Figures—Doubles—Prismes is a composition for orchestra by French composer Pierre Boulez. His first purely orchestral work, it is an expansion of an earlier...

revised 1989) Structures II for two pianos (1961) Figures—Doubles—Prismes for orchestra (1957–58, as Doubles; revised 1964; revised 1968) Éclat for ensemble...

but much of this was eliminated in later revisions. By contrast Figures—Doubles—Prismes (1957–1968) is a fixed work with no chance element. Piencikowski...

electronics (1991–93) version for vibraphone and electronics (1986) Figures—Doubles—Prismes, for orchestra (1957–58/1964/1968) Improvisé—pour le Dr. K, for...

Asciolla, viola; Leonida Torrebruno, percussion. Stradivarius, 1961) Figures—Doubles—Prismes (Residentie Orkest, Stradivarius, 1968) Polyphonie X (Orchestra...

and "Tombeau" from Pli selon pli, Éclat (and Éclat/Multiples), Figures—Doubles—Prismes, Domaines, and Cummings ist der Dichter, as well as the withdrawn...

Press. ISBN 9781107062658. Derrien, Jean-Pierre (2002). Notations, Figures-doubles-prismes, Rituel (Media notes). Lyons: Naïve. MO 782163. Goldman, Jonathan...

regular 4-polytopes) in his publication On the Regular and Semi-Regular Figures in Space of n Dimensions. Convex uniform polytopes: 1940-1988: The search...

represented by the ‖ operator. A uniform prism is {n}‖{n} and antiprism {n}‖r{n}. A truncated regular polygon doubles in sides. A regular polygon with even...

includes the regular polytopes. Further, star regular faces and vertex figures (star polygons) are allowed, which greatly expand the possible solutions...