Tesseract in Armstrong's satchel?

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Tesseract in Armstrong's satchel?

Post by Chiclo »

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?

Post by greg »

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?

Post by jmatt »

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?

Post by Chiclo »

greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
If it were a fifth-dimensional space, it would not be a tesseract.

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Re: Tesseract in Armstrong's satchel?

Post by greg »

Chiclo wrote:
greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
If it were a fifth-dimensional space, it would not be a tesseract.
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?

... somewhere, Edwin Abbott is crying.

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Re: Tesseract in Armstrong's satchel?

Post by Chiclo »

greg wrote:
Chiclo wrote:
greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
If it were a fifth-dimensional space, it would not be a tesseract.
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?

... somewhere, Edwin Abbott is crying.
Can two-dimensional objects truly exist in three-dimensional space, or only projections of two-dimensional objects displayed on three-dimensional ones?

Glomes makes me cry too.

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Re: Tesseract in Armstrong's satchel?

Post by myron »

Chiclo wrote:
greg wrote:
Chiclo wrote:
greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
If it were a fifth-dimensional space, it would not be a tesseract.
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?

... somewhere, Edwin Abbott is crying.
Can two-dimensional objects truly exist in three-dimensional space, or only projections of two-dimensional objects displayed on three-dimensional ones?

Glomes makes me cry too.
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...

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?

Post by Aram »

myron wrote:
Chiclo wrote:
greg wrote:
Chiclo wrote:
greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
If it were a fifth-dimensional space, it would not be a tesseract.
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?

... somewhere, Edwin Abbott is crying.
Can two-dimensional objects truly exist in three-dimensional space, or only projections of two-dimensional objects displayed on three-dimensional ones?

Glomes makes me cry too.
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...

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.. facepalm :?
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Re: Tesseract in Armstrong's satchel?

Post by Chiclo »

myron wrote:
Chiclo wrote:
greg wrote:
Chiclo wrote:
greg wrote:True, but if it was a fifth-dimensional space, it could be like the "library" at the end of Interstellar.
If it were a fifth-dimensional space, it would not be a tesseract.
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?

... somewhere, Edwin Abbott is crying.
Can two-dimensional objects truly exist in three-dimensional space, or only projections of two-dimensional objects displayed on three-dimensional ones?

Glomes makes me cry too.
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...

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?
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.

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?

Post by greg »

Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
What's the third dimension of a shadow? :hm:

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Re: Tesseract in Armstrong's satchel?

Post by jxm640 »

greg wrote:
Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
What's the third dimension of a shadow? :hm:
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Re: Tesseract in Armstrong's satchel?

Post by greg »

jxm640 wrote:
greg wrote:
Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
What's the third dimension of a shadow? :hm:
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Re: Tesseract in Armstrong's satchel?

Post by Chiclo »

greg wrote:
Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
What's the third dimension of a shadow? :hm:
Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.

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Re: Tesseract in Armstrong's satchel?

Post by greg »

Chiclo wrote:
greg wrote:
Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
What's the third dimension of a shadow? :hm:
Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.
True, but couldn't a 5th-dimension object create a 4th dimensional tesseract if projected onto an object like... the inside of a satchel? :D

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Re: Tesseract in Armstrong's satchel?

Post by Chiclo »

greg wrote:
Chiclo wrote:
greg wrote:
Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
What's the third dimension of a shadow? :hm:
Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.
True, but couldn't a 5th-dimension object create a 4th dimensional tesseract if projected onto an object like... the inside of a satchel? :D
Wouldn't that be a three-dimensional projection which is as substantive as the darkness inside the satchel?

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Re: Tesseract in Armstrong's satchel?

Post by greg »

Chiclo wrote:
greg wrote:
Chiclo wrote:
greg wrote:
Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
What's the third dimension of a shadow? :hm:
Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.
True, but couldn't a 5th-dimension object create a 4th dimensional tesseract if projected onto an object like... the inside of a satchel? :D
Wouldn't that be a three-dimensional projection which is as substantive as the darkness inside the 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.

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Re: Tesseract in Armstrong's satchel?

Post by Chiclo »

HIS NAME IS RICHARD!

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Re: Tesseract in Armstrong's satchel?

Post by Aram »

Chiclo wrote:
greg wrote:
Chiclo wrote:2-D items just don't exist in the real world. There is always a measurable third dimension.
What's the third dimension of a shadow? :hm:
Is a shadow an object? Without something else for the shadow to show itself upon, it is nothing by itself.
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