[sub-project] Perfect cuboid

Fehler und Wünsche zum Projekt yoyo@home
Bugs and wishes for the project yoyo@home

Re: [sub-project] Perfect cuboid

Unread postby x3mEn » 03.10.2018 08:03

First,
s.png
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and
t.png
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Man, why did you decide that these are only 2 possible cases of a, b and c representation?
There're at least 8 different cases:
CodeCogsEqn.gif
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Second,
u.PNG
u.PNG (75.6 KiB) Viewed 1143 times

How did you get this last equation?
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Re: [sub-project] Perfect cuboid

Unread postby Zak » 03.10.2018 20:29

x3mEn
First. All actions for the all eight cases will be the same because they are commutative with accurancy to designations.
Second.
00.JPG
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Re: [sub-project] Perfect cuboid

Unread postby x3mEn » 04.10.2018 08:56

v.PNG
v.PNG (61.37 KiB) Viewed 1112 times

Man, how did you get it?
CodeCogsEqn.gif
CodeCogsEqn.gif (9.04 KiB) Viewed 1112 times
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Re: [sub-project] Perfect cuboid

Unread postby Zak » 04.10.2018 10:03

x3mEn
if g - odd:
mi must be odd
ni must be even
mi>ni
ki must be odd
Try to use these conditions. You can't to use n3=1. You used the fact that the unit in any degree is equal to one.
00.JPG
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Re: [sub-project] Perfect cuboid

Unread postby x3mEn » 05.10.2018 07:19

Please explain how did you get it?
v.PNG
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And stop this style/shouting. I think I answered/asked in a normal way.
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Re: [sub-project] Perfect cuboid

Unread postby x3mEn » 05.10.2018 18:16

I decided to open source of Perfect Cuboid subproject today!
First, `cause the 3rd Batch is close to the end,
Second, `cause today's friday, the weekend begins and a lot of people have free time.
So....... the source code is here: https://github.com/renyxadarox/pcuboid
Everyone who is interested to take a part in the public code review, please join to us!
You can comment the code on github, here or join to Telegram group https://t.me/joinchat/BrFEbg7IlqMFl4PBRSdEBA for interactive discussion.
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Re: [sub-project] Perfect cuboid

Unread postby Der Diplomat » 05.10.2018 19:20

Thank you for this news. It was added to our wiki.
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Re: [sub-project] Perfect cuboid

Unread postby x3mEn » 17.10.2018 15:49

Perfect Cuboid 3rd (loooooong) Batch has finished
If a perfect cuboid exists, its body diagonal exceeds 2^53.

During this batch we were investigating the range of body diagonal from 2^51 (2'251'799'813'685'248) to 2^53 (9'007'199'254'740'992).
17'408 face cuboids,
34'816 imaginary cuboids,
156'672 twilight cuboids,
a total of 208'896 different cuboids
were found with the help of 597'095 workunits.

Thanks to everyone who helped to achieve this Great Result.
As I said before, now we put the subproject on hold for public code review.
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Re: [sub-project] Perfect cuboid

Unread postby Zak » 20.10.2018 22:14

x3mEn
Now relax...
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zzz.JPG
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Re: [sub-project] Perfect cuboid

Unread postby x3mEn » 21.10.2018 21:05

CodeCogs3.gif
CodeCogs3.gif (12 KiB) Viewed 757 times

Zak, before publish anything, please-please-please verify all your ideas on some trivial samples known as Edge and Face cuboids.
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Re: [sub-project] Perfect cuboid

Unread postby Zak » 21.10.2018 21:22

x3mEn
Excuse me, I found a mistake in my programm just now working and I got results... I wanted to write about this... So sorry. Nothing prevents a perfect brick to exist in a long values. Absolutely. Thanks for your careful.
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Re: [sub-project] Perfect cuboid

Unread postby Zak » 22.10.2018 20:18

x3mEn
Today I found something. In my humble opinion, this explains everything. Check me, please!
proof_01.JPG
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proof_02.JPG
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JING IT BABY

The page with a full proof from neighboring russian forum
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