What Do We Encounter Going Straight Up Out Of The Solar System?

So if our solar system is more or less flat in terms of the planetary rotations around the sun (I’m using typical pictorial depictions of the solar system), what is up and down from our solar system and galaxies? It doesn’t seem like above and below of light years in space is ever explored. Or are the (for example) constellations examples of up and down in space?
"Draco and Ursa Minor", plate 1 in Urania's Mirror, a set of celestial cards accompanied by A familiar treatise on astronomy. Jehoshaphat Aspin, Public domain

"Draco and Ursa Minor", plate 1 in Urania's Mirror, a set of celestial cards accompanied by A familiar treatise on astronomy. Jehoshaphat Aspin, Public domain

The solar system is indeed pretty much a flat sheet, with the major planets all orbiting in a very thin plane surrounding the Sun. Part of the reason we don’t tend to send spacecraft in the 'up' direction, out of this thin plane, is simply that there’s not very much...

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