Questions tagged [pi]
This tag is for challenges involving the mathematical constant pi, the ratio of a circle's circumference to its diameter.
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Print 100 digits of π
Your challenge is to print any 100 consecutive digits of π. You must give the index at which that subsequence appears. The 3 is not included.
For example, you could print any of the following:
...
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Calculating π using the Gregory Leibniz series until n terms
based off my previous challenge, this wikipedia article, and a Scratch project
Your task: given i, calculate \$\pi\$ till i ...
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17
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Calculate Pi unto a point using the Nilakantha series
Your task: given a nonzero positive number i, calculate pi using the Nilakantha series unto i terms.
The Nilakantha series is as ...
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8
votes
0
answers
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Turing Machine that outputs pi
Turing Machine Preliminaries
A Turing machine is specified by the following data
A finite set of symbols S = \$\{s_1,s_2,...\}\$
A finite set of states M = \$\{m_1,m_2,...\}\$
A partially defined ...
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Find a sequence in the binary digits of π
Given a binary sequence of finite length, find the starting position where this sequence first appears in the binary digits of π (after the decimal). You can assume that an answer exists for any input ...
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Print om sign with pi
This time I will give you an easy challenge:
Print the Om sign with \$\pi\$!(Sorry for many challenges with \$\pi\$)
Here is the om sign drawn using pi numbers:
...
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8
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Music with pi and e
Because I forgot to celebrate Pi Day (14.3), let's celebrate with \$\pi\$, \$e\$ (Euler's number) and music!
Challenge
No, we don't have time to eat a pi-pizza, let's make a program.
What you need is ...
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22
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14
answers
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Elastic collisions between blocks
The 3Blue1Brown Youtube channel released a video a year ago called "Why do colliding blocks compute pi?" which describes a model where a block A of mass \$a\$ ...
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Pi to the power y, for small y's
Input
This task takes no input.
Output
Your code should compute and print (or return)
\$\pi^y\$ for all \$y = \frac11, \frac12, \frac13, \frac14, \frac15, \frac16, \frac17, \frac18, \frac19, \frac1{...
user9207
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Output first \$n\$ digits of \$\pi^{1/\pi}\$
This challenge is to produce the shortest code for the constant \$\pi^{1/\pi}\$. Your code must output the first \$n\$ consecutive digits of \$\pi^{1/\pi}\$, where \$n\$ is given in the input. ...
user9207
9
votes
9
answers
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Pi Day: Determine if a list of words is correct Pilish
Background
Though this is a bit late for Pi Day, I saw an article about Pilish and thought it would make a great challenge. Pilish is created by using a sequence of words where each word's length ...
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-3
votes
3
answers
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Without using numbers, Calculate Pi [duplicate]
Inspired by Nicola Sap's Challenge
Goal
Your challenge is to simply produce π with 232-1 digits. However today's twist, like the title implies, is to produce it without using any numbers or any π ...
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votes
7
answers
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Calculate the sum of all odd digits of pi in range [duplicate]
Introduction
In the not so distant future with the AI revolution, we will need a way to solve their captchas to prove we're not humans.
This challenge was inspired by CommitStrip.
Challenge
One ...
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4
answers
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Integers in Base Pi
Background:
Pi (π) is a transcendental number, and therefore it has a non-terminating decimal representation. Similar, the representation doesn't terminate if ...
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Pi got your number
Challenge :
\$\pi\$ is supposed to be infinite. That means every number is contained inside the decimal part of \$\pi\$.
Your task will be to take a positive integer on input and return the position ...
- 1,506
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Output with the same number of digits of pi as the length of the code
Your challenge is to print x digits of pi where x is your code length.
Examples:
...
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7
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Find Primes in Pi
Primes are everywhere...
they hide inside Pi
3.1415926535897932384626433832795028841971693993751
Let's get those primes!
The Challenge
Given as input an integer ...
user73398
39
votes
35
answers
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Mix pi and e to make pie!
Everybody knows pi the mathematical constant, the ratio of a circle's circumference to its diameter.
3.14159265358979323846264338327950288419716939937510...
You ...
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19
votes
27
answers
3k
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Sort digits by their first occurrence in pi
Given a non-negative number n, sort the digits of n by their first occurrence in pi.
Input can be taken via function cli ...
- 3,069
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Play the sound of Pi
Yup, you read the title right. play the sound of pi.
More specifically, for every digit of pi in the first 1000, map it to a musical note and output the resulting melody to a file.
Basically, each ...
- 1,385
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votes
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Calculate PI to n digits [duplicate]
There have been many questions asking for variations on how to write Pi but none are like this...
EDIT: There are many questions asking for the nth digit of Pi, I am asking for UPTO the nth digit.
...
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3
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Natural Pi #2 - River
Goal
Given an string with a train of hashes, calculate its total length and divide by the distance from start to finish.
Simulation
What are we simulating? According to this paper, the ratio of the ...
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Bailey–Borwein–Plouffe Iterations
Bailey–Borwein–Plouffe Iterations
We've seen a few pi challenges on PPCG, but none that specifically dictate the algorithm you should be using. I'd like to see implementations of the Bailey–Borwein–...
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Print the n-th digit of pi [duplicate]
Task
Given an input n, calculate the n-th decimal digit of pi
Rules
Answer can be a full program or a function.
Input must be taken from stdin or from function ...
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Natural Pi #1 - Sand
Goal
Generate (N) random line segments of uniform length (l), check if they cross the equidistant (...
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6
answers
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A Triangular Slice of Squared Pi
Inspired by Bake a slice of Pi
Challenge
Given input 3 <= n <= 100 and 3 <= y <= n, construct an ...
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23
answers
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Natural Pi #0 - Rock
Goal
Create a program/function that takes an input N, check if N random pairs of integers are relatively prime, and returns <...
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votes
28
answers
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Bake a slice of Pi
Write a program or function that prints or outputs this exact text (consisting of 142 characters):
...
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votes
5
answers
1k
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Runs of Digits in Pi
Your goal is to output the strictly increasing sequence of consecutive, identical digits of pi (π). Each term in the sequence must be one digit longer than the previous. So ...
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votes
17
answers
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Find the nth decimal of pi
There are already 30 challenges dedicated to pi but not a single one asks you to find the nth decimal, so...
Challenge
For any integer in the range of ...
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Happy Rounded Pi Day
To celebrate Rounded Pi Day, you must take advantage of today's date to make a program that takes in a circle's diameter and outputs its circumference by multiplying the diameter by 3.1416, where 3....
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17
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Pi Day, Pi Minute, or Pi Second?
In this challenge you will need to determine whether it's Pi Day, Pi Minute, or Pi Second.
Because Pi is irrational, it wants your code to be as short as possible.
Examples
No input is provided, ...
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Co-primality and the number pi
Introduction
Number theory is full of wonders, in the form of unexpected connections. Here's one of them.
Two integers are co-prime if they have no factors in common other than 1. Given a number \$N\$,...
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Shorten an already short mathematical expression
For once, I was doing some real work, updating old code, and bumped into an expression that is equivalent to what would be written as πx + ex in good old-fashioned math. I thought it would be possible ...
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Map a random number to pi
A double precision representation of a decimal can only guarantee an accuracy of 15 decimal places, thus pi is approximated as:
3.141592653589793
You can see ...
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4
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Pi Bowling to 10 in 10 [closed]
Your Goal: Estimate pi to at least 10 decimal places. The format is your choice - it can output as a number, as a string, as an output to STDOUT, etc.
Seems easy, right? But wait, it's not as simple ...
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Memory is Expensive [closed]
You are a robot. You are stranded in a small cage with weird humans wearing weird suits looking at you. Your solar panel is malfunctioning, and your energy is running out. On the wall there is a ...
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Computing truncated digits sums of powers of pi
Given a positive integer n output the sum of the first n decimal digits of the fractional part of πn.
Example input and outputs:
1 → 1
2 → 14
3 → ...
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Quiche Lorraine [closed]
Since it was Pi day recently, I have noticed a number of challenges that ask you to calculate pi.
Of course, a quiche lorraine is not quite a pie (you can claim a Bonus Score¹ of +1 if you guessed ...
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Calculate π with quadratic convergence
Write a function or complete program that takes a positive number n and performs n steps of an iterative algorithm for ...
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6
answers
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Transmit Pi... precisely
Following on from Monte Carlo estimator of Pi this challenge is to produce the shortest code for the constant Pi. Except here your code must output consecutive digits of pi forever.
This is code ...
user9206
27
votes
35
answers
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Monte Carlo estimator of Pi
Happy Pi Day everyone! For no reason at all, I'm trying to construct a Monte Carlo estimator of Pi that is as short as possible. Can we construct one that can fit in a tweet?
To clarify, what I have ...
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votes
2
answers
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Calculate a pi-based sequence with a pi-based frequence
Introduction
Pi is
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089...
Let's treat each digit as an instruction as to how to ...
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11
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12
answers
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Piem validator programme
Write a program that defines a function that can check if a string variable called "anything you want or inputted by the user" is or not a piem.
(piem = a story or poem in which the word lengths ...
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15
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2
answers
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Pirrational Numbers
Pi is an irrational number, which means that its decimal representation never terminates or repeats itself.
Pi truncated to 41 decimal digits (40 places) is ...
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11
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5
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5 Seconds to Find Pie
Pi times e (or Pie if you like ambiguous notation) to 100 decimal places is:
...
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5
votes
3
answers
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When is my piversary?
Since I want to celebrate this definitely not nerdy event, your job is to calculate the piversary (pi-anniversary) of a given date.
Input
Your code has to have a possibilty to input a date in the ...
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vote
4
answers
2k
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Calculate the most digits of pi [closed]
There are a lot of challenges on this site regarding pi, but none that challenge you to calculate as many digits of pi as possible.
As you all may know, pi in its decimal form goes on for infinity, ...
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6
answers
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PI window encryption
This is a simple encryption method that uses PI digits to encode a message, the method is simple:
The key is just a positive integer that indicates where the window starts then:
Given a string to ...
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Pi is still wrong [closed]
Pi is Wrong
A common method of computing pi is by throwing "darts" into a 1x1 box and seeing which land in the unit circle compared to the total thrown:
...
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