Rhombic dodecahedrons as projections of hypercubes. Compressed cubes, Cc3, lengthened cubes, Ca3, and pulsant tessellations, overlapped tessellations, and their intersections, tetrahedrons, octahedrons, crystals. A new coordinate system that does not change adding a additive constant. Sections of cubes and hypercubes obtained through tetrahedrons and finite differences. Probability. Equiscomponibility in space through translations and a continuous infinity of ways. B-spline with certain properties. Importance of: fusionism, analogy and induction, mental imageries, colors and dynamic aspects. Various proofs of simple theorems. Reproposal of the same arguments addressed to any dimension.
Matematica dinamica e a colori. Proiezioni e sezioni di ipercubi. T-equiscomponibilità in un infinito continuo di modi fra dodecaedri rombici, cubi allungati e cubi compressi. B-splines. Fusionismo, analogia, induzione e immagini mentali / Barra, Mario. - In: PROGETTO ALICE. - ISSN 1972-0475. - STAMPA. - 36:(2011), pp. 371-416.
Matematica dinamica e a colori. Proiezioni e sezioni di ipercubi. T-equiscomponibilità in un infinito continuo di modi fra dodecaedri rombici, cubi allungati e cubi compressi. B-splines. Fusionismo, analogia, induzione e immagini mentali
BARRA, Mario
2011
Abstract
Rhombic dodecahedrons as projections of hypercubes. Compressed cubes, Cc3, lengthened cubes, Ca3, and pulsant tessellations, overlapped tessellations, and their intersections, tetrahedrons, octahedrons, crystals. A new coordinate system that does not change adding a additive constant. Sections of cubes and hypercubes obtained through tetrahedrons and finite differences. Probability. Equiscomponibility in space through translations and a continuous infinity of ways. B-spline with certain properties. Importance of: fusionism, analogy and induction, mental imageries, colors and dynamic aspects. Various proofs of simple theorems. Reproposal of the same arguments addressed to any dimension.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.