hard square q | Mathematics | Page 1

crystal ingotBOT Dec 5, 2023, 8:10 PM

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Wait patiently for a helper to come along.
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Do not ping the mods, unless someone is breaking the rules.
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

#

Wait patiently for a helper to come along.
Once someone helps you, say thank you and close the thread with:

+close

Feel free to nominate the person for helper of the week in #helper-nominations
Do not ping the mods, unless someone is breaking the rules.
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

sick torrent Dec 5, 2023, 8:47 PM

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this is the only arrangement ive found that works

marsh cipher Dec 5, 2023, 9:07 PM

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This one’s not. For the faint hearted.

marsh cipher Dec 5, 2023, 9:43 PM

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Anyone who can answer this please help. It’s legitimately impossible..

arctic plinth Dec 5, 2023, 10:56 PM

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ok

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it’s not that hard, just solve for A3 and A1 in terms of A2 or whatever and then you get 2 obvious endpoints which are both satisfiable

marsh cipher Dec 5, 2023, 11:06 PM

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arctic plinth it’s not that hard, just solve for A3 and A1 in terms of A2 or whatever and then...

I have tried and tried and tried again but never got it for the past 6 hrs

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Can you please pitch in and bring us to a solution if you don’t mind. It’s really difficult

arctic plinth Dec 5, 2023, 11:07 PM

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marsh cipher I have tried and tried and tried again but never got it for the past 6 hrs

oh dear

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ok do you have the 2 equations involving A1, A2, A3

marsh cipher Dec 5, 2023, 11:07 PM

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Me and xenon have been doing it

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@sick torrent

arctic plinth Dec 5, 2023, 11:07 PM

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i don’t think xenon has been doing it

marsh cipher Dec 5, 2023, 11:08 PM

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Yeah he has 🙏

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He’s been helping me

arctic plinth Dec 5, 2023, 11:08 PM

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oh ok

sick torrent Dec 5, 2023, 11:08 PM

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arctic plinth i don’t think xenon has been doing it

wtf do you mean

arctic plinth Dec 5, 2023, 11:08 PM

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~~xenon what are you doing not solving this~~

sick torrent Dec 5, 2023, 11:08 PM

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ive been trying this question for like 4 hours

marsh cipher Dec 5, 2023, 11:08 PM

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Too hard bruh

arctic plinth Dec 5, 2023, 11:08 PM

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rip

arctic plinth Dec 5, 2023, 11:08 PM

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arctic plinth ok do you have the 2 equations involving A1, A2, A3

^

sick torrent Dec 5, 2023, 11:08 PM

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yup

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A1 + A2 + A3 = S

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omg bruh

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no

arctic plinth Dec 5, 2023, 11:09 PM

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no not that one

sick torrent Dec 5, 2023, 11:09 PM

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obv i know the value of S here

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the point is to find the maximum and minimum S

arctic plinth Dec 5, 2023, 11:09 PM

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the other 2 eqns

sick torrent Dec 5, 2023, 11:09 PM

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which is just... impossible clearly

arctic plinth Dec 5, 2023, 11:09 PM

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wat

sick torrent Dec 5, 2023, 11:09 PM

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A1 A2 and A3 are in an arithmetic progression

arctic plinth Dec 5, 2023, 11:10 PM

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arctic plinth the other 2 eqns

-arithmetic progression
-original squares summed to 100

sick torrent Dec 5, 2023, 11:10 PM

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so A1 = a, A2 = a+d, A3= a+2d

sick torrent Dec 5, 2023, 11:10 PM

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arctic plinth -arithmetic progression -original squares summed to 100

yes ive already tried sum of arithmetic progression

arctic plinth Dec 5, 2023, 11:10 PM

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confused face

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here is what i did

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A1 + 2A2 + 3A3 = 100, A1 + A3 = 2A2

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observe that S is 3A2

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we can so change maximizing S to maximizing A2

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lmk if you need more ideas

marsh cipher Dec 5, 2023, 11:13 PM

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arctic plinth Dec 5, 2023, 11:14 PM

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or so ive heard

marsh cipher Dec 5, 2023, 11:14 PM

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I’m finished

arctic plinth Dec 5, 2023, 11:14 PM

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you solved it?

sick torrent Dec 5, 2023, 11:14 PM

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you did?

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i couldnt

marsh cipher Dec 5, 2023, 11:14 PM

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No

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I mean like my life is over

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This question immobilised my brain

arctic plinth Dec 5, 2023, 11:15 PM

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f

marsh cipher Dec 5, 2023, 11:15 PM

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@sick torrent do you know what to do with the info

sick torrent Dec 5, 2023, 11:15 PM

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no ive already tried this lmao

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probs one of the first things ive tried

arctic plinth Dec 5, 2023, 11:16 PM

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maybe i’m wrong

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is this really a school problem

marsh cipher Dec 5, 2023, 11:16 PM

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@arctic plinth what was your solution?

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Yeh

arctic plinth Dec 5, 2023, 11:16 PM

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what course would have this

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problem solving class?

marsh cipher Dec 5, 2023, 11:16 PM

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maths BMO1 practice. Stuff

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yeah it’s difficult

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What was your solution so

arctic plinth Dec 5, 2023, 11:17 PM

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bmo practice inside school?

marsh cipher Dec 5, 2023, 11:17 PM

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Me. And xenon can see. If we got the same stuff

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Na outside and inside

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3(100-b^2-c^2) - (100 - b^2 - c^2)

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Potentially

arctic plinth Dec 5, 2023, 11:20 PM

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arctic plinth A1 + 2A2 + 3A3 = 100, A1 + A3 = 2A2

here we go
A3 = 2A2 - A1
A1 + 2A2 + 6A2 - 3A1 = 100
4A2 - A1 = 50
A1 = 4A2 - 50
A3 = 50 - 2A2
now, clearly A2 is between 12.5 and 25
12.5 case is where A1 = 0, A3 is 25, which is where 2 of the squares are identical and the 3rd is smaller and inside
25 case is where A1 = 50, A3 = 0, which is where the squares are all same side and aligned in a row, with only double-layer thickness

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so Smax = 75, Smin = 37.5

marsh cipher Dec 5, 2023, 11:23 PM

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I did this, but the answer isn’t 37.5.

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This was the first thing I did when I attempted this q.

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It’s very difficult.

arctic plinth Dec 5, 2023, 11:24 PM

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hmmm

sick torrent Dec 5, 2023, 11:24 PM

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ikr

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fucking impossible

arctic plinth Dec 5, 2023, 11:25 PM

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so one of 12.5, 25 is actually not achievable?

marsh cipher Dec 5, 2023, 11:25 PM

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idek bruh

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this q has beeen solved by a few in my class

arctic plinth Dec 5, 2023, 11:25 PM

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what is the answer

marsh cipher Dec 5, 2023, 11:26 PM

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too bad they are all nooby Rubik’s cube champion solvers so they won’t gimme the damn answers

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These mfs compete in Rubik’s cubes, COMPETITIVELY. I asked him one time in class for some help on the integration question and BLUD MOVED ENTIRE TABLES

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and reported me to my tutor for bullying

arctic plinth Dec 5, 2023, 11:27 PM

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wow, blud moved tables?

marsh cipher Dec 5, 2023, 11:28 PM

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bro went to MY form tutor and said i’m bullying him and ruining his privacy.

arctic plinth Dec 5, 2023, 11:28 PM

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i don’t see what rubiks cube competition has to do with anything

marsh cipher Dec 5, 2023, 11:28 PM

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nah like they super super tight about everything

arctic plinth Dec 5, 2023, 11:28 PM

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yeah rubiks cube solvers famous for lying

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well, until i am demonstrated to be wrong, i will consider myself right

marsh cipher Dec 5, 2023, 11:29 PM

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Fr? I asked my brother to help and he said he has no clue what to do

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okays i’ll try to work it thru w xenon sometime tmr. thanks though!

sick torrent Dec 5, 2023, 11:32 PM

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crazy

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i remember speedcubing

rose mango Dec 6, 2023, 2:03 AM

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why’d you delete it :(

#hard square q