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A Pentagonal Tiling ZdS#8

Series : Zeste de science

  • Description
  00:02:57  2018  HD 16/9  Color  Sound

The Youtube channel Zeste de science explores all aspects of scientific research, proving that even the most complicated scientific facts can be explained in less than 5 minutes, and that even the most seemingly trivial events of everyday life, if thoroughly studied, can contribute to the biggest technological advances.
Episode 8: You are in the mood to tile your bathroom with pentagonal tiles? Sure, why not, but how do you do it? The question may seem silly, but has actually haunted mathematicians for over a century. Tiling a plane with convex pentagons without leaving any hole is indeed far from being easy. Since 1918, up to 15 types of pentagons able to do that have gradually been discovered. But how many more exist? In 2017, computer engineer Michaël Rao finally settled the issue. Using a special software program, he reduced the number of eligible pentagons from infinite to 371. A second software program helped select them to eventually find the correct number of pentagons able to tile a plane: 15, namely all those already discovered!

Producer : CNRS Images
Chief editor : BAKER Nicolas (CNRS Images, UPS CNRS, Meudon )
Director : GOMBERT Christophe (CNRS Images, UPS CNRS, Meudon )
Audiovisual processReal shots. Use of archive images and 3D animations.
Interviews (live sound).
NotesScientific sources :
Michael Rao (LIP, UMR CNRS, Inria, ENS Lyon, Univ. Claude Bernard Lyon 1)
LIP : Laboratoire d'informatique du parallélisme (INS2I)
ENS : École normale supérieure


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Technical Sheet
Item No.6461
PublicLarge audience
Original SupportHD