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Astroid

Import

import { astroid } from "@sarmal/core/curves/astroid";

A hypocycloid with 4 sharp cusps, forming a star-like shape within a square boundary.

Equation

x=cos⁡3(t)y=sin⁡3(t)\begin{aligned}x = \cos^3(t) &\\y = \sin^3(t) &\end{aligned}

Parameters

Family Hypocycloid
Period 2π
Default Speed 1.1
Skeleton static

Key Features

  • 4 sharp cusps at cardinal points
  • Star-like shape inscribed in a square
  • Classic hypocycloid with n=4

Usage

Standard

import { createSarmal } from "@sarmal/core";
import { astroid } from "@sarmal/core/curves/astroid";

const canvas = document.getElementById("spinner") as HTMLCanvasElement;
const sarmal = createSarmal(canvas, astroid);

React

import { Sarmal } from "@sarmal/react";
import { astroid } from "@sarmal/core/curves/astroid";

function App() {
  return <Sarmal curve={astroid} />;
}