3n+1 Flying Saucers
The Collatz sequence is built starting from the number
is even, compute
is odd, compute
. Repeat using the result.
Here these sequences are shown using red spheres for even numbers and blue ones for
Does this process always end? That is still an open problem. It is true for small numbers.
THINGS TO TRY
Rotate and Zoom in 3D
3n+1 Flying Saucers
the Wolfram Demonstrations Project
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Beraha's Conjecture, Wheels, and Cyclic Graphs
Iterating the Collatz Map on Real and Complex Numbers
Other Formulations of the Collatz Problem
Collatz Problem as a Cellular Automaton
Reverse Collatz Paths
Ed Pegg Jr
A Family of Generalized Fibonacci and Lucas Numbers
The 3n+1 Problem
High School Finite Mathematics
High School Mathematics
Puzzles and Recreations: Advanced
School Puzzles and Recreations
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2017 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have