Fan Homeomorphisms in the Plane

Yatsuka Nakamura

Shinshu University, Nagano

Summary.

We will introduce four homeomorphisms (Fan morphisms) which give spoke-like distortion to the plane. They do not change the norms of vectors and preserve halfplanes invariant. These morphisms are used to regulate placement of points on the circle.

MML Identifier: JGRAPH_4

Contents (PDF format)

1. Preliminaries
2. Fan Morphism for West
3. Fan Morphism for North
4. Fan Morphism for East
5. Fan Morphism for South

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