npeaks: Calculates the number of a cycloid's peaks based on the radii...

In cycloids: Tools for Calculating Hypocycloids, Epicycloids, Hypotrochoids, and Epitrochoids

Calculates the number of a cycloid's peaks based on the radii A (fixed circle) and a (moving circle)

Description

This function may be useful for calculating the number n of peaks a cycloid (zykloid) based on the radii A (fixed circle) and a (moving circle) will have. The equation for n is

n = kgV(A, a)/a

where kgV(A, a) is the least common multiple of A and a as implemented in the function kgV

Usage

npeaks(A, a)

Arguments

A	A natural number (integer value > 0)
a	A natural number (integer value > 0)

Value

A natural number if A and a are natural numbers. In any other case, the function returns NA.

Author(s)

Peter Biber

See Also

kgV, ggT, zykloid

Examples

npeaks(18, 6)      #  3
npeaks(38, 105)    # 38
npeaks(36, 9)      #  4
npeaks(12, 9)      #  4
npeaks(9, 12)      #  3
npeaks(-5, 12)     # NA - only integer numbers > 0 allowed
npeaks(3, 0)       # NA - only integer numbers > 0 allowed
npeaks(3.2, 12)    # NA - only integer numbers > 0 allowed

cycloids documentation built on Aug. 29, 2023, 5:10 p.m.