Chasles’ mystic tetrahedron

Fast Tetrahedron-Tetrahedron Overlap Algorithm

We present an algorithm to test two tetrahedra for overlap. The algorithm is based on a dimension reduction technique that allows to apply the Separating Axis Theorem avoiding part of the computation needed to perform the Separating Axis Test. Source code is available online.

On a theorem of M. Chasles

Tetrahedron template

High yielding synthetic routes to 3’,5’-diamino-2’,3’,5’-trideoxycytidine and 3’,5’-diamino-2’,3’,5’-trideoxyadenosine are described. In addition, the protonation behavior of 3’,5’-diamino-2’,3’,5’-trideoxycytidine, 3’,5’-diamino-2’,3’,5’-trideoxyadenosine, 3’,5’diamino-3’,5’-dideoxythymidine, and 3’,5’-diamino-2’,3’,5’-trideoxyuridine has been studied by means of pH-metric measurements and NMR...

Mystic Poems, Poems of Enlightment

On Pentagon And Tetrahedron Equations

We show that solutions of Pentagon equations lead to solutions of the Tetrahedron equation. The result is obtained in the spectral parameter dependent case. URA 1436 ENSLAPP du CNRS, associée à l’Ecole Normale Supérieure de Lyon et au Laboratoire d’Annecy de Physique des Particules. email: [email protected] Ref. ENSLAPP xxx/93 November 1993