Tesseract in Armstrong's satchel?
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- Chiclo
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Tesseract in Armstrong's satchel?
It occurred to me the other day - the old argument that we used to have about Armstrong's satchel functioning like a tesseract, a four-dimensional cube, would still have limits to how much it could store. Especially if it is a regular tesseract, then its volume would only be about eight times that of the satchel itself, especially if the items are arranged in such a fashion that an arm can come from a three-dimensional space into the tesseract and grab one of the three-dimensional objects and pull it from the four-dimensional space.
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Re: Tesseract in Armstrong's satchel?
True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
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Re: Tesseract in Armstrong's satchel?
And what if inside the tesseract was another tesseract? Or nested tesseracts like a Russian Matryoska Doll?
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Re: Tesseract in Armstrong's satchel?
If it were a fifth-dimensional space, it would not be a tesseract.greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
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Re: Tesseract in Armstrong's satchel?
If a fourth-dimensional object can't exist in five dimensions, are you saying two-dimensional squares don't exist in the three-dimensional world?Chiclo wrote:If it were a fifth-dimensional space, it would not be a tesseract.greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
... somewhere, Edwin Abbott is crying.
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Re: Tesseract in Armstrong's satchel?
Can two-dimensional objects truly exist in three-dimensional space, or only projections of two-dimensional objects displayed on three-dimensional ones?greg wrote:If a fourth-dimensional object can't exist in five dimensions, are you saying two-dimensional squares don't exist in the three-dimensional world?Chiclo wrote:If it were a fifth-dimensional space, it would not be a tesseract.greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
... somewhere, Edwin Abbott is crying.
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Re: Tesseract in Armstrong's satchel?
sure they can...it just implies that the measurement in one or more of the desired dimensions is nil or 0...that wouldn't preclude it from existing...Chiclo wrote:Can two-dimensional objects truly exist in three-dimensional space, or only projections of two-dimensional objects displayed on three-dimensional ones?greg wrote:If a fourth-dimensional object can't exist in five dimensions, are you saying two-dimensional squares don't exist in the three-dimensional world?Chiclo wrote:If it were a fifth-dimensional space, it would not be a tesseract.greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
... somewhere, Edwin Abbott is crying.
Glomes makes me cry too.
isn't a surface a 2 dimensional representation wrapped onto a 3 dimensional object? I suppose that might be what you are considering a projection...but I would think you mean more like a shadow...
how about waves? are waves an object?
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Re: Tesseract in Armstrong's satchel?
myron wrote:sure they can...it just implies that the measurement in one or more of the desired dimensions is nil or 0...that wouldn't preclude it from existing...Chiclo wrote:Can two-dimensional objects truly exist in three-dimensional space, or only projections of two-dimensional objects displayed on three-dimensional ones?greg wrote:If a fourth-dimensional object can't exist in five dimensions, are you saying two-dimensional squares don't exist in the three-dimensional world?Chiclo wrote:If it were a fifth-dimensional space, it would not be a tesseract.greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
... somewhere, Edwin Abbott is crying.
Glomes makes me cry too.
isn't a surface a 2 dimensional representation wrapped onto a 3 dimensional object? I suppose that might be what you are considering a projection...but I would think you mean more like a shadow...
how about waves? are waves an object?
I knew a few waves that objected to me trying to catch them in La Jolla..
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Re: Tesseract in Armstrong's satchel?
Sure, it is possible but where the rubber meets the road, these 2-D items just don't exist in the real world. There is always a measurable third dimension. But we are purely talking theoretically here anyways, so I will concede the point.myron wrote:sure they can...it just implies that the measurement in one or more of the desired dimensions is nil or 0...that wouldn't preclude it from existing...Chiclo wrote:Can two-dimensional objects truly exist in three-dimensional space, or only projections of two-dimensional objects displayed on three-dimensional ones?greg wrote:If a fourth-dimensional object can't exist in five dimensions, are you saying two-dimensional squares don't exist in the three-dimensional world?Chiclo wrote:If it were a fifth-dimensional space, it would not be a tesseract.greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
... somewhere, Edwin Abbott is crying.
Glomes makes me cry too.
isn't a surface a 2 dimensional representation wrapped onto a 3 dimensional object? I suppose that might be what you are considering a projection...but I would think you mean more like a shadow...
how about waves? are waves an object?
I did probably use the wrong word with a projection.
I cannot think of an example of a wave that would be an object, only an action an object is doing.
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Re: Tesseract in Armstrong's satchel?
What's the third dimension of a shadow?Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
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Re: Tesseract in Armstrong's satchel?
greg wrote:What's the third dimension of a shadow?Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
This is what happens when you try to work...
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Re: Tesseract in Armstrong's satchel?
Ba-dum tish!jxm640 wrote:greg wrote:What's the third dimension of a shadow?Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
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Re: Tesseract in Armstrong's satchel?
Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.greg wrote:What's the third dimension of a shadow?Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
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Re: Tesseract in Armstrong's satchel?
True, but couldn't a 5th-dimension object create a 4th dimensional tesseract if projected onto an object like... the inside of a satchel?Chiclo wrote:Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.greg wrote:What's the third dimension of a shadow?Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
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Re: Tesseract in Armstrong's satchel?
Wouldn't that be a three-dimensional projection which is as substantive as the darkness inside the satchel?greg wrote:True, but couldn't a 5th-dimension object create a 4th dimensional tesseract if projected onto an object like... the inside of a satchel?Chiclo wrote:Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.greg wrote:What's the third dimension of a shadow?Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
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Re: Tesseract in Armstrong's satchel?
Now I'm getting confused. I think we can both agree the mathematics behind higher dimensions definitely predicts a talking mackerel fishman named Davey. Anything else is just speculation.Chiclo wrote:Wouldn't that be a three-dimensional projection which is as substantive as the darkness inside the satchel?greg wrote:True, but couldn't a 5th-dimension object create a 4th dimensional tesseract if projected onto an object like... the inside of a satchel?Chiclo wrote:Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.greg wrote:What's the third dimension of a shadow?Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
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Re: Tesseract in Armstrong's satchel?
HIS NAME IS RICHARD!
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Re: Tesseract in Armstrong's satchel?
Only the Shadow knowsChiclo wrote:Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.greg wrote:What's the third dimension of a shadow?Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
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