Hi,(adsbygoogle = window.adsbygoogle || []).push({});

If we contract a (n-1)d hyperplane with a n-simplex, then what is maximum number of intersection points with the egdes of the simplex and the hyperplane ?

For, if we draw a line within a 2-simplex (there are 3 edges), it will have a intersection of maximum two edges. For 3-simplex, any plane within the tetrahedron (where there are 6 egdes) can have maximum intersection with 4 edges. What is the value for n-simplex ?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Intersection between hyperplane within a simplex

Loading...

Similar Threads - Intersection between hyperplane | Date |
---|---|

Are Jacobi fields defined at intersection points? | Jan 4, 2015 |

Intersection point between n-vector and n-sphere | Dec 14, 2012 |

Algorithm for testing intersection of point and compound polygon | Nov 16, 2012 |

Finding the points of intersection of two ellipses | Oct 23, 2012 |

Solving Linear Geometry for a 'projected intersection' | Jul 20, 2012 |

**Physics Forums - The Fusion of Science and Community**