navbar-top.gif
btn_spacer.gifHomeTopicsLatestRandomAboutFAQsParticipateAuthoring Areabtn_spacer.gif

Shaping of Polar Zonohedron

Each rhomb of a polar zonohedron is divided into two triangles. Then the zonohedron is shaped by changing the vertical coordinates of the vertices of the triangles according to selected portions of a sine wave. This means that the poles of the polar zonohedron are moved symmetrically or asymmetrically to produce various shapes, such as a raindrop, heart, bullet, barrel, ellipsoid, or submarine. This allows an efficient way to explore shapes in industrial design, architecture, or space station design, as well as to conduct comparative analysis of naturally occurring objects. All levels have equal height in any particular setting. This property makes the shaped zonohedron especially suitable for architecture.
Powered by Wolfram Mathematica
Contact The Wolfram Demonstrations Project Team    Site Index    Wolfram Research
©  2008 The Wolfram Demonstrations Project & Contributors    Terms of Use    Privacy Policy    RSS    Atom