Summary

DescriptionRegular polygon 16 annotated.svg	English: Regular hexadecagon (hexakaidecagon) with annotation.
Date	19 July 2013, 12:24:31
Source	Own work
Author	László Németh
Other versions	Regular 3-gon Regular 4-gon Regular 5-gon Regular 6-gon Regular 7-gon Regular 8-gon Regular 9-gon Regular 10-gon Regular 11-gon Regular 12-gon Regular 13-gon Regular 14-gon Regular 15-gon Regular 16-gon Regular 17-gon Regular 18-gon Regular 19-gon Regular 20-gon
SVG development InfoField	The SVG code is valid.   This geometry was created with OpenOffice.org.

; Created in LibreOffice 4 with this LibreLogo program.
; Usage: Copy it in an English language document in LibO Writer,
; and click on the Start icon of the View»Toolbar»Logo toolbar.

TO superior num prevnum
  s = “”
  FOR i IN STR num [
    s = s + “⁰¹²³⁴⁵⁶⁷⁸⁹”[INT i]
  ]
  IF NOT prevnum % 10 = 1 [ s = “ ” + s ] ; narrow space
  OUTPUT s
END

TO inferior num
  s = “”
  FOR i IN STR num [
    s = s + “₀₁₂₃₄₅₆₇₈₉”[INT i]
  ]
  OUTPUT s
END

CLEARSCREEN HIDETURTLE FONTSIZE 18 FONTFAMILY “DejaVu Sans”
FOR vertices IN [7, 11, 13, 14, 16, 17, 19] [
;    PICTURE “poly/regular_polygon_%d_annotated.svg” % vertices [ ; from LibO 4.1.1
    PICTURE [
        HOME FILLCOLOR “WHITE” PENCOLOR “SILVER” 
        PENDOWN PENSIZE 2 CIRCLE 400
        β = 360/vertices
        q = vertices // 4
        CIRCLE [80 + vertices * 14, 80 + vertices * 14, β * q, β * (q + 1)]
        FONTCOLOR “SILVER”
        IF vertices > 18 [ f = 0.004 ] [ f = 0.005 ]
        HEADING β * q + β * 0.5 PENUP
        FORWARD (80 + vertices * 14) * (0.3 + (f * vertices))
        HEADING 0
        s1 = superior (360 % vertices, 360 // vertices)
        s2 = inferior vertices
        LABEL “%d%s⁄%s°” % (β, s1, s2)
        HOME HEADING 0 PENDOWN
        dots = []
        REPEAT vertices [
                FORWARD 200
                where = POSITION
                dots = dots + [where]
                BACK 200 RIGHT β
        ]
        HOME PENSIZE 2 CIRCLE 10
        PENCOLOR “BLACK” FONTCOLOR “BLACK”
        α = ((vertices-2)/vertices)*180
        PENUP FORWARD 200 PENDOWN
        CIRCLE [100 + 105/vertices, 100 + 105/vertices, 180 – α/2, 180 + α/2]
        s1 = superior ((vertices-2) * 180 % vertices, INT α)
        PENUP BACK 20 + 70/vertices LABEL “%d%s⁄%s°” %  (α, s1, s2)
        HOME PENUP PENSIZE 4 PENUP
        FOR i IN dots + dots[0:1] [ POSITION i PENDOWN ] PENSIZE 2
        FOR i IN dots [ PENUP POSITION i PENDOWN CIRCLE 10 ]
    ]
]

Licensing

László Németh, the copyright holder of this work, hereby publishes it under the following license:

This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.

The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission. http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse