Higher Dimensions Geometry
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Ali Adams
Dec 3, 2019, 6:25:13 PM12/3/19
to haifeng
Peace to you dear brother HaiFeng and all good people like you in China :)
The following video might be related to your field of research.
Note 1: Time 18:05
Sphere Volume v. Cube Volume in Higher Dimensions
Note 2: Time 19:27
Penny Packing Problem in Higher Dimensions
Note 1
Time 18:05
The volume of the central sphere touching all inner spheres in a unit cube starts to become more than the volume of the cube at dimension 262 or higher.
262 is the sum of letter occurrences of verse #1 in chapter #1 (The Key).
Download QuranCode open-source software from http://qurancode.com to verify it yourself.
Note 2
Time 19:27
Penny Packing Problem at dimension and higher
In 3D the least wrapping surface for N spheres is when they are aligned together along a single line. However when N >= 57, the least wrapping surface is when they are clustered into 3D regular polygons.
The Quran has 114 chapters and chapter #57 (Iron) is the most stable chapter when sorting a table by multiplication column of chapter number x chapter verses in ascending and descending orders.
The Excel file for the above table is attached.
Peace,
Ali
God >> infinity
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