Apple Intelligence

2026-01-07. Filed in public, twoville.

Imagine you are a graphic designer and your boss tells you, “We need a logo for our new AI product.” Creativity feeds on constraint, but there's little constraint to feed on when the topic is as abstract and versatile as AI. Therefore we are not surprised to find many logos for AI products are merely interesting geometry.

Apple Intelligence's logo is a 7-point self-intersecting star made of Bézier curves. I tried my hand at implementing it in Twoville:

let n = 7
let wedgeDegrees = 720.0 / n
let halfWedgeDegrees = 0.5 * wedgeDegrees
let outRadius = 1.0
let inRadius = outRadius - 0.38
let bluntness = 0.25

to graze(degrees: float): [float, float]
  // Return a scaled tangent vector
  [-sin(degrees), cos(degrees)] * bluntness

// Trace out a woven star with n spokes. Start
// at the top outer point. Move counterclockwise
// to an inner point. Keep oscillating between
// inner and outer until every spoke has been
// visited twice: once for its inner point, and
// once for its outer point.

figure
  stroke.weight = 0.15
  
  // Outer top node
  go.position = [outRadius, 90].xy()
  
  for i from 1 through n
    let outDegrees = i * wedgeDegrees + 90
    let inDegrees = outDegrees - halfWedgeDegrees
    
    // Inner node
    cubic
      position = [inRadius, inDegrees].xy()
      rcontrol1 = graze(inDegrees - halfWedgeDegrees)
      rcontrol2 = -graze(inDegrees)

// Outer node
    cubic
      position = [outRadius, outDegrees].xy()
      rcontrol1 = graze(outDegrees - halfWedgeDegrees)
      rcontrol2 = -graze(outDegrees)

view
  autofit = true
  margin = 0.1

Some months ago I added rcubic nodes, which express the position and control points as relative offsets from the previous position. For this shape, I wanted the position of each node to be absolute but the control points to be relative tangent vectors. So, I switched away from relative nodes to relative properties. Relative properties start with an r. Property position is absolute but rcontrol1 is relative.