algebraic plane curves

Algebraic plane curves: affine + slice

Affine chart (left) + Intersection with S_c (right)

View

Preset curve

Polynomial p(x, y, z)

Slice c = |z₀|² / |z|² 0.330

Show slice highlight in affine view

Affine view (left)

Affine chart

Drop coordinate (color)

Color scheme

Grid resolution 250

Grid range |Re x|, |Im x| ≤ 3.0

Max radius (R³ clip) 10

Mesh opacity 0.55

Slice view (right)

Tube radius 0.020

Continuation step 0.020

Max components 8

Highlight color

Left: standard affine algebraic mesh of V in the chosen chart, clipped by Max radius. Right: V ∩ S_c traced by predictor-corrector continuation, rendered as TubeGeometry. The slice's projection into the affine pane is overlaid as bright LineSegments when the toggle is on. Drag canvases to orbit; scroll to zoom; shift-drag to pan.