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Recamans Sequence Visualisation 72k Iterations

Pajaro Iterations Sequence 19 Steve Cooley Fine Art
Pajaro Iterations Sequence 19 Steve Cooley Fine Art

Pajaro Iterations Sequence 19 Steve Cooley Fine Art For an explanation of this sequence, see the numberphile video on it • the slightly spooky recamán sequence num i used alternating arcs, 4x anti aliasing and 20 iterations per second. A visualisation of recamán's sequence, with the option to apply the same process to starting sequences other than the integers. inspired by a numberphile video (see below).

Recamán S Sequence
Recamán S Sequence

Recamán S Sequence The idea is to construct recaman's sequence efficiently by using hashing to track visited numbers. the approach iterates from 1 to n, computing a candidate value as the previous term minus the index. A drawing of the first 75 terms of recamán's sequence, according to the method of visualization shown in the numberphile video "the slightly spooky recamán sequence" [3]. By drawing an arc between each consecutive number of the recamán’s sequence we can create beautiful visual representations of the sequence: the above visualisation represents the first 70 numbers of the recamán’s sequence. To do this, initialize a variable to hold the current number we are at in the sequence. you also need to create an empty list to keep track of all the numbers we have seen before.

Recamán S Sequence The Coding Train
Recamán S Sequence The Coding Train

Recamán S Sequence The Coding Train By drawing an arc between each consecutive number of the recamán’s sequence we can create beautiful visual representations of the sequence: the above visualisation represents the first 70 numbers of the recamán’s sequence. To do this, initialize a variable to hold the current number we are at in the sequence. you also need to create an empty list to keep track of all the numbers we have seen before. Press "start" to watch the sequence unfold. successive terms of the sequence are linked by semicircles. you can zoom in out before pressing start to see less more. what questions come to mind? for more details, head to the oeis page or watch this numberphile video  by alex bellos. In the video, edmund harriss draws the sequence as a series of connected semicircles, each number in the sequence arcs to the next, alternating up and down. in this notebook, i recreate that diagram programmatically using python. Recamán’s sequence (a005132 in the oies) was invented by bernardo recamán. it is generated with a simple rule: “subtract if possible, otherwise add”. Using a numerical approach, i generated sequences for various functions and visualized them using both traditional plots and jump plots (where semicircles connect consecutive values). below you see well known plots of standard recamán sequence ($f (n) = n$):.

Recamán S Sequence The Coding Train
Recamán S Sequence The Coding Train

Recamán S Sequence The Coding Train Press "start" to watch the sequence unfold. successive terms of the sequence are linked by semicircles. you can zoom in out before pressing start to see less more. what questions come to mind? for more details, head to the oeis page or watch this numberphile video  by alex bellos. In the video, edmund harriss draws the sequence as a series of connected semicircles, each number in the sequence arcs to the next, alternating up and down. in this notebook, i recreate that diagram programmatically using python. Recamán’s sequence (a005132 in the oies) was invented by bernardo recamán. it is generated with a simple rule: “subtract if possible, otherwise add”. Using a numerical approach, i generated sequences for various functions and visualized them using both traditional plots and jump plots (where semicircles connect consecutive values). below you see well known plots of standard recamán sequence ($f (n) = n$):.

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