# [Python](https://www.python.org), 73 bytes

```python
x={3*(55,),(89,34,0)}
for s in(-1,1)*3:x|={(s*y,*z)for*z,y in x}
print(x)
````

[Attempt This Online!](https://ato.pxeger.com/run?1=m72soLIkIz9vwYKlpSVpuhY3PStsq421NExNdTR1NCwsdYxNdAw0a7nS8osUihUy8zR0DXUMNbWMrSpqbKs1irUqdbSqNIGSWlU6lUBphYparoKizLwSjQpNiIFQc2HmAwA)

Same approach as @xnor (I think), i.e. flip signs and rotate coordinates random-ish-ly. Only, I'm being more simple-minded about it ;-)

#### Retired [Python](https://www.python.org), 103 bytes

```python
*x,x[7],x[2]=6*[-55,55]
*y,y[11],_,_,y[2]=3*[-34,0,-89,34,0,89]
for a in x,y:*map(print,a,a[1:],a[2:]),
````

[Attempt This Online!](https://ato.pxeger.com/run?1=m72soLIkIz9vwYKlpSVpuhY307UqdCqizWOBhFGsrZlWtK6pqY6paSyXVqVOZbShYaxOPBBWgiSNgZLGJjoGOroWljpghoVlLFdafpFCokJmnkKFTqWVVm5igUZBUWZeiU6iTmK0oVUskDSyitXUgVgHtRVmOwA)

Integer coordinates from @alephalpha / @xnor via @Arnauld.