"POLYTOP" / Marc Fornes & theverymany
"Polytop" is a RANGE of a mass customized coffee tables: each table is different but similar without changing the cost of production: the generative automaton processs for each single entity is starting from the same base frame (according to material and standart sheet size); the code is first plotting a number of pts (according to user specifications) to create a pt cloud onto which is running a customized 2.5D Voronoi; here speculating further onto the use of Vornoi diagrams within the field of design, theverymany is looking at optimization within the production process (more of problem caring than problem solving): only 3 axis require for the CNC cut (though the use of a taper tool allows smoother transitions), reducion of the amout of cuts (each cut is used on both side of the line) and reduction of waste of material : within the production process, every cut out is used to produced an n+2 layer within the vertical section: with one sheet of material you can therefore produce at least 3 to 5 layers.
Etymology: the term "table" is derived from a merger of French table and Old English tabele, ultimately from the Latin word tabula, "a board, plank, flat piece". In Late Latin, tabula took over the meaning previously reserved to mensa (preserved in Spanish mesa "table"). In Old English, the word replaced bord for this meaning.
The word polytope is used to mean a number of related, but slightly different mathematical objects.
A polygon whose interior consists of all points in the plane which are closer to a particular lattice point than to any other. The generalization to dimensions is called a Dirichlet region, Thiessen polytope, or Voronoi cell.