Platonic and Archimedean Solids

Dodecahedron- A form entirely created on the lathe without carving.---AVAILABLE


Dodecahedron- American Hophornbeam, Bush oil. 6" x 6' x 6"---AVAILABLE


Dodecahedron- Stand was turned and carved from Cherry, dyed black and finishe with Kryloon. 10.5" H on stand.---AVAILABLE


Geometallic Seed Pod- Inspired by the flowers and leaves of the Buttonbush plant that grows near wetlands here in VT--- AVAILABLE


Geometallic Seed Pod- The geometry of the pod is that of a Pentakis Dodecahedron that has 32 vertices, 60 equilateral triangle faces and 90 edges--- AVAILABLE


Geometallic Seed Pod- Cherry, Maple, African Blackwood, Acrylics 10” h x 7”dCherry, Maple, African Blackwood, Acrylics 10” h x 7”d-- AVAILABLE


Implosion- Inspired by the process of a Red Giant star collapsing into a white dwarf.-----SOLD


Implosion- Form is a tetrahedron derived from a sphere.-----SOLD


Implosion- Sugar Maple, Acrylics, Stainless steel, Soapstone Spherical tetrahedron 5.5” D, 7” high on base-----SOLD


A Geometer's Treasure Box. A turned cube selected for showing in the AAW "Out of the Woods" POP show---Sold


A Geometer's Treasure Box. Box-Asian Ironwood Burl, Treasures- Tulipwood, Lignum Vitae, Yellowheart, Pernambuco, Holly, Ebony and Thuya Burl.---Sold


The treasures include a sphere, cube, cylinder, cone, tetrahedron, octahedron and a dodecahedron.---Sold


Floral Symmetry- An icosahedron that has 20 equilateral triangular faces---SOLD


Floral Symmetry- There are a number of symmetries in this piece including the 20 equilateral triangles, 12 pentagonal flowers, 12 3 lobed negative space flowers and hints of hexagons formed by the sides of the foliage.---SOLD


Floral Symmetry- American Hophornbeam (not that you could tell), India ink, Acrylics
6.5” x 6.5” x 6.5”---SOLD


Lost Reliquary of Thoth- A tetrahedron. Inspired by ancient Egypt, the pyramids and heiroglyphics. Thoth was an Egyptian god credited for creating writing. Also symbols of a Ankh, symbol of life and a star tetrahedron--- AVAILABLE


Lost Reliquary of Thoth- Box Elder, Acrylics, India Ink, 23K gold leaf. 6” H x 7” W x 6” D.----AVAILABLE


Lost Reliquary of Thoth- Box open showing interior spherical box and the relics of Thoth. A stylus for writng, a tablature for writing on and an Ankh.----AVAILABLE


Event Horizon- A cube turned on the lathe on 6 axes. Inward spirals inspired by the paths of matter and light as it approaches and is swallowed by a black hole---SOLD


Event Horizon- Cube- Macassar Ebony, Waterlox 3.5” x3.5” x 3.5”. Base- Holly, Fixatiff 1” x 7”----SOLD


Event Horizon- detail----SOLD


Event Horizon II- A cube inspired by the physics surrounding a black hole.----AVAILABLE


Event Horizon II- Macassar Ebony, Waterlox, 3.75" x 3.75" x 3.75", 9" high on stand----AVAILABLE


Event Horizon II- Detail----AVAILABLE


Octahedron- An polyhedron composed of 8 identical equilateral triangles featuring an interior spherical box.----AVALIABLE


Octahedron- Spalted Black Ash Burl, Waterlox, Soapstone, 5” W x 5” D x 8” H----AVALIABLE


Octahedron- Box open----AVAILABLE


Octahedron II- My first attempt at the form. I did not get the faces quite perfect and discovered a large bark inclusion when turning the form.----AVAILABLE


Octahedron II- Box Elder Burl, Ebony, Colored Epoxy, Lacquer, 7" x 4" x 4"----AVAILABLE


Octahedron II- Box open----AVAILABLE


Platonic Ocean- A dodecahedron composed of 12 identical pentagons. Pentagonal symmetry reminded me of starfish, hence the inspiration for the carving.----AVAILABLE


Platonic Ocean- Detail of one starfish (all are based on actual starfish). Basswood, Acrylics, Ink, 23K gold leaf, 6" x 6" x 6"----AVAILABLE


Platonic Ocean- Box open showing the interior sphere and gold leaf.----AVAILABLE


Archimedes Galaxy- A truncated icosahedron (or Bucky ball after Buckminster Fuller, or soccerball) composed of 20 hexagons and 12 pentagons.----AVAILABLE


Archimedes Galaxy- Maple, Acrylics on the form and Chestnut dye on the stand, Fixatiff, 4.75” D, 13.5” H on stand----AVAILABLE


Archimedes Galaxy- detail----AVAILABLE


This page features my exploration of the Platonic and Archimedean solids. The Platonic Solids, discovered by the Pythagoreans but described by Plato (in the Timaeus) , consist of surfaces of a single kind of regular polygon, with identical vertices. The Archimedean Solids, consist of surfaces of more than a single kind of regular polygon, with identical vertices and identical arrangements of polygons around each polygon.

There are 5 Platonic solids all of which are represented here. The tetrahedron has 4 equilateral triangular faces, the cube has 6 square faces, the octahedron has 8 equilateral triangular faces, the dodecahedron has 12 pentagonal faces and the icosahedron has 20 equilateral triangular faces.

There are 13 Archimedean solids. I have only begun to explore these as turned forms, and may pursue some more at a future date.

These forms were all accomplished totally on the lathe using multiple axes to accomplish the desired shape. The surface decoration, including carving, pyrography and color are all done after off the lathe after turning is complete.