Square Chapters Pattern

[Ali Adams]

Dear Dr Haifeng Xu and Zuyi Zhang,

Thank you for your last email with the approximation of Euler Number (e ~= 2.71828...) from the 114 number of verses (aya) per chapter (sura). It was interesting but not as close as the golden ratio (phi ~= 1.618) from the same numbers. Here is an up-to-date version of http://heliwave.com/114.txt

GOOD NEWS :)

The reason I am writing to you is because brother Sabri Ibraheem has found something news and very interesting about some of these 114 numbers (chapters with square numbers (1, 4, 9, 16, 25, 36, 49, 64, 81, 100) have a square sum of verses (7+176+129+128+77+83+18+18+29+11 = 767 = 26^2) and square sum of digit sums too (7+14+12+11+14+11+9+9+11+2 = 100 = 10^2) where 26+10=36 and 26-10=16 are also squares.

Name	Chapter	Verses	DigitSum
الفاتحة	1	7	7
النساء	4	176	14
التوبة	9	129	12
النحل	16	128	11
الفرقان	25	77	14
يس	36	83	11
الحجرات	49	18	9
التغابن	64	18	9
التكوير	81	29	11
العاديات	100	11	2
Sum	385	676	100
Factors	5 * 7 * 11	26 * 26	10 * 10
Sqrt Sum	26 + 10	36	6 * 6
Sqrt Diff	26 -- 10	16	4 * 4

Also, brother Hatim Zaghloul has found that the difference between these two squares (767 - 100 = 576) is also a square (24^2).

All details are in the attached Excel file.

I hope this can help us understand the 114 numbers of verses in each chapter of the Quran better.

I tried all polygons (with all 3 >= n > 114 sides) and all 5 platonic solids but couldn't get any similar result. See http://heliwave.com/Polygons.txt and the C# program at http://heliwave.com/Polygons.zip

Thank you for your time and efforts.

God bless you all,

Ali

God > ...

[Ali Adams]

For those who don't know Dr Haifeng Xu and Zuyi Zhang, they have gratefully spent their time in analyzing the prime numbers in the first chapter of the Quran (surat Al-Fatiha). Here is the summary

11/01/2015
Dr Haifeng Xu and his student Zuyi Zhang at the Department of Mathematics, University of Yangzhou, China and in collaboration with Ali Adams have identified the 7 verses, 29 words and 139 letters of the Quran’s first sura (The Key الفاتحة) as the first prime triplet with consecutive prime digit sums (7=7, 2+9=11, 1+3+9=13) and prime left-to-right (729139) and right-to-left (139297) concatenations with a prime digit sum (7+2+9+1+3+9=31). Dr Xu named the series of such triplets; the Quran Triplets in honour of the ever-revealing Quran.

See http://heliwave.com/QuranTriplets.txt

Ali

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From: Ali Adams <heli...@yahoo.com>
To: "hf...@yzu.edu.cn" <hf...@yzu.edu.cn>; "zhangz...@hotmail.com" <zhangz...@hotmail.com>
Cc: Hatim Zaghloul <hatim.z...@gmail.com>; Sabri Ibraheem <sabri_i...@yahoo.com>; Ali Adams <heli...@yahoo.com>; Omar Al Zabir <omara...@gmail.com>; United-quran <united...@googlegroups.com>
Sent: Friday, April 10, 2015 11:38 PM
Subject: Square Chapters Pattern