5.0 ROTATIONS [OF BAR CHARTS]

Bar Charts, mainly from the Fibonacci and Albarn Series are further manipulated by rotation into spirals to reveal further patterns of behaviour and the resulting character of the digits and their offspring thus amplifying the nature of their relationships,the forms and concepts they re-present and as a step towards their application in image [6.0] and sound [7.0]. Hopefully some of the pages are found to be of interest in their own right as the patterns generated from these series are similar to traditional patterns from many different cultures [same or different sources?].

5.1 Series Reduced in spiral rotation.The Series having been translated into bar charts in which each bar is rotated by 90degs, they are then laid out to form a [90deg.] spirals which either fold into themselves [if the 9s are omitted] or form a boarder pattern [full series] or to form [60 deg. or other] spirals with each successive bar rotated at a constant angle.

5.1.1 Numbers 1-9 etc using a 60 degree spiral

5.2 Albarn Series [90deg. spiral rotation]

5.2.1 Albarn Series - 90 degree spiral and rotation [Series beginning 1 and 8 and 2 and 7]

5.2.2 Albarn Series - 90 degree spiral and rotation [Series beginning 4 and 5 and 3 and 6]

5.2.3 Albarn Series - alternate series number 1 spiral rotation

5.2.4 Albarn Series - alternate series number 2 spiral rotation

5.2.5 Albarn Series - alternate series number 3 spiral rotation

5.2.6 Albarn Series - alternate series number 4 spiral rotation

5.2.7 Albarn Series - minus 1, 4 and 7s, then 2, 5 and 8s, then 3, 6 and 9s [90 degree rotation]

5.2.8 Albarn Series - minus 1, 4 and 7s, then 2, 5 and 8s, then 3, 6 and 9s [in line]

5.3 Fibonacci Series [60 degree spiral rotation]

5.3.1 Fibonacci Series 11 - 60 degree spiral - anticlockwise

5.3.2 Fibonacci Series 11 [minus the 9s] - 60 degree spiral - anticlockwise

5.3.3 Fibonacci Series 22 - 60 degree spiral - anticlockwise

5.3.4 Fibonacci Series 22 [minus the 9s] - 60 degree spiral - anticlockwise

5.3.5 Fibonacci Series 33 - 60 degree spiral - anticlockwise

5.3.6 Fibonacci Series 33 [minus the 9s] - 60 degree spiral - anticlockwise

5.3.7 Fibonacci Series 44 - 60 degree spiral - anticlockwise

5.3.8 Fibonacci Series 44 [minus the 9s] - 60 degree spiral - anticlockwise

5.3.9 Fibonacci Series 11, 22, 33, 44 for comparison

5.4 Albarn Series [60 degree spiral rotation]

5.4.1 Albarn Series 1 - 30 degree and 60 degree spiral - anticlockwise

5.4.2 Albarn Series 1 - minus the 9s - 30 degree and 60 degree spiral - anticlockwise

5.4.3 Albarn Series 2 - 30 degree and 60 degree spiral - anticlockwise

5.4.4 Albarn Series 2 - minus the 9s - 30 degree and 60 degree spiral - anticlockwise

5.4.5 Albarn Series 3 - 30 degree and 60 degree spiral - anticlockwise

5.4.6 Albarn Series 3 - minus the 9s - 30 degree and 60 degree spiral - anticlockwise

5.4.7 Albarn Series 3 - minus the 9s - 60 degree and 90 degree spiral - anticlockwise

5.4.8 Albarn Series 4 - 30 degree and 60 degree spiral - anticlockwise

5.4.9 Albarn Series 4 - minus the 9s - 30 degree and 60 degree spiral - anticlockwise

5.4.10 Albarn Series 1 - alternate numbers - is the same as Fibonacci 11

5.4.11 Albarn Series 2 - alternate numbers - is the same as Fibonacci 22

5.4.12 Albarn Series 3 - alternate numbers - is the same as Fibonacci 33

5.4.13 Albarn Series 4 - alternate numbers - is the same as Fibonacci 44

5.4.14 Albarn Series 11, 22, 33, 44 for comparison

5.4.15 Albarn Series - minus 1, 4 and 7s, then 2, 5 and 8s, then 3, 6 and 9s [60 degree spiral rotation]

5.4.16 Comparison of 90 degree and 60 degree spiral rotations from Alb. series 1 - 4 [alternative numbers 1]

5.4.17 Comparison of 90 degree and 60 degree spiral rotations from Alb. series 1 - 4 [alternative numbers 2]

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