Creates a new OpenFrame geometry.
Configuration options.
Protected_Cached bounding volume to prevent re-allocation
Protected_The indices of the geometry for indexed rendering.
Protected_Whether the geometry is purely line-based.
Protected Optional_Optional skinning joints (4 IDs per vertex).
Protected_The normals of the geometry (nx, ny, nz).
Protected_The tangents of the geometry (tx, ty, tz).
Protected_The UV coordinates of the geometry (u, v).
Protected_The vertices of the geometry (x, y, z).
Protected Optional_Optional skinning weights (4 weights per vertex).
Protected_The indices for wireframe rendering.
Extrusion depth (t).
Outer height (h).
Wall thickness (c).
Outer width (a).
Protected_Helper method to create an appropriately sized index array. Automatically chooses between 16-bit and 32-bit indices based on vertex count.
The number of indices needed.
A Uint16Array or Uint32Array.
Applies a Matrix4 transformation to all geometry vertices in-place.
The transformation matrix.
this
Computes the normals of the geometry using the current vertices and indices. Averages normals for shared vertices.
Computes the tangents of the geometry based on normals and UVs. Required for normal mapping.
Computes the wireframe indices (line-segments) from the current triangle topology.
ProtectedgenerateGenerates the raw geometry data. Must be implemented by subclasses.
Calculates the 2D cross-sectional area $A = c(2h + a - 2c)$.
Returns a bounding volume that encapsulates this geometry.
The bounding volume.
Returns the raw geometry data ready for GPU upload.
The geometry data interface.
Calculates the inner height $i = h - c$.
Calculates the inner width $b = a - 2c$.
Calculates the perimeter $u = 2a + 4h - 4c$.
Calculates the total surface area (2D area if depth = 0, or $2A + u \cdot t$ if depth > 0).
Calculates the 3D volume $V = A \cdot t$.
Rotates the geometry vertices around the X-axis in-place.
The rotation angle in radians.
this
Rotates the geometry vertices around the Y-axis in-place.
The rotation angle in radians.
this
Rotates the geometry vertices around the Z-axis in-place.
The rotation angle in radians.
this
Scales the geometry vertices in-place.
The scale factor.
this
An OpenFrame (Offener Rahmen / U-Profile) geometry.
A U-shaped polygonal profile formed by an outer rectangular boundary of width $a$ and height $h$ with wall thickness $c$, leaving an open rectangular inner notch of inner width $b = a - 2c$ and inner height $i = h - c$.
Can be rendered as a 2D planar polygon in the X-Z plane (when depth = 0) with normal (0, 1, 0), or as a solid 3D extruded U-beam prism (when depth > 0).
Mathematical formulas:
See
https://rechneronline.de/pi/offener-rahmen.php