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The Mathematics and Design History of Squircles: From iOS 7 to Geometric Principles

By

kjeetgill

4mo ago· 29 min readenInsight

Summary

The article explores the history and mathematics of the 'squircle' shape, tracing its origins from Apple's iOS 7 redesign to its deeper mathematical foundations. The author shares a personal journey of discovering squircles, their mathematical properties, and how they represent a design evolution from simple rounded squares to more organic, mathematically-defined shapes. The piece connects design aesthetics with mathematical principles, examining how subtle shape differences can significantly impact user experience and visual perception.

Key quotes

· 4 pulled
They'd gone from squares with rounded corners, to squircles (a portmanteau of 'square' and 'circle').
A squircle begins as the old rounded square, but with some sandpaper applied to the part where the rounding begins on each side of each corner so the transition from straight to curved is less abrupt.
Articulating this using mathematics...
My story begins long before I started at Figma, on June 10th, 2013, the day Apple released iOS 7.
Snippet from the RSS feed
In a famous 1972 interview, Charles Eames answered a short sequence of fundamental questions about the nature of design.

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