# How to produce difficult variant of Taegeuk symbol? (see images)

The Republic of Korea (or, "South Korea") has a Taegeuk at the centre (essentially, a blue and red yin and yang symbol). This design is derived from the flag of the Korean Empire (used between 1882 and 1910), shown by the following two images:

I know how to produce a regular 'yin-yang' symbol (a circle with two circles with diameters half as long), but I don't know how to make this spiral variant myself. Is there a way to do this, so that the lobes are equal in area and shape, and they tessellate to form a perfect circle? I'm using Adobe Illustrator, so answers applicable to this appreciated.

Thanks.

• Huh, I never noticed before that the symbols around the taegeuk in the Korean flag are the hexagrams for the four elements. Learnt something new today! – Janus Bahs Jacquet Jan 6 '16 at 23:13
• They are picked from the eight original Chinese Bagua, known in Korea as "Pal Gwae". – dw0391 Jan 7 '16 at 3:36
• Exactly—I'd never paid enough attention to the flag to notice that before now. Guess I never really looked very closely at the flag at all. – Janus Bahs Jacquet Jan 7 '16 at 3:38
• Oh, I just realised I wrote hexagrams above. I meant trigrams, of course. – Janus Bahs Jacquet Jan 7 '16 at 3:50
• Eh. You're probably fine. – dw0391 Jan 7 '16 at 3:55

## 1 Answer

Sorry about this, but I have just found the answer to my problem:

Given this, I then created my own using Adobe Illustrator (seen in the following image). The outermost circle I used as one unit (in my case, 100 px diameter).

Thanks anyway.

• First image of answer from: penninetaichi.co.uk/index_files/image10661.jpg – dw0391 Jan 6 '16 at 20:21
• While this solution be ok for your purposes, I think the shape of the spiral is a little "off" when compared to the original image. This only matters if it matters (historical accuracy, or documentative purposes etc). – aaaidan Jan 8 '16 at 1:42