IKOSI geometric intelligence
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Selected Work

02

About IKOSI

Studio Philosophy

Beauty through
mathematical precision

IKOSI explores the space where pure mathematics becomes physical reality. We work from a single geometric object — the icosidodecahedron — and follow its logic into architecture, identity, and spatial experience.

The name derives from the Greek εἴκοσι (eíkosi), meaning twenty — the number of triangular faces on an icosahedron, the progenitor of our form. Every project is an investigation of what that form can become.

30 Vertices per form
φ Golden ratio embedded
60 Structural edges
32 Faces per structure
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Services

Computational Geometry
We derive spatial systems from first principles — starting with mathematical objects and following their logic into 3D forms, structures and patterns. Every curve, surface and solid is exact.
Parametric Architecture
Structural systems where form, material and fabrication are governed by the same underlying parameters. Scale invariant: the same logic that produces a chair produces a pavilion.
Brand Systems
Identity built from geometric first principles — marks that are structurally coherent, scalable across any medium, and carry an embedded mathematical logic that distinguishes them absolutely.
The Form

Icosidodecahedron

One of thirteen Archimedean solids — the only polyhedron whose edges are in the golden ratio φ to the circumradius. All 60 edges are identical. All 30 vertices are equivalent. The structure is both maximally symmetrical and maximally efficient.

Symmetry group Ih
Vertices 30
Edges 60
Faces 32 (20△ + 12⬠)
Edge / circumradius 1 / φ
Pavilion edge 6.00 m
Pavilion circumradius 9.71 m
Total height 19.42 m
04 · Get in touch

Start a conversation

We work with architects, studios, and organisations who believe that rigour and beauty are not in opposition — that the most precise thinking produces the most enduring form.

studio@ikosi.org
Studio IKOSI Geometric Intelligence
Discipline Computational Design · Architecture · Identity
Founded on The icosidodecahedron
Tagline Geometric Intelligence