## Equation:

(196x² + y² - 1) × (196y² + x² - 1)
× (49x² + 98x + y² + y + 49) × (49x² + 98x + y² - y + 49)
× (49y² - 98y + x² + x + 49) × (49y² - 98y + x² - x + 49)
= 100000000

Note:

The swastika here is an ancient Buddhist symbol, not the Nazi one.
It means good luck, auspiciousness, well-being, and prosperity.

The pronunciation of the character 卍 (wàn) in Chinese is the same
as that of the character 萬 or 万 (means 10,000 or ten thousand).

Rewrite the above equation as

[4(7x)² + y² - 1] × [4(7y)² + x² - 1]
× [(7x)² + 2(7²x) + y² + y + 7²] × [(7x)² + 2(7²x) + y² - y + 7²]
× [(7x)² - 2(7²y) + x² + x + 7²] × [(7x)² - 2(7²y) + x² - x + 7²]
= 10000²,

we see that it is really an equation for good luck.
(It uses the lucky number 7 to produce good luck!)

( Mathematical software used: gnuplot )

Related posts:

1. Interesting how just a shape can be creepy. Very interesting equation, though. Got playing with it on desmos... https://www.desmos.com/calculator/de80e9t90j

2. I found a swastica that is really really simple: y^{10^4}-x^{10^4}=xy

1. well, it works with x^50 - y^50 = xy as well, even though its not as accurate, but it works with ^100,^10 and if u have some imagination even with ^4

2. you need to swap the x and y around to actually get a swastica

3. dikke merci

4. That's a racist version of swastika tho. Left-facing, depicted here, is a politically correct version.

3. Well it works well even with (x^20)-(y^20)=xy OR (y^20)-(x^20)=xy

4. dikke merci

5. why i get syntax error when i do Y^20 ? but for x^20 it work

1. Y should not be uppercase