Structure with Rings of Proportionally Identical Arched Vaults
Aesthetic & Mathematical Inspiration
Escher and Coxeter
The Two Types of Arch Springs in 2002 Arches
Major & Minor
The major column springing has pairs of primary (1), secondary (2), tertiary (3), and quaternary (4) arch sizes in the order 12344321.
Each vault is a regular 45° 90° 45° right triangle. The result is arches whose sizes are related by the square root of 2. This plan view has one additional outer ‘ring’ of even smaller arched vaults than the arched model. This demonstrates that the ‘rings’ can be extended at will until their relative size is impractically small.
The minor column springing has pairs of secondary (2), tertiary (3), and quaternary (4) arch sizes in the order 22344322.
Short Animation of 2002 Arches
Angel’s Eye View