# Leopold

## Equation

\[ 1000 x^2y^2z^2 + 3x^2+3y^2+z^2=1 \]

## Properties:

- degree 6
- closed
- smooth

## Some story

Decomposed with default bertini and bertini_real settings. Often, I have to increase the setting `sharpendigits`

so that points which are near each other are identified as such. But this smooth surface is so nice that it just popped right out.

The first one I printed almost failed. I very slightly underestimated the amount of filament on the spool, and it ran out at the top. So, I used a little from a different color to finish it off, having left it on the printer.

input