π (area / r²)

exponent p = 2.0000convex

0
4
reference circle · π ≈ 3.1416
reference diamond · π = 2
current shape

This represents π the classic way — π = Area ÷ r² — generalized to the family |x|^p + |y|^p = r^p. Type or drag to a π value and it solves for whichever p makes that ratio true, then draws the shape. 0 and 4 aren't shapes you can land on, just the horizon this family walks toward (p → 0 or p → ∞) and never reaches. Reset snaps back to the circle you grew up with.