magic cube!!!!!!!!!!!

For discussing Olympiad Level Combinatorics problems
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Tahmid Hasan
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magic cube!!!!!!!!!!!

Unread post by Tahmid Hasan » Tue Feb 08, 2011 7:12 pm

i have come up with a bizarre idea!!!!
i thought about making a rubik's cube that has numbers written on them from 1-54.one has to arrange the cube such has every 1 of the 6 sides of the cube satisfies the condition of a magic square.
is it even possible?has someone already invented it?
how many combinations are possible?
বড় ভালবাসি তোমায়,মা

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Moon
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Re: magic cube!!!!!!!!!!!

Unread post by Moon » Tue Feb 08, 2011 7:56 pm

Discussion in FB:

Fahim Ferdous Neerjhor February 7 at 11:51am Reply • Report
It's really bizarre! :-)
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Kazi Hasan Zubaer February 7 at 12:57pm Reply • Report
আসল কিউবের সাথে তো তেমন কোন পার্থক্য নাই। কিউবকে একটা নির্দিষ্ট অবস্থায় আনতে হবে যেইটা আসল কিউবেও করা হয়। তুমি কি জানতে চাচ্ছ যে ১-৫৪ পর্যন্ত সংখ্যাগুলা দিয়ে ৬ টা ৩x৩ ম্যাজিক বর্গ বানানো যায় নাকি? উত্তর: যায়। নিজে প্রমাণ করার চেষ্টা কর।

Tanvir Ahamed Bhuyain February 7 at 12:59pm Reply • Report
আসল কিউবের সাথে পার্থক্য তৈরি হইতে পারে। ১-৫৪ দিয়া ছয়টা ম্যাজিক বর্গ তৈরির একাধিক উপায় থাকতে পারে। সেইক্ষেত্রে আসল কিউবের চেয়ৈ সহজ হইয়া যাবে।

Hasib Al Muhaimin February 7 at 3:24pm Reply • Report
m theke (m+8) porjonto sonkha gula diya alltime 3x3 magic square toiri kora jay
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Jishnu Banerjee February 7 at 4:45pm Reply • Report
seta m theke (m+8 ) nao hote pare......songkha ta bivinno rokom-o hote pare......

Hasib Al Muhaimin February 7 at 4:47pm Reply • Report
hmmm, m theke m+8 carao crt kora jay
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

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Hasib
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Re: magic cube!!!!!!!!!!!

Unread post by Hasib » Tue Feb 08, 2011 8:45 pm

dont forget to add up this condition(this make the problem more complicated ;) :P)

every side shouldn't contain the numbers from the set in one-to-one correspondence: $\{m, (m+1),(m+2),,,(m+8)\}$ :evil: ;)
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rakeen
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Re: magic cube!!!!!!!!!!!

Unread post by rakeen » Sat May 21, 2011 7:52 pm

@moon vaiya thnx for 'sharing' those "shared" posts in FB.

@Tahmid yes it is possible! And to know how many combinations are possible see my post(Rubics Cube Patterns) on the combi section.
On thursday(and friday also!) I spend all day(literally) to solve my cube(seeing algorithms ofcourse). And every time I tried it seems like...
yes just a few steps away...but at the end I made it all messed up.(pore obosso raage bhenge milaisi :D

@Tanvir vaiya Rubics Cube theke jiboneo sohoj hobe na! Coz first you have to make all 6 magic cube in hand. Then you've to put those numbers in the cube.

@Jishnu yes, it could be another number too. But tahmid said it is 1-54 ;).

And HASIB made the CRUX point. You CANT just put numbers any where in the cube. Because, it might make your cube not belonging to the "universe of cube". see more here ( combinatorics>"huh! Take That!(Rubic)" )
:P
r@k€€/|/

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