The Two Lammert Time-Based Fractal Laws of Self-Assembly:

1. A 4-Phase Series: x/2-2.5x/2-2.5x/1.5-1.6x , where the 3rd fractal ends on a peak or lower high valuation and the other 3 Fractals end on nadir valuations.
2. A 3-Phase Series: x/2-2.5x/1.5-2.5x, where all 3 fractals end on nadir valuations. This can be written as y/2-2.5y/2-2.5y for crash devaluations where ‘y’ denotes declining valuations.

The Two Lammert Time-Based Fractal Laws of Self-Assembly:

1. A 4-Phase Series: x/2-2.5x/2-2.5x/1.5-1.6x , where the 3rd fractal ends on a peak or lower high valuation and the other 3 Fractals end on nadir valuations.
2. A 3-Phase Series: x/2-2.5x/1.5-2.5x, where all 3 fractals end on nadir valuations. This can be written as y/2-2.5y/2-2.5y for crash devaluations where ‘y’ denotes declining valuations.

Added 608 PM EST 6 May 2026 … ACWI: Mind the hourly and daily (exhaustion) Gap!

ACWI 30 March 2026 to 6 May 2026 32/76/78 hours :: x/2-2.5x/2-2.5x terminal peak valuation growth.

7 April 2025 to 6 May 2026 ACWI 3-phase Lammert fractal series blow-off peak valuation growth and Initial 3-phase fractal series crash decay.

… and oil futures from Dec 2025 15/35/28/22 days :: x/2.5x/2x’/1.5x ….

vice the below oil fractal model …

Gold:

Crypto:

(Immediately below added 7 May) 2026 Bitcoin in USD weekly Fractals

Oil:

(Added 7 May 2026) Or very ominously, completion of a 16 Dec 2025 to 7 May 2026 15/35/28/23 day :: x/2-2.5x/2x’/1.6x’ 1st Fractal with a curvilinear underlying tangent line signalling explosive 2nd Fractal valuation growth. The war on the 28 February 2026 was the start of accelerating 28 day 3rd fractal subseries growth.

Added 1234 AM EST 11 May 2026: