Image:Flower-of-Life-91circles36arcs.png

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[edit] Summary

A large "carpet" of the "Flower of Life" hexagonal pattern (where the center of each circle is on the circumference of six surrounding circles of the same diameter) made up of 91 complete circles and 36 partial circular arcs.

To see the most common form of the flower of life pattern (using partial circular arcs, so that the full pattern appears throughout), view Image:Flower-of-Life-19circles36arcs-enclosed.png . To see a form of the flower of life pattern composed of complete circles only (making clear the way in which the pattern is constructed), view Image:Flower-of-Life-61circles.png .

Generated by means of the following PostScript code (change hexsize to have the value 1 in order to see the rosette on the unofficial flag of Padania):

%!
%%%%%%%%%%%%%%%%
% PostScript program to display the "flower of life" pattern (i.e.
% hexagonal pattern of intersecting circles, where the center of
% each circle is on the circumference of six other circles).
%%%  Parameters:
/hexsize 6 def  % number of circles along each side of hexagon
/diam 50 def    % radius of each circle
/linew 1.25 def % thickness of each circle
%%%  Procedures:
gsave 306 396   % change to 297 421 to center on A4 size paper
translate 30 rotate linew setlinewidth/j hexsize 1 sub def j neg 1
j{/k exch def/y k diam mul .75 sqrt mul def/i j j k abs sub add
def gsave i 2 div diam mul neg 0 translate 0 1 i{/z exch def z
diam mul y diam 0 360 arc stroke z 0 ne z i ne and{k j 1 sub eq{z
diam mul y 2 diam mul .75 sqrt mul add diam 180 360 arc stroke}if
k j 1 sub neg eq{z diam mul y 2 diam mul .75 sqrt mul sub diam 0
180 arc stroke}if z 1 eq k 0 ge k j ne and and{z 1.5 sub diam mul
y .75 sqrt diam mul add diam -120 60 arc stroke}if z 1 eq k 0 le k
j neg ne and and{z 1.5 sub diam mul y .75 sqrt diam mul sub diam
-60 120 arc stroke}if z i 1 sub eq k 0 ge k j ne and and{z 1.5 add
diam mul y .75 sqrt diam mul add diam 120 300 arc stroke}if z i 1
sub eq k 0 le k j neg ne and and{z 1.5 add diam mul y .75 sqrt
diam mul sub diam 60 240 arc stroke}if}if z 0 eq k j eq and{z .5
sub diam mul y .75 sqrt diam mul add diam -120 0 arc stroke}if z i
eq k j eq and{z .5 add diam mul y .75 sqrt diam mul add diam -180
-60 arc stroke}if z 0 eq k 0 eq and{z 1 sub diam mul y diam -60 60
arc stroke}if z i eq k 0 eq and{z 1 add diam mul y diam 120 240
arc stroke}if z 0 eq k j neg eq and{z .5 sub diam mul y .75 sqrt
diam mul sub diam 0 120 arc stroke}if z i eq k j neg eq and{z .5
add diam mul y .75 sqrt diam mul sub diam 60 180 arc stroke}if}for
grestore}for grestore showpage
%%EOF

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | ‪中文(简体)‬ | ‪中文(繁體)‬ | zh-yue-hant | +/-