3 by 3 Magic Square						All Rows, Columns & Diagonals							Magic Squares explained by Ted E
				15			They all add up to the same total.						4 by 4 Magic Square
	8	1	6	=	15								42	58	10	26	42
	3	5	7	=	15				15	1	7	9	11	1	16	6	=	34		3x3, 5x5, 21x21
	4	9	2	=	15				4	6	12	14	14	8	9	3	=	34		Odd squares are easy
	=	=	=	15					5	11	13	3	2	12	5	15	=	34		4x4, 6x6
	15	15	15						10	16	2	8	7	13	4	10	=	34		I have NOT YET  figured out
4 Rotations + 4 Inverse = 8 patterns, 2 in one plane.										diagonals - >			32	32	36	34				how to do even squares.
										column totals - >			34	34	34	34
	5 by 5 Magic Square					65							6 by 6 Magic Square					This one needs corrections !
15	17	24	1	8	15	=	65	35	1	9	17	19	27	35	1	9	17	19	89
16	23	5	7	14	16	=	65	6	8	16	24	26	34	6	8	16	24	26	88
22	4	6	13	20	22	=	65	7	15	23	25	33	5	7	15	23	25	33	75
3	10	12	19	21	3	=	65	14	22	30	32	4	12	14	22	30	32	4	110
9	11	18	25	2	9	=	65	21	29	31	3	11	13	21	29	31	3	11	97
	=	=	=	=	=	65		28	36	2	10	18	20	28	36	2	10	18	96
	65	65	65	65	65					diagonals - >			137	129	87	135	93	123	99
										column totals - >			111	111	111	111	111	111
	7 by 7 Magic Square							175					9 by 9 Magic Square									369
28	30	39	48	1	10	19	28	=	175		34	45	47	58	69	80	1	12	23	34	45	=	369
29	38	47	7	9	18	27	29	=	175			46	57	68	79	9	11	22	33	44	46	=	369
37	46	6	8	17	26	35	37	=	175			56	67	78	8	10	21	32	43	54	56	=	369
45	5	14	16	25	34	36	45	=	175			66	77	7	18	20	31	42	53	55	66	=	369
4	13	15	24	33	42	44	4	=	175			76	6	17	19	30	41	52	63	65	76	=	369
12	21	23	32	41	43	3	12	=	175			5	16	27	29	40	51	62	64	75	5	=	369
20	22	31	40	49	2	11	20	=	175			15	26	28	39	50	61	72	74	4	15	=	369
	=	=	=	=	=	=	=	175	< - diagonal totl.			25	36	38	49	60	71	73	3	14	25	=	369
	175	175	175	175	175	175	175		< - column totals			35	37	48	59	70	81	2	13	24	35	=	369
										diagonal totl. - >			=	=	=	=	=	=	=	360	378	369
										column totals - >			369	369	369	369	369	369	369	369	369	0
													Magic Squares Barbarossa					7/15/2014
How Tiles or Patterns Work,										Make Magic Square:				Go up & over right !					If place is filled,
repeating sideways & upwards.										Put 1  in top center box									then drown down 1 square.
4	9	2	4	9	2	4	9	2								2
8	1	6	8	1	6	8	1	6			1				1						6
3	5	7	3	5	7	3	5	7						3			3		3	5
4	9	2	4	9	2	4	9	2								2			4
8	1	6	8	1	6	8	1	6
3	5	7	3	5	7	3	5	7		If new position is out of square, see red #									If out of box, then place
4	9	2	4	9	2	4	9	2		find the place in the square that is like that position.									in same position IN box.
																					2
Magic Squares: Each column, each row, and diagonals all add to same total.																			8	1	6	8
They are all numbers from 1 to 9, 25, 49, or 81.  Make them by putting 1 in top center																			3	5	7	3
`Then next number is up & over right. If off square, then to same position on square.																			4	9	2
If you overlap a lower number, then drop down one square and continue.
Note the number patterns in the square repeat on both sides & top & bottom.																			If already filled, then down 1.
The Magic Square is a pattern, repeating like tiles in all directions.  Magic CUBE is similar !																			How to Fill 5, 6, 7			4
Colored numbers show repeating nature, but are not in THE magic square.																			8	1	6
On the correct diagonal, any sequential 3, 5, or 7 numbers add to the row totals.																			3	5	7
If square has diagonals thru center of square, then diagonals = row & column totals.																			4
Odd number squares work by these rules and combinations.
Even squares have column totals equal, but vary on row & diagonal totals.
																				34
Magic Squares have mused mathematicians for millennium.																16	3	2	13	34
Albrecht Durer - great artist, did Magic Square so bottom center block showed the date 1514 drawn.																5	10	11	8	34
See The John Searl Story on You Tube. He dreamt of these as youth,																9	6	7	12	34
Grew up, worked for power company, and learned how to use these number combinations																4	15	14	1	34
to designate relationships of real quantities of: mass, measurements, distances:																34	34	34	34	34
to create inverse gravity disc to fly remotely around the world and Free Energy devices.																Albrecht Durer - 1514
	from Ted Elden, 304 344 2335, t@abodia.com   www.abodia.com/MagicSquares