over 2,800 likes in over a year (seen below, right).


eigenrobot @eigenrobot Dec 11, 2021 vaguely offensive act by God if this holds up Daniel Piker @Kangaroo Physics · Dec 10, 2021 Seeing that this is the best way we know to fit this many equal squares inside a square makes me feel a bit better about struggling to fit the plates in the dishwasher! Show this thread 17. O 48 S = 4.675+ Found by John Bidwell in 1997. 1 45 736 da ↑ : arborelia is leaving @arborelia you can feel the results of this problem in your soul. You look at the optimal packing of 28 squares in a square and say, oh that's nice, what an ingenious and satisfying solution and then you see 17 squares and you're like, how could a caring god do this to their universe 17. s = 3+2√2 = 5.828+ ALT Found by Frits Göbel 3:59 AM · Dec 12, 2021 s = 4.675+ Found by John Bidwell in 1997. ALT 887 Retweets 75 Quote Tweets 2,869 Likes : ...

On February 14th, 2023, Twitter[5] user @KangarooPhysics reposted the subject matter in their original tweet with a higher resolution, saying "The optimal known packing of 17 equal squares into a larger square – i.e. the arrangement which minimises the size of the large square." The tweet gathered over 35,000 likes in nearly a week (seen below, left). The thread by user[6] @KangarooPhysics also contained a tweet that read, "Also – it's not that there aren't any symmetric arrangements possible for 17. It's just that they're not as compact as the one on the right." The tweet gathered over 400 likes in five days (seen below, left).


Daniel Piker @KangarooPhysics The optimal known packing of 17 equal squares into a larger square - i.e. the arrangement which minimises the size of the large square. 2:47 PM. Feb 14, 2023 4.4M Views : 2,618 Retweets 1,118 Quote Tweets 35.4K Likes Daniel Piker @KangarooPhysics : Also - it's not that there aren't any symmetric arrangements possible for 17. It's just that they're not as compact as the one on the right. 3:30 AM. Feb 18, 2023 46.6K Views

Various Examples


Nathan @NathanpmYoung god is dead and the most efficient way to pack 17 squares into a square killed him 17. s = 4.675+ Found by John Bidwell in 1997. : 4:46 AM Feb 15, 2023 1.3M Views es's half-assed math class @iceomorphism to those of you upset by the messy optimal solution for packing 17 squares in a square, i would like to inform you that packing 19 circles in a circle produces this instead the sides of every square/triangle here are equal in size, so they're all perfectly symmetric! ALT : 9:24 AM. Feb 18, 2023 49.9K Views Rob Miles @robertskmiles My therapist: You need to stop fixating on the optimal way to fit 17 squares into a bigger square. It's not real and it can't hurt you. The optimal way to fit 17 squares into a bigger square: 7:29 AM · Dec 11, 2021 326 Retweets 18 Quote Tweets 1,288 Likes
rezuaq, @Rezuaq : The optimal known packing of 16 equal squares into a larger square - i.e. the arrangement which minimises the size of the large square. 2:25 AM. Feb 19, 2023 321.1K Views Lynn @chordbug this is the optimal way to pack 17 squares in a larger square. I promise ALT 8=4+2 6:58 AM. Feb 18, 2023 355.8K Views :

Search Interest

Unavailable.

External References

[1] Twitter – KangarooPhysics

[2] Twitter – KangarooPhysics

[3] Twitter – eigenrobot

[4]  Twitter – arborelia

[5] Twitter – KangarooPhysics

[6] Twitter – KangarooPhysics

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Recent Images 16 total


Top Comments

Charmielius
Charmielius

Come now the solution is simple: just place the squares within the allowed area and fill the remaining area with packing foam, that way you fill the container completely and if there's any bumps during transit the squares within will face virtually no damage.

We are trying to optimize storage space right? This isn't just a pointless exercise with no real world application right?

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