# Building a 1.4m high polar zonohedron d

Building a 1.4m high polar zonohedron dome ('zome') on Saturday. First strip cut out of cardboard.

Building a 1.4m high polar zonohedron dome ('zome') on Saturday. First strip cut out of cardboard.

Shared with: Public, Tim Hutton, Gerard Westendorp

*This post was originally on Google+*

I think you got a discretisation of the 'Sine Gordon' equation for the top angle (alfa) of the rhombi, if you demand that the angluar deficit per area is constant, ie constant Gausian curvature.

(area is proportional to the sin(alfa)). Thats cool, because the sine gordon equaiton has solitons, which then correspond to these shapes.

But what's the connection between the solitons and the 3D shapes?