1929 and 2026 Fractal Self-Similarities: a SPX 29 July 2026 2026 to 9 December 2026 17/42/37 day :: x/2-2.5xy/2-2.5xy 3-Phase Fractal Series: a SPX 6 October 2026 all-time peak valuation and a 9 December 2026 Initial Crash Nadir

6 October 2026 concluded the SPX's peak valuation growth in a 1982 to 2026 13/33-34 year :: x/2.5x 1st and 2nd fractal series, an interpolated series within a US hegemonic 1807 36/90/90/54-57 year :: x/2.5x/2.5x/1.5-1.6x 4-phase fractal series. The SPX 1929 peak valuation on 3 Sept 1929 was near the end of a 1807 36/90 year :: x/2.5x 1st and 2nd fractal series which ended at year 90 (2.5x)in 1932.

The above depicts the Aug to Nov 1929 12/29/27 day :: xy/2-2.5 xy/2-2.5xy 3-phase fractal series that contains the 1807 :: 36/87 x/2-2.5x 3 Sept 1929 peak valuation and initial 13 Nov 1929 crash nadir valuation decay.

From the 3 Sept 1929 peak, a 7/18/18/10 day :: y/2.5y/2.5y/1.5y 4-phase fractal decay series ends at the initial crash nadir on 13 November 1929.

The above depicts the current fractal model of a 1929 self similar SPX 29 July 2026: 17/42/37 day :: xy/2-2.5xy/2-2.5xy with a 1982 13/33 year :: x/2.5x peak valuation on 6 Oct 2026, a secondary peak on 12 Oct 2026 and an initial crash nadir on 9 December 2026. The 29 July to 20 Aug 2026 17 day 1st fractal is composed of a 3/8/8 day 3 phase fractal series. The 20 Aug 42 day 2nd fractal ending Monday 19 Oct 2026 is composed of two 4-phase fractal subseries: a 20 August 3/7/7/5 day series ending 16 Sept 2026 and a 16 Sept 4/9/8/6 day series ending Monday 19 Oct 2026. From the SPX secondary peak on 12 Oct, day 8 of the 3rd 8 day fractal of a 1 Oct 4/9/8 day 3-phase growth fractal series, a 6 day 4th fractal ends on the 16 Oct 2026 42 day 2nd fractal nadir. A 4-phase y/2.5y/2.5y/1.5y : 6/15/15/9 day fractal series ends on the 9 December 2026 nadir.

The above daily 29 July 2026 to 9 December 2026 fractal series completes a 7 April 2025 17/36/37 week :: xy/2-2.5xy/2-2.5xy fractal series. The 37 week 3rd fractal is composed of a 30 March 2026 6/13/12/9 week :: x/2-2.5x/2x/1.5x 4 phase fractal series corresponding to a 30 March 2026 25/60/57/37 day :; x/2-2.5x/2-2.5x/1.5x 4-phase fractal series. The 3-phase xy/2-2.5xy/2-2.5xy 29 July 2026 to 9 Dec 2026 daily peak valuation and initial crash to nadir value fractal series is fractally self-similar to the 7 April 2025 to 9 Dec 2026 weekly 3-phase xy/2-2.5xy/2-2.5xy peak valuation and initial crash to nadir valuation fractal series.