Gyroid棱镜几何形态：四边形瓷砖60款（Quad_60）

Gyroid, Quadrangular Tile 60, Quad_60

2024-01-16 01:07:30

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Summary

Quadrangular Tile 60, Quad_60, of the Gyroid

Quad 60 Tiles the Gyroid Surface

The gyroid can be constructed using several component surfaces in 3D tessellation, taking advantage of its intrinsic symmetries. Schoen illustrated the quadrangular tile or Quad-60 in Figure 3.3i-j-k on https://schoengeometry.com/e-tpms.html . The quad-60 tile is easier to print with minimal support. Six copies of Quad-60 will make a "semi-regular skew 12-gon" with face angles at alternating 60 and 120 degrees. Schoen mentioned that this 12-gon does not tile G. However, in my experiments, it seems that it does with rotation and reflection. I have yet to find a physical counterexample. I will post an update when I do have one ready.

That said, the 12-gon is not easy to print because it requires extensive support. So it is recommended that quad 60 be used to tile the G, using the 12-gon as an experimental intermediate component.

Reference

https://schoengeometry.com/e-tpms.html, Figures E3.3i-l .

Print Settings

Rafts:
Yes
Supports:
Yes
Resolution:
.2mm
Infill:
20%
Filament brand:
n/a
Filament color:
n/a
Filament material:
PLA
Notes:
Please rotate the Quad 60 piece to a vertical position to minimize support. Do add a raft to improve bed adhesion.