Recent content by Carol_m

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    Projecting 3-Sphere onto a Plane | Stereographic Projection

    Hello xts, Thank you for your reply and sorry if I am being too naive but I do not follow your answer. Could you please explain me a bit more? (sorry but this is not my background) From what I have read in textbooks I know that you can project the surface of a sphere in a 2-D plane, my...
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    Projecting 3-Sphere onto a Plane | Stereographic Projection

    Hello, Is it possible to project a hypersphere (a 3-sphere) onto a plane? is this possible using stereographic projection? Please, if this is possible I would appreciate a nice explain me about how to do it. Thank you! Carol
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    Sphere Projection: Clarification Needed

    Hi Coelho, Thank you for pointing that out, I did not think about it! On the other hand, do you know if the steregraphic projection formula that I wrote is correct? Thanks for your help in advance :)
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    Sphere Projection: Clarification Needed

    Hello, I was wondering if anyboday can clarify this for me. I am trying to project a sphere into a plane, I am using the stereogriphic projection which I believe in cartesian coordinates is: x'=x/(R^2-z) y'=y/(R^2-z) where x' and y' are the coordinates in the plane, (x,y,z) the...
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    Squeeze Mapping: Transform Circle to Quarter Moon Shape

    Hi coelho! Thank you very much for your detailed response it has been really useful! many thanks to henry_m too for the help! You guys are great! Cheers,
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    Squeeze Mapping: Transform Circle to Quarter Moon Shape

    Hi henry_m, Please check the figure attached so you can see what I meant about the "quarter moon" shape. Sorry if I wasn't clear, I didn't know how to call it :) I am an engineer and this is part of a problem that I need to solve. Basically, I want to map every point in the circle to a...
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    Conformal Mapping: Transform a Circle to a Rectangle

    Hi JasonRF, It certainly needs to be conformal... Thank you for your great answer I will look into this direction, and sorry I posted my reply with the attached figure before reading yours.
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    Conformal Mapping: Transform a Circle to a Rectangle

    Basically my question is: I have a circle an every point in the circle as (x,y). I need a transformation that changes every point in the circle to a point in a rectangle (x',y') so I could write x' in terms of x and y' in terms of y. If you look in the attachement you can see what I mean...
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    Squeeze Mapping: Transform Circle to Quarter Moon Shape

    Hello! I am trying to transform a circle into a "quarter moon shape". This is that every point in the circle is mapped into the "quarter moon shape" - therefore squeezed. In particular I am looking for a expression that relates x x' and y y' ... Can any bright mind help me :) ? Thank you
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    Conformal Mapping: Transform a Circle to a Rectangle

    Dear henry_m, Thank you very much for your reply. Could you please give me a reference to this so I can find the explicit formula? Thanks again!
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    Conformal Mapping: Transform a Circle to a Rectangle

    Hello! Please I need some help with this: Is it possible to transform a circle into a rectangle? If so what would be the expressions of x' and y' in terms of x and y. Thank you in advance!
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