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Meeting other sides of a cube world, cheapest method?

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Lets say that somehow a cube world came into being, on an axial tilt around its sun, four of the sides are in-habituated by intelligent life, one of these sides (relatively) quickly realized that their world is cubic and wondered what exists on the other sides. After thousands of years they have decided (in a space race-esque fashion) that they must reach the other sides. But they are still at the drawing board, looking for the cheapest method.

They obviously have a lot of choices, from traversing the high gravity and inhospitable edges to building a rocket to just plain digging. Assuming that they have the same technology as us, what is the cheapest method of reaching other sides of a cube world?

The dimensions of my cube world are 7000 by 7000 by 7000 kilometers, the gravity attracts everything to its very center point

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This post was sourced from https://worldbuilding.stackexchange.com/q/59020. It is licensed under CC BY-SA 3.0.

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