New Year's Greeting Card using Mandelbrot Set

Today, I wrote new year's greeting cards.

In Japan, there are twelve types of zodiac(animal symbol) for each year, and we often draw the animal in the new year's card.

The zodiac of next year is sheep, but I thought it's boring to draw sheep merely.

So, I searched sheep in the mandelbrot set which is represented as follows:

z_n=(z_n)^2+C,

where C is a complex number, and interestingly, this complex sequence represents fractal(fractal means the shape has many various self-similar patterns).

And after a while, I found sheep-likes shape in the square of the diameter 4.57321575822222e-8 which was centered at the coordinate (-1.74972831529409, -3.35584316649456e-10) .

[ Colorful image ]
http://kano.arkoak.com/daily/mandel0.jpg

[ Tone curve corrected image ]
http://kano.arkoak.com/daily/mandel.jpg

I decided to use the sheep hidden in the mandelbrot set, and then, I drew sheep's eyes additionally and printed it.

[ Result of trimming and rotating and adding an eye. ]
http://kano.arkoak.com/daily/sheep.jpg

Beautiful sheep shaped mathematical was completed!

今日は、年賀状を書きました。

日本では、12種類の干支が各年に存在し、我々はよくその年の干支を年賀状に描きます。

来年の干支は羊ですが、私は単に羊を描くだけではつまらないと思いました。

そこで、次の式で表されるマンデルブロ集合の中から、羊を探しました。

z_n=(z_n)^2+C,

ここでCは複素数を表し、そして面白いことに、この複素数列はフラクタルを表します（フラクタルとは、様々な自己相似のパターンを持つ図形を意味します）。

そして暫くして、私は座標 (-1.74972831529409, -3.35584316649456e-10) を中心とした直径 4.57321575822222e-8 の正方形領域内に、羊のような形を見つけました。

私はマンデルブロ集合の中に隠れていたこの羊を利用することを決め、そして羊に目を追加で描き、プリントしました。

数学的形状をした美しい羊の完成です！

• Today, I wrote new year's greeting cards.
• Today, I wrote New Year's greeting cards.

• In Japan, there are twelve types of zodiac(animal symbol) for each year, and we often draw the animal in the new year's card.
• In Japan, there are twelve zodiac signs, one for each year, and we often draw the upcoming year's animal on the New Year's card(s).

• The zodiac of next year is sheep, but I thought it's boring to draw sheep merely.
• The zodiac sign for next year is the sheep, but I thought it would be boring to merely draw sheep.

• So, I searched sheep in the mandelbrot set which is represented as follows:
• So, I searched for sheep in the Mandelbrot set, which is represented as follows:

• where C is a complex number, and interestingly, this complex sequence represents fractal(fractal means the shape has many various self-similar patterns).
• where C is a complex number, and interestingly, this complex sequence represents a fractal (fractal means the shape has many various self-similar patterns).

• And after a while, I found sheep-likes shape in the square of the diameter 4.57321575822222e-8 which was centered at the coordinate (-1.74972831529409, -3.35584316649456e-10) .
• And after a while, I found a sheep-like shape in the square of the diameter 4.57321575822222e-8, which was centered at the coordinate (-1.74972831529409, -3.35584316649456e-10).

• I decided to use the sheep hidden in the mandelbrot set, and then, I drew sheep's eyes additionally and printed it.
• I decided to use the sheep hidden in the Mandelbrot set. Then, I drew sheep's eyes and printed it.

  I think it would be better to split this into two sentences.
  You could also say, "I added (on) sheep's eyes."

• Beautiful sheep shaped mathematical was completed!
• A beautiful sheep-shaped mathematical set was completed!

This sounds like a really creative way to decorate New Year's cards! (:

• New Year's Greeting Card using Mandelbrot Set
• New Year's Greeting Card (made) using Mandelbrot Set

• where C is a complex number, and interestingly, this complex sequence represents fractal(fractal means the shape has many various self-similar patterns).
• where C is a complex number, and interestingly (or: and what's interesting is that), this complex sequence represents fractal (fractal means the shape has many various self-similar patterns).

Wow this is super nerdy (in a good way). And awesome^^

• New Year's Greeting Card using Mandelbrot Set
• This sentence is perfect! No correction needed!

• Today, I wrote new year's greeting cards.
• Today, I wrote New Years greeting cards.

  We should capitalize the names of holidays, such as "Christmas", "Hanukkah", and "New Years".

• In Japan, there are twelve types of zodiac(animal symbol) for each year, and we often draw the animal in the new year's card.
• In Japan, there are twelve types of zodiacs (animal symbols), one for each year, and we often draw the animal in the New Years card.

  "Zodiac" is a countable noun, and so is "symbol".
  
  I think you meant to write "one for each year" because otherwise, the sentence is misleading, saying that there are twelve for every year. :)

• The zodiac of next year is sheep, but I thought it's boring to draw sheep merely.
• The zodiac of next year is the sheep, but I thought that it's boring to merely draw a sheep merely.

  This is more natural. :)

• So, I searched sheep in the mandelbrot set which is represented as follows:
• So, I searched for a sheep in the Mandelbrot set which is represented as follows:

• where C is a complex number, and interestingly, this complex sequence represents fractal(fractal means the shape has many various self-similar patterns).
• where C is a complex number, and interestingly, this complex sequence is in the shape of a fractal (fractal is a shape that has many various self-similar patterns).

  This is more natural. :)

• And after a while, I found sheep-likes shape in the square of the diameter 4.57321575822222e-8 which was centered at the coordinate (-1.74972831529409, -3.35584316649456e-10) .
• And after a while, I found sheep-likes shapes in the square of the diameter 4.57321575822222e-8 which was centered at the coordinate (-1.74972831529409, -3.35584316649456e-10) .

  We write "sheep-like shapes" with the plural on the shapes because "sheep-like" is just an adjective. "Shape" is the actual noun that we can make plural, like in "rectangular shapes" and "green shapes". :)

• I decided to use the sheep hidden in the mandelbrot set, and then, I drew sheep's eyes additionally and printed it.
• I decided to use the sheep hidden in the Mandelbrot set, and then, I drew eyes on the sheep and printed it.

• Beautiful sheep shaped mathematical was completed!
• Beautiful sheep shaped mathematical was completed!

Do you have a picture?? I only have this little monkey for you :)

http://imgur.com/ayTUAc6