Some Tessellations of the Sphere by Triangles

[Christopher Jones]

My web page at https://chrisjones.id.au/Spherical%20Tessellations/

describes what I believe to be a new method of projecting a subdivided polyhedron on to a sphere. Under this projection, all vertices lie on parallels of latitude which are small circles (except for the equator) and hence not geodesic. 

This makes it very easy to slice the sphere at any latitude containing vertices, to get a dome which can sit on the ground on a flat circular polygon.

In such a structure, presumably all of the struts on these small circles will be in tension, and all the others in compression.

Christopher Jones

[luke Orlowski]

Looks like Gnomic projection. I used this method to create egg shaped domes.

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[Christopher Jones]

I don’t think so. I am projecting a polyhedron on to a sphere. A gnomic projection projects a sphere on to a plane. 

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[Bryan L]

Hello Christopher,

have you researched the Krusche method? It has one or more parallel lesser circles away from the equator.

There has been plenty written about it over the years in this forum with plenty of examples.

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