Editing Openai/6945f9bd-f198-8008-bb8c-1ab730279e5f (section)

=== Assistant: Agreed — that is a much cleaner and more truthful construction, and it aligns exactly with your earlier point: the hexa… ===
Agreed — that is a much cleaner and more truthful construction, and it aligns exactly with your earlier point: the hexagram is a projection artifact of three mutually orthogonal planes. We should therefore draw the planes, not the spikes.

Below is a minimal x3dom scene that uses exactly three translucent boxes, aligned with the xy, xz, and yz planes, sized so that:
* From the front, they collapse visually into a hexagram
* When rotated, they clearly reveal a stellated-octahedral structure
* Nothing distracts the eye with overlong struts

This is intentionally restrained.

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The “stellation” emerges from intersection, not from spikes.

==== <syntaxhighlight lang="html"><!DOCTYPE html> ====
<html>
<head>
  <meta charset="UTF-8">
  <title>Kolam Hexagram – 3D Plane Construction</title>
  <script src="https://www.x3dom.org/download/x3dom.js"></script>
  <link rel="stylesheet" href="https://www.x3dom.org/download/x3dom.css"/>
  <style>
    body { margin: 0; background: #fafafa; }
    x3d { width: 100vw; height: 100vh; }
  </style>
</head>

<body>
<x3d>
  <scene>

    <!-- Camera -->
    <viewpoint position="0 0 6" centerOfRotation="0 0 0"></viewpoint>

    <!-- Lighting -->
    <directionallight direction="-1 -1 -1" intensity="0.7"></directionallight>
    <ambientlight intensity="0.4"></ambientlight>

    <!-- Shared translucent appearance -->
    <appearance DEF="planeAppearance">
      <material diffuseColor="0.3 0.45 0.6"
                transparency="0.6"
                specularColor="0.9 0.9 0.9"/>
    </appearance>

    <!-- XY plane -->
    <transform>
      <shape>
        <appearance USE="planeAppearance"/>
        <box size="3 3 0.05"/>
      </shape>
    </transform>

    <!-- XZ plane -->
    <transform rotation="1 0 0 1.5708">
      <shape>
        <appearance USE="planeAppearance"/>
        <box size="3 3 0.05"/>
      </shape>
    </transform>

    <!-- YZ plane -->
    <transform rotation="0 1 0 1.5708">
      <shape>
        <appearance USE="planeAppearance"/>
        <box size="3 3 0.05"/>
      </shape>
    </transform>

  </scene>
</x3d>
</body>
</html>

</syntaxhighlight>

==== ### ====
* From the default view, the intersections of the three planes produce the hexagram-like silhouette
* No visual noise from long edges
* The eye is not distracted from the projection

===== - The octahedron is not drawn explicitly =====
* It emerges from orthogonal planar intersections
* Exactly as in traditional kolam cognition

===== This model shows, unambiguously, that: =====

: 

Rotate the scene slightly and the illusion collapses into structure.

==== - Edges impose interpretation ====
* Faces explain too much
* Planes invite reconstruction

This matches:
* Kolam tradition
* Descriptive geometry
* nDspace projection theory

==== Each plane corresponds cleanly to: ====

<syntaxhighlight>Box (0,0,0)(3,3,0.05)
RotateX 90
RotateY 90

</syntaxhighlight>

Which means:
* NodeBox grammar remains intact
* CSV extensions remain minimal
* x3dom becomes a projection backend, not a redesign

==== You may want to keep this formulation: ====

: 

That sentence is mathematically, culturally, and computationally correct.

If you wish, the next natural refinement would be:
* slightly offsetting planes along ±z to encode applicability layers, or
* animating slow rotation to demonstrate projection collapse dynamically.

Both would deepen the demonstration without adding complexity.