The art of π, φ and e
1. art of π
The representation of the digits of π as links that connected segments associated with successive digits. The image is composed of links (segment:position) 3:0 → 1:1 → 4:2 → 1:3 → 5:4 …
2. Progression and transition for the first 1,000 digits of π
Tthe transition probabilities for each digit across bins of 10 digits. For a given digit segment, d, the inner bubble plot shows the number of times a digit i was found immediately before d. The outer bubble plot shows the number of times i followed d.
3. Progression and transition for the first 2,000 digits of e.
The large bubble on the 9 segment for π is due to the unusual “999999” sequence at decimal place 762, which occurs significantly earlier than expected.
4.Dots are used to represent the adjacency between digits.
Each digit 0-9 is represented by a colored segment. Dots assigned to a segment represent digits that follow the digit represented by the segment. The position of the dot is roughly the position within the number that the digit appears.
For example, for π the dot coordinates for the first 7 digits are The image is composed of dots using third coordinates (segment:position:label) 3:0:1 »> 1:1:4 »> 4:2:1 »> 1:3:5 »> 5:4:9 ….
© Cristian Ilies Vasile