# Type of function

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What's the name for a function that has multiple answers per single input. Attached is an illustration.

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Here is an example of the (backwards) s shape, quaternion fractal style.

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The average desktop 3D printer is not capable of making this shape. Only Shapeways works, where the parts are suspended in powder.

I am wondering what this limitation is called.

Edited by sjhalayka

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I am wondering what this limitation is called.

Gravity :)

But more seriously, problems usually occur due to the layer-by-layer process. That shape you posted would have to start off as multiple separate regions (two obvious ones and several smaller, less-obvious ones), then be joined in the middle. Suspending the pieces is probably required to prevent the two separated regions from falling over or drifting before they get connected.

Any isolated regions which are not supported underneath would need to either be held up by the print head (if there is one) or supported by some kind of powder or modified to include a break-away support section. Edited by Nypyren

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What's the name for a function that has multiple answers per single input. Attached is an illustration.

You realy should mind that such a function does not exist.

Equations are multidimensional functions, and what you observe as their result is still a bijection of input and result. For example you can have a function of x,y that defines surface, but it cannot define a concave surface (it can for example define a half-sphere, but not a 3/4 sphere).

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I am wondering what this limitation is called.

Gravity :)

But more seriously, problems usually occur due to the layer-by-layer process. That shape you posted would have to start off as multiple separate regions (two obvious ones and several smaller, less-obvious ones), then be joined in the middle. Suspending the pieces is probably required to prevent the two separated regions from falling over or drifting before they get connected.

Any isolated regions which are not supported underneath would need to either be held up by the print head (if there is one) or supported by some kind of powder or modified to include a break-away support section.

Ha!

Yes, when Shapeways prints out plastic, there is the hard-packed powder to counteract gravity. :) Most desktop printers that I've seen are not like this. :(

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Since the proper term has not been mentioned yet: It's a relation. A function is just a relation with the additional requirement that each input is related to exactly one output

Edited by kloffy

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i cant give you the english answer but in my language its funkcja n stopnia that means something like function of n 'grade'

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