2e:null 2f:["$","title",null,{"children":"Hypnograph Eased | Luke Murray | Observable"}] 34:T55f,viewof controls = inputsGroup([ [ slider({ min: 500, max: 1000, step: 1, value: 500, title: "Height", description: "the height of the chart" }), slider({ min: 2, max: 100, step: 2, value: 40, title: "Number Circles", description: "the number of black circles to draw" }) ], [ slider({ min: -300, max: 300, step: 1, value: 0, title: "hole radius", description: "the radius of the center" }), slider({ min: 1, max: 1000, step: 1, value: 125, title: "donut radius", description: "the radius of the circles surrounding the center" }) ], [ slider({ min: 1, max: 8, step: 1, value: 2, title: "Pattern Repetitions", description: "Number of fades" }), slider({ min: 0, max: 1, step: .01, value: .8, title: "Fade Intensity", description: "Intensity of fade" }) ], [ slider({ min: 0, max: 1, step: .01, value: .9, title: "Rotation", description: "Rotation of the pattern from 0 to 1" }), checkbox({ description: "direction of the circles", options: [{ value: "invert", label: "Invert" }], value: false, title: "Direction" }) ] ])35:T78f,function drawCircles() { // store the generated circles here let result = ``; // we draw each circle at "angle", we draw all the circles by incrementing the angle let angle = rotation * Math.PI; // the d_angle is the distance between each circle that we draw let d_angle = ((Math.PI * 2) / numCircles) * (!!invert ? 1 : -1); // iterate over all the circles we want to draw for (let i = 0; i < numCircles; i++) { // draw a circle at the current angle const circle_props = generateCircleProps(angle); // this is the meat of the visualization // we mask the circle based on cosFunc // when cosFunc returns 0 the mask_angle is 0 * d_angle so the current circle is hidden // when cosFunc returns 1 the mask_angle is 1 * d_angle so the current circle fills the entire available space // cosFunc smoothly interpolates between 0 and 1 so the amount of black circle we draw varies 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32:{"id":"0b393349906c2f19","slug":"hypnograph-eased","title":"Hypnograph Eased","thumbnail":"a0c6c0a5ef500338c86dedf025a4b6be678b7649dff2ca2556285060dd421a9c","access_level":"public","create_time":"$D2021-01-25T00:35:32.672Z","update_time":"$D2021-01-30T17:08:16.101Z","view_time":null,"first_public_time":"$D2021-01-30T17:08:25.868Z","has_unpublished_edits":null,"fork":true,"stars":7,"starred":false,"owner":{"type":"team","id":"2fffccdb72a41da3","login":"lukesmurray","name":"Luke Murray","avatar_url":"https://avatars-next.observableusercontent.com/71a8e2c24320cb7d8a88bd0d0ab7cb1cd2b09805978c252cbcc5facac7a97c8b","tier":"starter_2024"},"version":450,"publish_version":450,"role":null,"authored":false,"authors":[{"type":"individual","id":"1d55995fe48aa1ea","login":"lukesmurray","name":"Luke 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Eased`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":335,"value":"$34","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":10,"value":"svg``","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":446,"value":"md`## Gallery\n\n\n${await FileAttachment(\"triple-donut-slight-fade.svg\").image()}\n${await FileAttachment(\"donut-semi-circles.svg\").image()}\n${await FileAttachment(\"ring-double-fade.svg\").image()}\n${await FileAttachment(\"donut-no-pattern.svg\").image()}\n${await FileAttachment(\"double-spiral.svg\").image()}\n${await FileAttachment(\"double-donut.svg\").image()}\n${await FileAttachment(\"donut-semicircles-three-fade.svg\").image()}\n${await FileAttachment(\"ring-no-fade.svg\").image()}\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":47,"value":"$35","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":259,"value":"//https://www.desmos.com/calculator/ybayf8fhhi\nfunction cosFunc(x, k, s) {\n // cos(x) alternates between 0 and 1\n // cos(pi * x) has a frequency of 1\n // cos(pi *x) + 1 has a frequency of 1 and alternate between 0 and 2\n // (cos(pi * x) + 1) / 2 has a frequency of 1 and alternates between 0 and 1\n // (cos(pi * (x+1)) + 1) / 2 has a frequency of 1 and alternates between 0 and 1 but starts at 0\n // (cos(pi * (x * k +1)) + 1) / 2 has prev properties but alternates k times\n // s is used to scale the function between 1 - s and 0 + s\n return ((Math.cos(Math.PI * (x * k + 1)) + 1) / 2 - .5) * s + .5;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":57,"value":"// calculate the props for a svg circle based on the hole radius, donut radius, and width\nfunction generateCircleProps(angle) {\n const cx = Math.sin(angle) * (holeSize + donutSize) + width / 2;\n const cy = Math.cos(angle) * (holeSize + donutSize) + height / 2;\n const r = donutSize;\n return { cx, cy, r };\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":20,"value":"height = controls[0][0]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":35,"value":"numCircles = controls[0][1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":43,"value":"holeSize = controls[1][0]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":51,"value":"donutSize = controls[1][1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":98,"value":"k = controls[2][0]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":250,"value":"s = controls[2][1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":292,"value":"rotation = controls[3][0]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":321,"value":"invert = controls[3][1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":11,"value":"md`## Appendix`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":15,"value":"import { slider, checkbox } from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":333,"value":"import { inputsGroup } from \"@bumbeishvili/input-groups\"","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":79,"value":"uuid = require('uuid@8.3.2/dist/umd/uuid.min.js')","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W36","stdlib":"1","titling":"auto"}} 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