You wake up in a universe with a different number of spatial dimensions.
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You wake up in a universe with a different number of spatial dimensions.
Your senses are confused, and you’re too embarrassed to ask someone on the street “Hey, how many dimensions does space have?”
But then you chance upon someone who likes mathematical puzzles, and ask them, “If I picked two points at random inside a hypercubic crate, what would the probability be that the line joining them intersected two opposite sides of the crate?”
They scribble on some paper for a while, then reply “One ninth.”
How many dimensions does space have here?
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F myrmepropagandist shared this topic
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You wake up in a universe with a different number of spatial dimensions.
Your senses are confused, and you’re too embarrassed to ask someone on the street “Hey, how many dimensions does space have?”
But then you chance upon someone who likes mathematical puzzles, and ask them, “If I picked two points at random inside a hypercubic crate, what would the probability be that the line joining them intersected two opposite sides of the crate?”
They scribble on some paper for a while, then reply “One ninth.”
How many dimensions does space have here?
"Your senses are confused, and you’re too embarrassed to ask someone on the street “Hey, how many dimensions does space have?”"
So relatable. I hate when this happens.
As for the question is this about what it means to be convex in higher dimensions? I have a hard time separating an intersection in a model or shadow of a higher dimensional object from a real intersection. And I thought higher dimensional hypercubes were all convex...