Reye's Configuration

Reye's configuration consists of 12 planes and 12 points such that six points lie in every plane and six planes pass through every point. Alternatively, the configuration consists of 16 lines and the same 12 points such that four lines pass through every point and three points lie on every line [1]. This Demonstration shows a realization without any points at infinity.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


For a realization with one point at infinity, see [3].
[1] E. W. Weisstein. "Reye Configuration" from MathWorld—A Wolfram Web Resource. mathworld.wolfram.com/ReyeConfiguration.html.
[2] D. G. Wells, The Penguin Dictionary of Curious and Interesting Geometry, New York: Penguin Books, 1991 pp. 214–215, 1991.
[3] I. Hafner. "Block in Two-Point Perspective" from the Wolfram Demonstrations Project—A Wolfram Web Resource. demonstrations.wolfram.com/BlockInTwoPointPerspective.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
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
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
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.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
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 Mathematica Player or Mathematica 7+