Copy of Choosey Polygons

From a conversation with Jennifer Silverman and David Wees at Global Math, with help from Kathryn Peake. [br][br]How many of these polygons can you inscribe on a subset of points arranged around a circle?[br][br]What properties do these polygons have?[br][br]Extension: how many figures are possible [br]if we take the points in any order?
More GeoGebra at [url]mathhombre.blogspot.com[/url]

Information: Copy of Choosey Polygons