stellation
Sign in to savethumb|Construction of a stellated dodecagon: a regular polygon with [[Schläfli symbol {12/5}]] In geometry, stellation is the process of extending a polygon in two dimensions, a polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure. Starting with an original figure, the process extends specific elements such as its edges or face planes, usually in a symmetrical way, until they meet each other again to form the closed boundary of a new figure. The new figure is a stellation of the original. The word stellation comes from the Latin stellātus, "starred",
Article
12 sectionsContents
- Kepler's definition
- Stellating polygons
- Stellating polyhedra
- Miller's rules
- Other rules for stellation
- Stellating polytopes
- Naming stellations
- Stellation to infinity
- From mathematics to art
- See also
- References
- External links
thumb|Construction of a stellated dodecagon: a regular polygon with [[Schläfli symbol {12/5}]] In geometry, stellation is the process of extending a polygon in two dimensions, a polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure. Starting with an original figure, the process extends specific elements such as its edges or face planes, usually in a symmetrical way, until they meet each other again to form the closed boundary of a new figure. The new figure is a stellation of the original. The word stellation comes from the Latin stellātus, "starred", which in turn comes from the Latin stella, "star". Stellation is the reciprocal or dual process to faceting.
==Kepler's definition== In 1619 Kepler defined stellation for polygons as the process of extending edges until they meet to form a new polygon.