Interactive Extrusion Engine
Deriving the 14 Bravais Lattices
Select any of the 17 plane groups below. Watch how symmetry elements (like mirrors and rotation axes) form infinite 3D boundaries. To prevent breaking these symmetries, the extrusion vector ($c$) must snap to specific alignments, revealing the 14 Bravais Lattices.
The 17 Plane Groups
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Status
Basal Plane (y=0)
Extruded Planes
Extrusion Vector Paths
3D Unit Cell (Conventional)
Mirror Plane
Glide Plane
Rotation Axis
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