Tetra Table







Tabletop:
- Inner Triangles: Mahogany
- Inner Triangle Edges: Purple Heart
- Outer Middle Parallelograms: Mahogany
- 3x Hexagon Edge: Walnut
- Outer Octagon: Red Oak
Table Base:
- 3/4" Birch Ply
- 1" Steel Bar Custom Brackets
Designed in Rhinoceros 3D
The concept for this tabletop came from a floor design for a geodesic dome. I wanted to geometrically transition from 3 (the triangle in the middle), to 8 (the octagon on the outside). I started by cutting shapes from scrap materials, and the project transformed into the following table design with a complimentary base. I consider the base a prototype, as I'd love to redo it in a nicer wood someday. If I were to build a similar design again, I would definitely consider attaching the table-top pieces with biscuits for added strength.
Enjoy!
Table Top Design

No fancy code or algorithms used. The geometry is all designed by hand, using Rhino's snapping tools.
The Rhino (.3dm) file is attached if you want to explore the design, or make one yourself.
Downloads
Mahogany Interior Triangles

Cut w/Table Saw Jig.
Unfortunately I am lacking documentation in these first steps, as I was "in the zone". I essentially marked the angles on the stock, and used a custom table saw jig make my cuts.
Purple Heart Triangle Edge and Mahogany Pieces

Cut w/Table Saw Jig
Ratchet Strap for Setting/Gluing.

Table Base Design







Truncated Tetrahedron
Created by intersecting two tetrahedrons (3-sided pyramids), and removing the bottom with a boolean plane.
Adding Thickness



Using the 'extrude' tool, I thickened the pieces.
Tablesaw Jig Design for Mitre Cuts

I measured the angles between the pieces with the Angle tool, and designed some mitre jigs explicitly for the form. I aligned the mitre-edge to the vertical table saw blade, and then engineered the jig to support the workpiece with clamps as it gets cut.
I could have also utilized the mitre-angle of the table saw, but it's more precise and less confusing to leave the blade at a vertical 90 deg.
Cut File

W/Jigs included
Laser Cut Forms and Jig Pieces From 3/4" Birch


Using the Metabeam at Pier9, cut from high quality 3/4" ply.
Sanding Laser-Burnt Edges Off

Jig Assembly


Cross members made from 1/2" ply.
Cut Mitres With Table Saw Jigs








I attached each piece to the jig after I labeled each edge so I would stay organized. I pushed each jig through the saw by hand after attaching the workpiece to the jig with clamps.
Finished Mitre Cuts





Fresh cuts
Measure Interior Angle With Laser-Cut Angle Template

Angle calculated from CAD file, laser cut on an Epilog laser cutter at Pier9. There is only one angle to measure, which makes it easy.
Cutting, Breaking/Bending



Using the laser-cut angle template, I used the metal break to match the angle I needed.
Since the form is a tetrahedron, all the interior angles are identical.
Drill Holes, Countersink Brackets


In the metal shop at Pier9
Pre-drill Holes, and Attach Brackets W/Wood Screws




A little piece of tape on the drill bit keeps from plunging too far.
Bracketed Panel Assembly




I loved this part. It was satisfying knowing that I got the mitre cuts right.
Base Assembly Finished


Sanding Down Tabletop






Lots of dust.
Mitre Tabletop Edges


One last finishing move.
Assembly



Not Pictured: I added small walnut feet on the underside of the tabletop to keep it from shifting around.
Finishing W/Beeswax

Non-toxic, orange oil and beeswax.
Complete



Thanks for looking!