Differences

This shows you the differences between two versions of the page.

--- magicsquare6 [2024/06/27 19:37] – [Storategies and Codes] mino
+++ magicsquare6 [2025/08/15 14:08] (current) – [The number of magic squares of order six counted up to rotations and reflections] mino
@@ Line 1: / Line 1: @@
+__[[magicsquare6-j|Move to the Japanese page]]__
 ===== The number of magic squares of order six counted up to rotations and reflections =====
 <file - nms6.txt>
@@ Line 4: / Line 6: @@
 </file>
-This number has been confirmed by completing the enumeration twice using hundreds of GPUs at cloud resource rental services. Though the number and models of GPUs used varied over time, the initial enumeration took about 80,000 hours of GeForce RTX-4090 and the second enumeration with an improved code took about 54,000 hours.
+[[https://www.youtube.com/playlist?list=PLO7sVdtn8C_Dg5_JHmelPUmDpI6LZqzBM|YouTube video]] explaining the method to achieve the enumeration.  [[https://ms6.sakura.ne.jp/Manuscript.pdf|manuscript]]  [[https://ms6.sakura.ne.jp/Algorithm.pdf|presentation slides]]
+This number has been confirmed by completing the enumeration twice using hundreds of GPUs provided at cloud resource rental services. Though the number and models of GPUs used varied over time, the initial enumeration took about 80,000 hours of GeForce RTX-4090 and the second enumeration with an improved code took about 54,000 hours.
 As the result of the second enumeration, the initial result 17 753 889 189 701 384 304
@@ Line 46: / Line 50: @@
   * [[https://ms6.sakura.ne.jp/subsubtotal.txt.gz|List of subsubtotals]] (234MBytes .gz)
     * (18 of sub-subtoals are known to be incorrect, but are kept uncorrected intentionally.)
- ===== Storategies and Codes =====
+ ===== Strategies and codes =====
 [[strategies|Strategies in counting magic squares]]
@@ Line 52: / Line 56: @@
  [[ms-20240504.cu|CUDA code]] (corrected on 2023.11.28 and updated on 2024.05.04)
   * Counts magic squares of an order from 3 to 6 up to [[https://oeis.org/A266237|M-transformations]].
-  * Runs at a typical speed of 3.8G counts/sec (90G squares/sec) on Nvidia GeForce RTX-4090 for order 6.
+  * Runs at a typical speed of 3.8G counts/sec (91G magic squares/sec) on Nvidia GeForce RTX-4090 for order 6.
   * Nvidia GPU of Pascal architecture (sm_60) or newer is assumed.
   * Multi GPU systems are supported. **[[https://forums.developer.nvidia.com/t/system-wide-atomic-operation-failure-on-multi-4090-systems/243273| Be cautious, however, when you use a multi-4090 system ]]**.