A whole pseudogeodesic sphere to scale 4 would require 5760 rods and 1922 balls, and building it with Geomag is surely not possible without some special scaffolding, perhaps together with some support system similar to that used for the double-scale sphere. What we build here is not a whole quadruple-scale sphere, but a sort of a big circus tent corresponding to a spherical cup.

We will build the silver part in the previous left-hand picture, which appears by itself in the right-hand one. It takes 70 of the total 240 triangles which make up the sphere, a little more than 29%. Three views of the quadruple-scale construction follow:

The construction rests on five special supports as the one shown in the following picture. The correct angle should be the vertex angle of a regular pentagon, or 108 degrees. The angle in the support is a little more than 109 degrees, which seems to be close enough.

It will be necessary to use some provisional supports while construction is in progress:

Disregarding the previous advice will cause disasters like this one: