𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Polygonizations of point sets in the plane

✍ Scribed by Linda Deneen; Gary Shute


Publisher
Springer
Year
1988
Tongue
English
Weight
619 KB
Volume
3
Category
Article
ISSN
0179-5376

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New examples of regular sets of points for the Miquelian inversive planes of order q, q a prime power, q β‰₯ 7, are found and connections between such planes and certain Minkowski planes of order q 2 are presented.

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Given a star-shaped polygon in the euclidean plane and a vertex v of the polygon, the author characterizes all those points w in the plane such that when the vertex v moves to w along a straight line path, while all other vertices of the polygon are fixed, the polygon remains star-shaped. An example