The Weingarten Map

This page is a sub-page of our page on The Embedding = The Second Fundamental Form.

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Flying Carpet (z = xy) approximate Weingarten map (anim 3):

The interactive simulation that created this movie

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Parametric Surface – approximate Weingarten map Q:

The interactive simulation that created this movie.

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Helicoid – approximate Weingarten map Q:

The interactive simulation that created this movie.

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Flying carpet (z= x^3 + y^3) Weingarten map Q2

The interactive simulation that created this movie.

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Flying Carpet (z = xy) – approximate Weingarten map (anim 2):

The interactive simulation that created this movie.

Flying Carpet Surface (z = xy)- approximate-Weingarten-map.drag.gcf

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Flying Carpet (z = xy) approximate Weingarten map anim1:

The interactive simulation that created this movie.

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Ellipsoid – Weingarten map (close to an umbilic point) Q:

The interactive simulation that created this movie.

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Ellipsoid – approximative Weingarten map Q:

The interactive simulation that created this movie.

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Ellipsoid – Weingarten map Q:

The interactive simulation that created this movie.

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Ellipsoid – approximative Weingarten map (closeUp) Q:

The interactive simulation that created this movie.

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Approximative Weingarten map of an ellipsoid (seen from its focal hyperbola) Q:

The interactive simulation that created this movie.

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The Weingarten map (z=x^3+y^3) Q:

The interactive simulation that created this movie.

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