A <a href="https://en.wikipedia.org/wiki/6-cube" class="extiw" title="w:6-cube">w:6-cube</a> (<a href="https://en.wikipedia.org/wiki/Hexeract" class="extiw" title="w:Hexeract">w:Hexeract</a>) using 6D <a href="https://en.wikipedia.org/wiki/orthographic_projection" class="extiw" title="w:orthographic projection">w:orthographic_projection</a> to a 3D <a href="https://en.wikipedia.org/wiki/Perspective_(visual)" class="extiw" title="w:Perspective (visual)">w:Perspective_(visual)</a> object (the <a href="https://en.wikipedia.org/wiki/Rhombic_triacontahedron" class="extiw" title="w:Rhombic triacontahedron">w:Rhombic_triacontahedron</a>) using the <a href="https://en.wikipedia.org/wiki/Golden_ratio" class="extiw" title="w:Golden ratio">w:Golden ratio</a> φ in the <a href="https://en.wikipedia.org/wiki/basis_vector" class="extiw" title="w:basis vector">w:basis_vectors</a>. This is used to understand the aperiodic <a href="https://en.wikipedia.org/wiki/Icosahedron" class="extiw" title="w:Icosahedron">w:Icosahedron</a> structure of <a href="https://en.wikipedia.org/wiki/Quasicrystal" class="extiw" title="w:Quasicrystal">w:Quasicrystals</a>. This particular projection is used to understand the structure of <a href="https://en.wikipedia.org/wiki/Quasicrystal" class="extiw" title="w:Quasicrystal">w:Quasicrystals</a>. 
<p>The specific basis vectors are: <br></p>
<dl><dd>x = {1, φ, 0, -1, φ, 0}</dd>
<dd>y = {φ, 0, 1, φ, 0, -1}</dd>
<dd>z = {0, 1, φ, 0, -1, φ}</dd></dl><p>There are 64 vertices and 192 unit length edges forming pentagonal symmetry along specific axis (as well as hexagonal symmetries on other axis).
</p>
The edge colors are defined by which of the 6 dimensions it aligns with.
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