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-- tkz_elements_regular.lua
-- date 2024/07/16
-- version 3.00
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
-- The latest version of this license is in
-- http://www.latex-project.org/lppl.txt
-- and version 1.3 or later is part of all distributions of LaTeX
-- version 2005/12/01 or later.
-- This work has the LPPL maintenance status “maintained”.
-- The Current Maintainer of this work is Alain Matthes.
regular_polygon = {}
function regular_polygon: new (za, zb ,nb)
local type = 'regular_polygon'
local table = regular_ (za , zb , nb)
local center = za
local through = zb
local angle = 2 * math.pi/nb
local exradius = point.abs (zb-za)
local circle = circle : new (za,zb)
local inradius = exradius * math.cos(math.pi/nb)
local side = exradius * math.sin(math.pi/nb)
local next = table[2]
local first = table[1]
local proj = projection_ (first,next,za)
local o = { type = type,
center = center,
through = through,
exradius = exradius,
inradius = inradius,
table = table,
circle = circle,
nb = nb,
angle = angle,
side = side,
proj = proj }
setmetatable(o, self)
self.__index = self
return o
end
-----------------------
-- points --
-----------------------
-------------------
-- Result -> line
-------------------
-----------------------
-- circles --
-----------------------
function regular_polygon : incircle ()
local next,first
next = self.table[2]
first = self.table[1]
return circle : new ( self.center , projection_ (first,next,self.center) )
end
-------------------
-- Result -> triangle
-------------------
-------------------
-- Result -> miscellaneous
-------------------
function regular_polygon : name (nm)
for K,V in ipairs(self.table) do
z[nm..K] = V
end
end
return regular_polygon
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