Geometry in architecture

   [ September 2011 ]

Barrel vault (a half of rotational cylinder). Barrel vault (a half of rotational cylinder).
Cross vault (intersection of two congruent rotational cylinders). Cross vault (intersection of two congruent rotational cylinders).
Gothic cross vault (intersection of four congruent rotational cylinders). Gothic cross vault (intersection of four congruent rotational cylinders).
Another type of vault. Another type of vault.
Cross vault (intersection of four congruent oblique circular cylinders). Cross vault (intersection of four congruent oblique circular cylinders).
Dome (a half of sphere) with pendentives (spherical triangles). Dome (a half of sphere) with pendentives (spherical triangles).
Niche (a half of cylinder with a quarter of sphere as a vault). Niche (a half of cylinder with a quarter of sphere as a vault).
Rotational surfaces as a roof. Rotational surfaces as a roof.
Rotational surfaces as a roof. Rotational surfaces as a roof.
Rotational surfaces as a roof. Rotational surfaces as a roof.
Cyclical helical surface in use by architectural design. Cyclical helical surface in use by architectural design.
Spiral staircase (the use of helicoid). Spiral staircase (the use of helicoid).
Spiral staircase (the use of helicoid). Spiral staircase (the use of helicoid).
Spiral staircase (the use of helicoid). Spiral staircase (the use of helicoid).
Spiral staircase (the use of helicoid). Spiral staircase (the use of helicoid).
Hyperbolic paraboloid in use by architectural design. Hyperbolic paraboloid in use by architectural design.
Hyperbolic paraboloid in use by architectural design. Hyperbolic paraboloid in use by architectural design.
Hyperbolic paraboloid in use by architectural design. Hyperbolic paraboloid in use by architectural design.
Conoids in use by architectural design. Conoids in use by architectural design.
Frezier's cylindroid as the vault above the stairs. Frezier's cylindroid as the vault above the stairs.
Ruled surface (oblique passage) in use by architectural design. Ruled surface (oblique passage) in use by architectural design.
Marseille's arc. Marseille's arc.
Montpellier's arc. Montpellier's arc.
Translational surface as a vault. Translational surface as a vault.
Translational surface as a vault. Translational surface as a vault.
Translational surface as a vault. Translational surface as a vault.
Chandelier. Chandelier.
Chandelier. Chandelier.
Lantern. Lantern.
Lantern. Lantern.
Special type of roof. Special type of roof.
Model of a roof structure. Model of a roof structure.
Model of a roof structure. Model of a roof structure.
Staircase with various geometric shapes. Staircase with various geometric shapes.
Staircase with various geometric shapes. Staircase with various geometric shapes.
Staircase with various geometric shapes. Staircase with various geometric shapes.
Barrel vault with lunettes. Barrel vault with lunettes.
Barrel vault with lunettes. Barrel vault with lunettes.
Barrel vault with lunettes. Barrel vault with lunettes.
Barrel vault with lunettes. Barrel vault with lunettes.
Barrel vault with lunettes. Barrel vault with lunettes.
Rampant round arc. Rampant round arc.
Rampant round arc. Rampant round arc.
Entry portal to the building. Entry portal to the building.
Decorative pilasters on the facade. Decorative pilasters on the facade.