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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15 votes
28 answers
2k views

Calculating Pi 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 ...
20 votes
16 answers
2k views

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 ...
7 votes
0 answers
240 views

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 ...
18 votes
5 answers
1k views

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 ...
  • 1,857
-3 votes
7 answers
391 views

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: ...
  • 5,060
9 votes
8 answers
2k views

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 ...
  • 5,060
22 votes
14 answers
3k views

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\$ ...
  • 8,117
20 votes
22 answers
6k views

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{...
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-1 votes
4 answers
1k views

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. ...
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9 votes
9 answers
680 views

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 ...
  • 23k
-3 votes
3 answers
395 views

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 ...
  • 4,012
-2 votes
7 answers
762 views

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 ...
13 votes
4 answers
569 views

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 ...
  • 23k
30 votes
27 answers
7k views

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 ...
9 votes
32 answers
2k views

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: ...
  • 13.3k
32 votes
7 answers
3k views

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 ...
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37 votes
32 answers
4k views

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 ...
  • 16.1k
19 votes
26 answers
3k views

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 ...
  • 3,039
15 votes
5 answers
1k views

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 ...
  • 1,355
0 votes
0 answers
279 views

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. ...
  • 119
12 votes
3 answers
431 views

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 ...
17 votes
10 answers
1k views

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–...
7 votes
2 answers
6k views

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 ...
  • 533
10 votes
3 answers
612 views

Natural Pi #1 - Sand

Goal Generate (N) random line segments of uniform length (l), check if they cross the equidistant (...
21 votes
6 answers
1k views

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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38 votes
22 answers
4k views

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 <...
86 votes
28 answers
8k views

Bake a slice of Pi

Write a program or function that prints or outputs this exact text (consisting of 142 characters): ...
  • 3,842
12 votes
5 answers
1k views

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 ...
  • 23k
35 votes
18 answers
11k views

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 ...
25 votes
37 answers
7k views

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....
  • 509
16 votes
11 answers
2k views

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, ...
  • 28.5k
26 votes
20 answers
2k views

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\$,...
  • 101k
14 votes
20 answers
3k views

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 ...
  • 28.4k
27 votes
9 answers
4k views

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 ...
3 votes
4 answers
760 views

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 ...
  • 2,838
1 vote
4 answers
724 views

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 ...
12 votes
3 answers
638 views

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 → ...
  • 38.8k
52 votes
3 answers
6k views

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 ...
  • 9,346
20 votes
5 answers
3k views

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 ...
11 votes
6 answers
1k views

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 ...
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26 votes
35 answers
4k views

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 ...
  • 387
7 votes
2 answers
439 views

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 ...
  • 10.8k
11 votes
12 answers
964 views

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 ...
  • 2,304
15 votes
2 answers
749 views

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 ...
11 votes
5 answers
1k views

5 Seconds to Find Pie

Pi times e (or Pie if you like ambiguous notation) to 100 decimal places is: ...
5 votes
3 answers
532 views

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 ...
  • 1,597
0 votes
4 answers
1k views

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, ...
  • 1,043
13 votes
6 answers
1k views

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 ...
  • 659
27 votes
8 answers
9k views

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: ...
  • 4,302
56 votes
63 answers
17k views

Output Pi without math [closed]

In as few bytes as possible, your job is to write a program that outputs: 3.14 In celebration of a late Pi day of course! :) Rules You can do it anyway you ...
  • 2,181