I'm a professor of mathematics at the University of North Carolina Asheville. I've also done a fair amount of consulting work over the years focusing on scientific and data visualization.
I'm happy to be part of the first Observable Ambassador's cohort.
Published
Edited
Jul 18, 2021
1 fork
5 stars
PlotX3DExamples of parametric surfacesDisks for a solid of revolutionShells for a solid of revolutionIntersecting cylindersNon-orientability of the Klein bottleThe xxx^xxx-spindlePlotX3D HyperboloidX3Dom primitivesParametric surfacesSpace curves and tubesHollow cylinderPlotX3D InteractionsUnderstanding X3D viewpointsX3Dom UtilitiesPartial derivativesA PlotX3D animationPolar CoordinatesDouble and iterated integralsLevel surfacesExamples of level surfacesA strange discontinuityTangent plane to a level surfaceUnfolding polyhedraFunctions of two variablesTracing a path on a sphereCooling of a sphereTurntable for PlotX3D (improved)BMWalker via PlotX3DThe Canted HelixAnimated HelixRauzy FractalsThe eleven unfoldings of the cubeWavy spheres
Non-orientability of a Mobius strip
Also listed in…
Math
// A parameterization of the Mobius strip
p = (u, v) => [
(1 + (v * Math.cos(u / 2)) / 2) * Math.cos(u),
(1 + (v * Math.cos(u / 2)) / 2) * Math.sin(u),
(v * Math.sin(u / 2)) / 2
]
// The normal vector at the point p(u,v)
N = (u, v) => [
0.25 *
(Math.sin(u / 2) * (-2 * Math.cos(u) + v * Math.sin(u / 2) * Math.sin(u))),
-(
2 * Math.cos(u / 2) -
2 * Math.cos((3 * u) / 2) +
v * (Math.cos(u) + Math.pow(Math.sin(u), 2))
) / 8,
0.25 * (Math.cos(u / 2) * (2 + v * Math.cos(u / 2)))
]
html`
<style>
canvas {
outline: none;
}
</style>
`
import {
show_x3d,
create_sphere,
create_arrow
} from "@mcmcclur/x3dom-primitives"
import { rotation_vector } from "@mcmcclur/x3dom-utilities"
import { create_surface } from "@mcmcclur/parametric-surfaces"
import { Scrubber } from "@mbostock/scrubber"
Purpose-built for displays of data
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