Other Shapes

Mathematical functions for other shapes. More...

Collaboration diagram for Other Shapes:

Files
file	math_oshapes.scad
	Other shapes mathematical functions.

Functions
function	rpolygon_lp (n, r, a, vr, cw=true)
	Compute the coordinates for an n-sided regular polygon. More...
function	rpolygon_area (n, r, a)
	Compute the area of an n-sided regular polygon. More...
function	rpolygon_perimeter (n, r, a)
	Compute the perimeter of an n-sided regular polygon. More...

Detailed Description

Mathematical functions for other shapes.

Function Documentation

function rpolygon_area	(	n	,
		r	,
		a
	)

Compute the area of an n-sided regular polygon.

Parameters

n	<integer> The number of sides.
r	<decimal> The vertex circumradius of the circumcircle.
a	<decimal> The inradius of the incircle.

Returns

<decimal> Area of the n-sided regular polygon.

The radius can be specified by either the circumradius r or the inradius a. If both are specified, r is used.

function rpolygon_lp	(	n	,
		r	,
		a	,
		vr	,
		cw	= true
	)

Compute the coordinates for an n-sided regular polygon.

Parameters

n	<integer> The number of sides.
r	<decimal> The vertex circumradius of the circumcircle.
a	<decimal> The inradius of the incircle.
vr	<decimal> The vertex rounding radius.
cw	<boolean> Use clockwise point ordering.

Returns

<coords-2d> A list of coordinates points [[x, y], ...].

The radius can be specified by either the circumradius r or the inradius a. If both are specified, r is used.

Example

vr=5;

hull()
{
  for ( p = rpolygon_lp( r=20, n=5, vr=vr ) )
    translate( p )
    circle( r=vr );
}

Here is the caller graph for this function:

function rpolygon_perimeter	(	n	,
		r	,
		a
	)

Compute the perimeter of an n-sided regular polygon.

Parameters

n	<integer> The number of sides.
r	<decimal> The vertex circumradius of the circumcircle.
a	<decimal> The inradius of the incircle.

Returns

<decimal> Perimeter length of the n-sided regular polygon.

The radius can be specified by either the circumradius r or the inradius a. If both are specified, r is used.