gyromidpoint {gyro}

Gyromidpoint

Description

The gyromidpoint of a gyrosegment.

Usage

gyromidpoint(A, B, s = 1, model = "U")

Arguments

A, B

two distinct points (of the same dimension)

s

positive number, the radius of the Poincaré ball if model="M", otherwise, if model="U", this number defines the hyperbolic curvature

model

the hyperbolic model, either "M" (Möbius model, i.e. Poincaré model) or "U" (Ungar model, i.e. hyperboloid model)

Value

A point, the gyromidpoint of a the gyrosegment joining A and B.

Note

This is the same as gyroABt(A, B, 1/2, s) but the calculation is more efficient.