101 3D: Constructive solids

9.3

Racket

101 3D: Constructive solids🔗ℹ

Solid constructors create deterministic indexed meshes. The standard constructors and regular-polyhedron constructors return ordinary mesh3d values. Their tessellation parameters are part of the authored immutable value, not a renderer decision.

procedure
(cube3d side #:id id) → mesh3d?
side : finite-real?
id : symbol?

Creates a cube.

procedure
(box3d width height depth #:id id) → mesh3d?
  width : finite-real?
  height : finite-real?
  depth : finite-real?
  id : symbol?

Creates an axis-aligned box.

procedure
(prism3d sides #:id id) → mesh3d?
sides : exact-positive-integer?
id : symbol?

Creates a regular prism.

procedure
(sphere3d radius #:id id) → mesh3d?
radius : finite-real?
id : symbol?

Creates a latitude-longitude sphere.

procedure
(cylinder3d radius height #:id id) → mesh3d?
  radius : finite-real?
  height : finite-real?
  id : symbol?

Creates a cylinder.

procedure
(cone3d radius height #:id id) → mesh3d?
  radius : finite-real?
  height : finite-real?
  id : symbol?

Creates a cone.

procedure
(torus3d major-radius minor-radius #:id id) → mesh3d?
  major-radius : finite-real?
  minor-radius : finite-real?
  id : symbol?

Creates a torus.

procedure
(extrude3d contour
#:id id
#:vector direction) → mesh3d?
  contour : (listof vec2?)
  id : symbol?
  direction : vec3?

Extrudes one simple closed xy-plane contour through a noncoplanar vector. Caps use deterministic ear clipping.

procedure
(revolve3d profile #:id id [#:axis axis]) → mesh3d?
  profile : (listof vec2?)
  id : symbol?
  axis : (or/c 'x 'y 'z) = 'z

Revolves a nonnegative-radius profile around an axis.

procedure
(sweep3d profile curve #:id id) → mesh3d?
  profile : (listof vec2?)
  curve : curve3d?
  id : symbol?

Sweeps a simple profile along a sampled curve using a direct parallel-transport frame.

procedure
(mesh3d-smooth-normals mesh) → mesh3d?
mesh : mesh3d?

Computes stable area-weighted shared-vertex normals while retaining every semantic part ID.

procedure
(mesh3d-flat-normals mesh) → mesh3d?
mesh : mesh3d?

Duplicates face vertices so every triangle receives one normal. Triangle face IDs remain one-to-one; vertex and edge ID vectors are deliberately absent because their parts have been split into new representation corners.

procedure
(mesh3d-boundary-edges mesh) → vector?
mesh : mesh3d?

Reports its deterministically ordered manifold boundary edges.

An example is "examples/3d/solid-of-revolution.rkt".

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