The Most Chiral Disphenoid
Résumé
We calculate the analytical expression of the chiral index of the disphenoids and we show that this chiral index has a maximum value. It is reached when the disphenoids have their four triangular faces congruent to a triangle with squared sidelengths ratios 1 : 3- \sqrt{2}/2 : 3. To our knowledge it is the first time that a maximal chirality three dimensional set is characterized in the non labeled case.