𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Pythagoras and the Dissection of Polygons

✍ Scribed by M. E. Mortimer and R. W. Ball


Book ID
121725683
Year
1984
Weight
503 KB
Volume
13
Category
Article
ISSN
0305-7259

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Polygon Dissections and Standard Young T
✍ Richard P. Stanley πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 142 KB

A simple bijection is given between dissections of a convex (n+2)-gon with d diagonals not intersecting in their interiors and standard Young tableaux of shape (d+1, d+1, 1 n&1&d ).

Closed Forms for the Number of Polygon D
✍ Petr LisonΔ›k πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 178 KB

We consider unlabelled dissections of the regular s-gon into \(r\) cells by means of nonintersecting diagonals. We prove that if the parameter \(r\) is fixed then the number of dissections is quasi-polymonial in \(s\).