Polynomial Roots and Calabi-Yau Geometries

Figure 13

In reference to the toric diagrams in Figure 11, for each Calabi-Yau threefold geometry, we find the corresponding Newton polynomial as a real algebraic curve. We sample over 50000 random integer coefficients in the range [−10,10], and isolate the real critical points in ℝ², which are then plotted collectively for (b) conifold, (c) SPP, (d) 𝔽₀, and (e, f, g, h) 𝑑𝑃_0,1,2,3.

(a)

(b)

(c)

(d)

(e)

(f)

(g)