## [sub-project] Perfect cuboid

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

### Re: [sub-project] Perfect cuboid

First,
s.png (45.34 KiB) Viewed 1885 times

and
t.png (43.66 KiB) Viewed 1885 times

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 (5.49 KiB) Viewed 1880 times

Second,
u.PNG (75.6 KiB) Viewed 1885 times

How did you get this last equation?
x3mEn
XBOX360-Installer

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Joined: 20.03.2011 22:23

### Re: [sub-project] Perfect cuboid

x3mEn
First. All actions for the all eight cases will be the same because they are commutative with accurancy to designations.
Second.
00.JPG (39.22 KiB) Viewed 1870 times
Zak
Prozessor-Polier

Posts: 107
Joined: 04.11.2017 12:27

### Re: [sub-project] Perfect cuboid

v.PNG (61.37 KiB) Viewed 1854 times

Man, how did you get it?
CodeCogsEqn.gif (9.04 KiB) Viewed 1854 times
x3mEn
XBOX360-Installer

Posts: 99
Joined: 20.03.2011 22:23

### Re: [sub-project] Perfect cuboid

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 (27.44 KiB) Viewed 1818 times
Zak
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Posts: 107
Joined: 04.11.2017 12:27

### Re: [sub-project] Perfect cuboid

Please explain how did you get it?
v.PNG (61.37 KiB) Viewed 1782 times

And stop this style/shouting. I think I answered/asked in a normal way.
x3mEn
XBOX360-Installer

Posts: 99
Joined: 20.03.2011 22:23

### Re: [sub-project] Perfect cuboid

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.
x3mEn
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Joined: 20.03.2011 22:23

### Re: [sub-project] Perfect cuboid

Thank you for this news. It was added to our wiki.

Der Diplomat
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Location: Coburg

### Re: [sub-project] Perfect cuboid

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.
x3mEn
XBOX360-Installer

Posts: 99
Joined: 20.03.2011 22:23

### Re: [sub-project] Perfect cuboid

x3mEn
Now relax...
xxx.JPG (44.71 KiB) Viewed 1522 times

zzz.JPG (13.98 KiB) Viewed 1517 times
Zak
Prozessor-Polier

Posts: 107
Joined: 04.11.2017 12:27

### Re: [sub-project] Perfect cuboid

CodeCogs3.gif (12 KiB) Viewed 1499 times

x3mEn
XBOX360-Installer

Posts: 99
Joined: 20.03.2011 22:23

### Re: [sub-project] Perfect cuboid

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.
Zak
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Posts: 107
Joined: 04.11.2017 12:27

### Re: [sub-project] Perfect cuboid

x3mEn
Today I found something. In my humble opinion, this explains everything. Check me, please!
proof_01.JPG (45.18 KiB) Viewed 1460 times

proof_02.JPG (41.93 KiB) Viewed 1460 times

JING IT BABY

The page with a full proof from neighboring russian forum
Zak
Prozessor-Polier

Posts: 107
Joined: 04.11.2017 12:27

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