Fanography

projective space $\mathbb{P}^3$

$\mathbb{P}(\mathcal{O}_{\mathbb{P}^2}\oplus\mathcal{O}_{\mathbb{P}^2}(2))$

$\mathrm{Bl}_p\mathbb{P}^3$

alternative

$\mathbb{P}(\mathcal{O}_{\mathbb{P}^2}\oplus\mathcal{O}_{\mathbb{P}^2}(1))$

blowup of 1-17 in a line

$\mathbb{P}^1\times\mathbb{P}^2$

blowup of the cone over a smooth quadric in $\mathbb{P}^3$ in the vertex

alternative

$\mathbb{P}(\mathcal{O}\oplus\mathcal{O}(1,1))$ over $\mathbb{P}^1\times\mathbb{P}^1$

blowup of 2-35 in a line on the exceptional divisor

blowup of 2-35 in the proper transform of a line containing the center of the blowup

alternative

$\mathbb{P}_{\mathbb{F}_1}(\mathcal{O}\oplus\mathcal{O}(\ell))$ where $\ell^2=1$

$\mathbb{P}^1\times\mathbb{P}^1\times\mathbb{P}^1$

$\mathbb{P}^1\times\mathrm{Bl}_p\mathbb{P}^2$

blowup of 1-17 in the disjoint union of a point and a line

alternative

blowup of line on a plane which is section of 2-34 mapping to $\mathbb{P}^2$

blowup of 1-17 in the disjoint union of two lines

alternative

$\mathbb{P}(\mathcal{O}(1,0)\oplus\mathcal{O}(0,1))$ over $\mathbb{P}^1\times\mathbb{P}^1$

blowup of 2-33 in the disjoint union of two exceptional lines of the blowup

blowup of 3-28 in $\{x\}\times E$, $x\in\mathbb{P}^1$ and $E$ the $(-1)$-curve

$\mathbb{P}^1\times\mathrm{Bl}_2\mathbb{P}^2$

blowup of 3-25 in an exceptional curve of the blowup

$\mathbb{P}^1\times\mathrm{Bl}_3\mathbb{P}^2$

blowup of 3-25 in the disjoint union of two exceptional lines on the same irreducible component