[sub-project] Perfect cuboid

Fehler und Wünsche zum Projekt yoyo@home
Bugs and wishes for the project yoyo@home
Message
Author
x3mEn
XBOX360-Installer
XBOX360-Installer
Posts: 99
Joined: 20.03.2011 22:23

Re: [sub-project] Perfect cuboid

#217 Unread post by x3mEn » 03.10.2018 08:03

First,
s.png
s.png (45.34 KiB) Viewed 2285 times
and
t.png
t.png (43.66 KiB) Viewed 2285 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
CodeCogsEqn.gif (5.49 KiB) Viewed 2280 times
Second,
u.PNG
u.PNG (75.6 KiB) Viewed 2285 times
How did you get this last equation?

Zak
Prozessor-Polier
Prozessor-Polier
Posts: 107
Joined: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#218 Unread post by 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
00.JPG (39.22 KiB) Viewed 2270 times

x3mEn
XBOX360-Installer
XBOX360-Installer
Posts: 99
Joined: 20.03.2011 22:23

Re: [sub-project] Perfect cuboid

#219 Unread post by x3mEn » 04.10.2018 08:56

v.PNG
v.PNG (61.37 KiB) Viewed 2254 times
Man, how did you get it?
CodeCogsEqn.gif
CodeCogsEqn.gif (9.04 KiB) Viewed 2254 times

Zak
Prozessor-Polier
Prozessor-Polier
Posts: 107
Joined: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#220 Unread post by 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
00.JPG (27.44 KiB) Viewed 2218 times

x3mEn
XBOX360-Installer
XBOX360-Installer
Posts: 99
Joined: 20.03.2011 22:23

Re: [sub-project] Perfect cuboid

#221 Unread post by x3mEn » 05.10.2018 07:19

Please explain how did you get it?
v.PNG
v.PNG (61.37 KiB) Viewed 2182 times
And stop this style/shouting. I think I answered/asked in a normal way.

x3mEn
XBOX360-Installer
XBOX360-Installer
Posts: 99
Joined: 20.03.2011 22:23

Re: [sub-project] Perfect cuboid

#222 Unread post by 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.

User avatar
Der Diplomat
Powerknopf-Verweigerer
Powerknopf-Verweigerer
Posts: 1463
Joined: 21.07.2001 01:00
Location: Coburg

Re: [sub-project] Perfect cuboid

#223 Unread post by Der Diplomat » 05.10.2018 19:20

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

x3mEn
XBOX360-Installer
XBOX360-Installer
Posts: 99
Joined: 20.03.2011 22:23

Re: [sub-project] Perfect cuboid

#224 Unread post by 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.

Zak
Prozessor-Polier
Prozessor-Polier
Posts: 107
Joined: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#225 Unread post by Zak » 20.10.2018 22:14

x3mEn
Now relax...
xxx.JPG
xxx.JPG (44.71 KiB) Viewed 1922 times
zzz.JPG
zzz.JPG (13.98 KiB) Viewed 1917 times

x3mEn
XBOX360-Installer
XBOX360-Installer
Posts: 99
Joined: 20.03.2011 22:23

Re: [sub-project] Perfect cuboid

#226 Unread post by x3mEn » 21.10.2018 21:05

CodeCogs3.gif
CodeCogs3.gif (12 KiB) Viewed 1899 times
Zak, before publish anything, please-please-please verify all your ideas on some trivial samples known as Edge and Face cuboids.

Zak
Prozessor-Polier
Prozessor-Polier
Posts: 107
Joined: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#227 Unread post by 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.

Zak
Prozessor-Polier
Prozessor-Polier
Posts: 107
Joined: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#228 Unread post by Zak » 22.10.2018 20:18

x3mEn
Today I found something. In my humble opinion, this explains everything. Check me, please!
proof_01.JPG
proof_01.JPG (45.18 KiB) Viewed 1860 times
proof_02.JPG
proof_02.JPG (41.93 KiB) Viewed 1860 times
JING IT BABY

The page with a full proof from neighboring russian forum

Post Reply

Return to “Fehler, Wünsche / Bugs, Wishes”