Squircle - Wikipedia
A squircle is a shape intermediate between a square and a circle. There are at least two definitions of "squircle" in use, the most common of which is based on the superellipse . The word "squircle" is a portmanteau of the words "square" and "circle".
方圓形 - 维基百科，自由的百科全书
方圓形在英文中稱為Squircle是由「square」（正方形） and 「circle」（圓形）的組合字，中文同樣也是方形和圓形的組合詞。 在直角坐標系中，若一方圓形的 幾何中心 位於 (a, b)且半直徑（semi-diameters）為r時，則該圖形的方程式表示為：
Apple design, squircles, and curvature - John D. Cook
2018年2月13日 · A “squircle” is a sort of compromise between a square and circle, but one that differs from a square with rounded corners. It’s a shape you’ll see, for example, in some of Apple’s designs. A straight line has zero curvature, and a circle with radius r has curvature 1/r.
超橢圓 - 维基百科，自由的百科全书
超橢圓 （英語： superellipse）也稱為 拉梅曲線 （Lamé curve），是在 笛卡儿坐标系 下滿足以下方程式的點的集合： 其中 n 、 a 及 b 為正數。 上述方程式的解會是一個在− a ≤ x ≤ + a 及− b ≤ y ≤ + b 長方形 內的封閉曲線，參數 a 及 b 稱為曲線的 半直徑 （semi-diameters）。 n 在0和1之間時，超橢圓的圖形類似一個曲線的四角星，四邊的曲線往內凹。 n 為1時，超橢圓的圖形為一 菱形，四個頂點為（± a, 0）及（0, ± b）。 n 在1和2之間時，超橢圓的圖形類似 菱形，四個頂點 …
Circling the Square: Designing with "Squircles" Instead of …
2018年2月12日 · A squircle is a mathematical intermediate between a square and a circle (and a portmanteau of the words ‘square’ and ‘circle’). One “secret” of Apple’s physical products, Stanton explains , “is that they avoid tangency (where a radius meets a line at a single point), and craft their surfaces with what’s called curvature ...
Squircles vs. round squares: everything designers need to know
2023年1月27日 · In short — squircles are a combination of a circle and square — as the name suggests — while round squares are simply rounded-off versions of regular squares. If you try to imagine these two different shapes in your mind, they probably look nearly identical.
History of the “Squircle” - John D. Cook
2019年4月3日 · While Piet Hein popularized the superellipse shape, the discovery of the shape goes back to Gabriel Lamé in 1818. You can find more on the superellipse and squircle by following these links, but essentially the idea is to take the equation for an ellipse or circle and replace the exponent 2 with a larger exponent.
Squircle -- from Wolfram MathWorld
2011年10月21日 · The first defines the squircle as the quartic plane curve which is special case of the superellipse with a=b and r=4, namely x^4+y^4=a^4, (1) illustrated above. This curve as arc length s = -(3^(1/4))/(16sqrt(2)pi^(7/2)Gamma(5/4))G_(5,5)^(5,5)(1|1/3,2/3,5/6,1,4/3; 1/(12),5/(12),7/(12),3/4,(13)/(12))a (2) = 7.01769794356404...
Higher dimensional squircles | cuere, sphube - John D. Cook
2019年4月4日 · In more conventional mathematical terminology, higher dimensional squircles are balls under Lp norms. The unit ball in n dimensions under the Lp norm has volume. We’re asking to solve for p so the volume of a p -norm ball is midway between that of 2-norm ball and an ∞-norm ball. We can compute this with the following Mathematica code.
Squircle – Definition, Properties, Application - Math Monks
2023年8月3日 · What is a squircle and what is its basic shape – also know its equation along with its uses and applications