Exploring Intricate 3D Mathematical Patterns

Exploring Intricate 3D Mathematical Patterns

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

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  • Prompt: "Let \( \mathcal{O} \) be a smooth Calabi–Yau orbifold and \( \mathcal{C} \) the resolved small conifold (smooth Calabi–Yau 3-fold). Fix compatible Ricci-flat metrics on both. Apply the scalar multiple \( 24.24788742 \, (\nabla \times \mathbf{F}) \), where \( \mathbf{F} \in \Gamma(\mathbb{R}^3) \) is a compactly supported vector field on a local Euclidean chart, to the tensor product \( d_\nabla \, \omega \otimes \mathcal{L}_\xi \, \alpha \), where \( d_\nabla : \Gamma(\Lambda^\bullet T^*\mathcal{O} \otimes T\mathcal{O}) \to \Gamma(\Lambda^{\bullet+1} T^*\mathcal{O} \otimes T\mathcal{O}) \) is the exterior covariant derivative induced by the Levi-Civita connection on the tangent orbibundle of \( \mathcal{O} \), - \( \omega \) is a smooth section of \( \Lambda^1 T^*\mathcal{O} \otimes T\mathcal{O} \), \( \mathcal{L}_\xi \) denotes the Lie derivative along a Killing vector field \( \xi \) on the resolved conifold \( \mathcal{C} \), \( \alpha \in \Omega^2(\mathcal{C}) \) is a Kähler (1,1)-form, evaluated at the unique stratum-preserving orbifold-conifold correspondence point in the moduli space where the stringy Kähler moduli align at the conifold locus under mirror symmetry after analytic continuation through the 24.24788742-th branch of the Picard–Fuchs equations.(We further demand that the entire expression be Wick-rotated, smeared over a Gaussian regulator of width \( e^{-24.24788742} \), and uplifted to eleven dimensions just for the vibes.)"
  • Upscale & Enhance: 1
  • Aspect Ratio: square