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How many parametrisations are needed to cover a sphere?

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#differential-geometry #surfaces #spheres #parametrization
309
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Any tangent vector field on S^2 has a singular point

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#differential-geometry #surfaces #vector-fields #spheres #singularity
265
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Fundamental form of explicit surface

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#differential-geometry #surfaces #parametrization
651
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Total Gaussian curvature

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#differential-geometry #surfaces #curvature #compact-manifolds
250
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Representing results of CSG operations with spline-based surfaces

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#surfaces #computational-geometry
524
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3D Analogue of a Catenary

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#geometry #surfaces
1.2k
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Suppose a surface contains a straight line. How can I prove that all the points on this line have non-positive Gaussian curvature?

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#differential-geometry #surfaces
39
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Need help understanding what the curve made by two or three intersecting surfaces looks like

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#multivariable-calculus #vectors #3d #surfaces #parametric
1k
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Degree of map between surfaces of genus $g>1$ is $1$, $0$ or $-1$

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#differential-topology #surfaces
3.3k
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Ray intersecting a quad mesh

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#geometry #vectors #3d #surfaces #quadrilateral
112
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Proper application of Surface Area of Revolution formulae?

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#calculus #definite-integrals #surfaces
4.1k
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Definition of a regular surface

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#differential-geometry #surfaces
574
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Optimisation of a juice box: finding the least possible surface area that can hold the most volume

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#calculus #optimization #surfaces #volume
169
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Finding the derivative of an equation

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#calculus #surfaces #volume
768
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Prove Euler characteristic satisfies $\chi(X \times Y)=\chi(X)\chi(Y)$ for polyhedra $X$ and $Y$

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#general-topology #algebraic-topology #surfaces #products #simplicial-complex

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