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Superquadrics

價格:免費

更新日期:2013-01-25

檔案大小:189k

目前版本:1.0.1

版本需求:Android 4.0 以上版本

官方網站:https://plus.google.com/118061988000192085444/

Email:stoutspoon@gmail.com

Superquadrics(圖1)-速報App

This app displays a set of geometric shapes called 'superquadrics'. Superquadrics are shapes that are defined by mathematical formulas.

Superquadrics can resemble a variety of simple geometric shapes. This app can generate circles, cones, cubes, cylinders, lozenges, octahedrons, rectangular prisms, spheres, and squares. These shapes appear when specific values for m and n are chosen in the app.

The shape can be morphed by swiping the borders of the app window or by entering values using the menus. The shape can be rotated and stretched by touch.

Superquadrics(圖2)-速報App

Concretely, this app graphs the following set of parametric equations:

pows(x, n) = sign(x) * abs(x) ^ n

Fx(u,v) = pows(cos(v), n) * pows(cos(u),m)

Superquadrics(圖3)-速報App

Fy(u,v) = pows(cos(v), n) * pows(sin(u), m)

Fz(u,v) = pows(sin(v), n)

Where u and v are parametric variables, and m and n are constants that you can adjust.

Superquadrics(圖4)-速報App

You can read a bit more about superquadrics on wikipedia:

http://en.wikipedia.org/wiki/Superquadrics

Superquadrics(圖5)-速報App