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Thread: Marty Leeds: We Need to Talk About Flat Earth

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    Marty Leeds: We Need to Talk About Flat Earth

    Marty Leeds is a serious individual who has been willing to talk about questions raised in the flat earth movement. To do so does not mean that a person believes the earth is flat. It means that there are good, scientific questions in the movement that need addressing. In my opinion, the flat earth movement will eventually lead to needed modifications in the existing model and "established science."


    Source: https://www.youtube.com/watch?v=9xJKmKj3Vtk

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    Senior Member NotAPretender's Avatar
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    that's really funny...

    Seems reasonable but here's my thought. And bear in mind that I'm making this up as i go...

    Curvature is a function of triangulation. So the higher one goes the greater the line of sight but the viewpoint is lacking triangulation. If Marty Leeds was fifty miles up in the air and his eyes were sixty miles apart I suspect he would recognize curvature. Just as astronuts on the ISS would need eye separation of 25,000 miles to appreciate 3-dimensional curvature. He seems like a very smart guy, I think he's yanking our chain.

    NAP

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    Quote Originally posted by NotAPretender View Post
    . . . I think he's yanking our chain.
    I doubt that, judging by his other work.

    Michael Tellinger has also spoken about flat earth. He had to stop, however, due to the ridicule he was subjected to.

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    Senior Member NotAPretender's Avatar
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    Have fun with this one, It may or may not apply:

    Curvature Approximation For Triangulated Surfaces

    Abstract
    Given a set of points and normals on a surface and a triangulation associated with them a simple scheme for approximating the principal curvatures at these points is developed. The approximation is based on the fact that a surface can locally be represented as the graph of a bivariate function. Quadratic polynomials are used for this local approximation. The principal curvatures at a point on the graph of such a quadratic polynomial is used as the approximation of the principal curvatures at an original surface point.

    1. Introduction:

    Methods for exactly calculating and approximating curvatures are important in geometric modeling for two reasons. In order to judge the quality of a surface one commonly computes curvatures for points on the surface, renders the surface's curvature as a texture map onto the surface and can thereby detect regions with undesired curvature behavior, such as surface regions locally changing from an elliptic to a hyperbolic shape. On the other hand, surface schemes are being developed requiring higher order geometric information as input, e.g., normal vectors and normal curvatures.

    Definitions and theorems from classical differential geometry are reviewed as far as they are needed for the discussion. In classical differential geometry a surface is understood as a mapping from R2 to R3, x(u) = (x(u, v), y(u, v), z(u, v))T. (1)

    The standard formulae are then used to derive techniques for approximating normal curvatures when a two-dimensional triangulation of a finite point set with associated outward unit normal vectors is given in three-dimensional space. Consequently, curvature estimates can be incorporated into existing surface generating schemes allowing curvature input. The quality of the curvature approximation is tested for triangulated surfaces obtained from a known parametric surface of the form x(u) = (u, v,f(u, v)T.
    Last edited by NotAPretender, 2nd October 2017 at 19:37.

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    Quote Originally posted by NotAPretender View Post
    Curvature Approximation For Triangulated Surfaces

    Abstract
    Given a set of points and normals on a surface and a triangulation associated with them a simple scheme for approximating the principal curvatures at these points is developed. The approximation is based on the fact that a surface can locally be represented as the graph of a bivariate function. Quadratic polynomials are used for this local approximation. The principal curvatures at a point on the graph of such a quadratic polynomial is used as the approximation of the principal curvatures at an original surface point.

    1. Introduction:

    Methods for exactly calculating and approximating curvatures are important in geometric modeling for two reasons. In order to judge the quality of a surface one commonly computes curvatures for points on the surface, renders the surface's curvature as a texture map onto the surface and can thereby detect regions with undesired curvature behavior, such as surface regions locally changing from an elliptic to a hyperbolic shape. On the other hand, surface schemes are being developed requiring higher order geometric information as input, e.g., normal vectors and normal curvatures.

    Definitions and theorems from classical differential geometry are reviewed as far as they are needed for the discussion. In classical differential geometry a surface is understood as a mapping from R2 to R3, x(u) = (x(u, v), y(u, v), z(u, v))T. (1)

    The standard formulae are then used to derive techniques for approximating normal curvatures when a two-dimensional triangulation of a finite point set with associated outward unit normal vectors is given in three-dimensional space. Consequently, curvature estimates can be incorporated into existing surface generating schemes allowing curvature input. The quality of the curvature approximation is tested for triangulated surfaces obtained from a known parametric surface of the form x(u) = (u, v,f(u, v)T.
    Are you the author?

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    oh, he** no. If I was that smart, I would be a mathematician and I hate mathematicians...they s*ck!

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    Quote Originally posted by NotAPretender View Post
    oh, he** no. If I was that smart, I would be a mathematician and I hate mathematicians...they s*ck!
    You hate Dumpster Diver?
    = DEATH BEFORE DISHONOR =

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    Senior Member NotAPretender's Avatar
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    Dumpster Diver is a mathematician...omigod! That explains a lot.

    No, I don't hate him but give it some time...

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    Quote Originally posted by NotAPretender View Post
    oh, he** no.
    Is your source a paper by B. Hamann of Mississippi State University?

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    Senior Member NotAPretender's Avatar
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    yes, that's it, Keep Trying

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    Quote Originally posted by NotAPretender View Post
    yes, that's it, Keep Trying
    Did you randomly pick it, or does it have some significance for you?

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    Senior Member NotAPretender's Avatar
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    it seemed to delve further into the topic and it was the 'best' source I could find. Do you have a connection?

    NAP

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    Quote Originally posted by NotAPretender View Post
    Do you have a connection?
    No.

    I'm just a very curious person who tries to understand things I really don't have the aptitude for.

    I survive by asking questions repeatedly of those who seem to have that aptitude.

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    Senior Member NotAPretender's Avatar
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    I understand,

    Between you and I, what is discussed in that 'white paper' is pretty hi-falutin'. That's why I suggested it may or may not apply. It doesn't directly address, in so many words, what Leeds was alluding.

    NAP

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    Quote Originally posted by NotAPretender View Post
    Dumpster Diver is a mathematician...omigod! That explains a lot.

    No, I don't hate him but give it some time...
    Dude. Ever heard of Sacred Geometry? It's MATH!

    deal wit it.
    "Holding onto anger is like drinking poison and expecting the object of your anger to die” ~ Anon
    "When you come to a fork in the road, take it." ~Yogi Berra
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    “When I die, I want to die like my grandfather who died peacefully in his sleep. Not screaming like all the passengers in his car.” ~Will Rogers
    "If life gives you melons...you might be dyslexic" ~ Aixelsyd Dnarber

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