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
Jun 3, 2021
1 fork
16 stars
// Defining the branches of x^x
function x2x(x, k) {
if (math.abs(x) < 0.000001) {
return math.complex(1, 0);
} else {
var z = math.complex(x);
var twoPiI = math.complex(0, 1).mul(2 * math.pi);
return math.exp(z.mul(z.log().add(twoPiI.mul(k))));
}
}
thread = (k) => [
d3.range(-4, 2, 0.001).map(function (x) {
let xx = x2x(x, -k);
return [2 * x, xx.re, xx.im];
}),
d3.range(-4, 2, 0.001).map(function (x) {
let xx = x2x(x, k);
return [2 * x, xx.re, xx.im];
})
]
// There will be 2*N+1 of branches or threads
N = 15
// Multiplicative factor by which the transparency of higher order branches are dimmed
T = 1.08
import { Range } from "@observablehq/inputs"
import { create_tube } from '@mcmcclur/space-curves-and-tubes'
import {
show_x3d,
create_indexedLineSet,
create_arrow
} from "@mcmcclur/x3dom-primitives"
math = require("mathjs@9")
d3 = require("d3-selection@2", "d3-array@2")
// Supress the annoying dashed box that appears around X3Dom display.
html`<style>
canvas {
outline: none;
}
</style>`
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