The main square uses T₀. The detached square uses T₋₃, the fourth triangle.
The connected spiral continues below one screen pixel.
Drag to change the construction step
Front and top match. The lattice is the same from the right; the detached cube has a different horizontal offset in this construction.
Select a dimension to locate it. All values follow the v3 construction.
The lower diagram uses integer side lengths. The main construction uses the plastic limit, with side lengths Dρⁿ. These are distinct: a finite integer ratio never equals ρ.
Both squares are erected upward on horizontal edges of one connected spiral. The first two smaller square candidates intersect the main square. T₋₃ is the first whose square is fully above it. No triangle moves to a different location.
The frame and detached square have equal black area: D² − 4C² = S². Together with 2C + 3W = D, this fixes the aperture C and uniform bar width W. Equal area is a chosen design rule, not a claim about perceived weight.
Connected construction ↗Dimensions & coordinates ↗Construction package · v3 ↗Robert Dickau · Padovan spirals ↗de Spinadel & Redondo Buitrago · 2009 ↗
