https://github.com/kartmaan/collatz_conjecture

Graphic representations of Collatz sequences
https://github.com/kartmaan/collatz_conjecture

collatz collatz-algorithm collatz-conjecture collatz-problem collatz-sequences collatzconjecture conjecture graphics math mathematics pyqt5 pyqtgraph syracuse unsolved-problems

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Graphic representations of Collatz sequences

• Host: GitHub
• URL: https://github.com/kartmaan/collatz_conjecture
• Owner: Kartmaan
• Created: 2020-10-21T10:55:16.000Z (about 4 years ago)
• Default Branch: master
• Last Pushed: 2022-06-28T17:03:58.000Z (over 2 years ago)
• Last Synced: 2023-04-26T03:16:32.981Z (over 1 year ago)
• Topics: collatz, collatz-algorithm, collatz-conjecture, collatz-problem, collatz-sequences, collatzconjecture, conjecture, graphics, math, mathematics, pyqt5, pyqtgraph, syracuse, unsolved-problems
• Language: Python
• Homepage:
• Size: 208 KB
• Stars: 0
• Watchers: 2
• Forks: 0
• Open Issues: 1
• Metadata Files:
  • Readme: README.md

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README

        
# Collatz_conjecture

## What's Collatz conjecture ?

The Collatz conjecture is defined as follows:

- The starting value n is a positive integer

- If the previous term x is even, the next term = x/2

- If the previous term x is odd, the next term = x*3 + 1

The conjecture is that whatever the value of n, the sequence will always reach 1 before oscillating indefinitely on the values 4,2,1,4,2,1,4,2,1, .... (in this program, the sequence generation process stops as soon as it encounters a 1). The Collatz conjecture is still an unsolved problem in mathematics, it has not yet been shown that all sequences reach 1 for an integer and positive initial value.

## What does the program do?

The program designed with PyQt5 and PyQtGraph generate Collatz conjecture sequences. The program allows to:

- Visualize graphically a sequence from a single input value

- Compare the sequences of two input values in the form of two superimposed graphs

- Display more detailed statistics (flight time, time on altitude >n, max altitude, average altitude, number of even/odd values)

- Save graphics in .png format

- Copy the sequence(s) generated to the clipboard

- Randomly generate Collatz sequences

## Screenshots

### Interface

![collatz](https://user-images.githubusercontent.com/11463619/96777644-df9fd100-13ea-11eb-8404-d04e714da630.png)

### Sequences pasted from clipboard

![paste](https://user-images.githubusercontent.com/11463619/96784908-5d191080-13ee-11eb-9933-d3088b0c9c99.png)

### Graph saved as .png image

![97-649](https://user-images.githubusercontent.com/11463619/96784880-54283f00-13ee-11eb-8851-f90d954f31a4.png)

## Requirements

- `numpy`

- `PyQt5`

- `pyqtgraph`

- `pyperclip`