Chapel 4
The structure of this chapel is very similar to that of Chapel 3. Where the latter has ten sections in its dome, and ten columns in its base building, this one has twelve of each. The shortage of pieces at the moment of construction explains the limited height of the base building, which, by design, would have been twice or thrice as tall as the current one.
GEOMAG constructions: Chapel 4, side view
Chapel 4, side view
3443 pieces: 857 balls, 2310 rods, 60 pentagons, 216 squares (18.80 kg)
GEOMAG constructions: Chapel 4, top oblique view
Chapel 4, top oblique view
GEOMAG constructions: Chapel 4, bottom oblique view
Chapel 4, bottom oblique view
The twelve columns, with the spaces in between, form a 24-agon, which is made regular and rigid with the structure shown in the following picture:
GEOMAG constructions: Chapel 4, plan view
Chapel 4, plan view
As in chapel 3, two stacked antiprisms, now with 24 sides, are built on top of the columns. Also, there is a reinforcement structure, although it is simpler than that of Chapel 3. In the following picture, the balls A are the upper vertices of the upper antiprism, and the balls B form twelve tetrahedra. Each tetrahedron joins the adjacent ones with two triangles ABC which share the vertex C; this C balls are higher than both the B's and the A's.
GEOMAG constructions: Chapel 4, sketch of base reinforcement
Chapel 4, sketch of base reinforcement
The sections of the dome are segments of circular tetrahedric curves made of 34 tetrahedra. These segments join one another forming a regular dodecagon, as shown in the following picture. The spire of the dome is built on this dodecagon. Unlike Chapel 3, no helical segments are used here:
GEOMAG constructions: Chapel 4, building the dome
Chapel 4, building the dome
  • The dome of Chapel 5 has also twelve sections.