Polyhedra

5 from 6

The 5 Platonic solids each created with 6 identical figures. These figures transform one into another in the video "Platonic Transform". This image appears in Vismath: Experienced-centered Approach and Visuality in the Education of Mathematics and Physics, Kaposvar University, Hungary. 2012.

2012

Male Cube


Six male figures lock wrists to form this cube.
2007

Female Cube

These four female figures form a cube. This model was the first 3d printed Naked Geometry model, The Human Cube (see Sculpture section).
2002-2009

Pentamen

A pentagram is a five-pointed star. When inscribed inside of a pentagon, it becomes a symbol that was of importance to the ancient Pythagoreans. The inscribed pentagram embodies the golden ratio in many ways and was used in part to identify members of the Pythagorean school.

The inscribed pentagram is also the shape of the K5 graph, a complete set of 5 vertices all connected to one another.

Here the graph is represented by a group of 5 men, with their legs forming the pentagon, their arms forming the pentagram, and their heads doubtless lost in mystical contemplation of all that is good and beautiful.

2002

This was one of the earliest pictures in the Naked Geometry project and has become the project's symbol. The work was shown at Bridges 2011 in Coimbra, Portugal.

A more complicated version with female figures was created in 2011.


Below is a 2009 remake of the original pentagram with both female and male versions.


In 2013, the model on the right was printed in stainless steel as a necklace pendant.

Melt into you

2010

This series depicts a couple becoming fractally entwined until they melt into each other infinitely in all directions. The framed set of 4 prints was shown at Bridges 2010, Pécs, Hungary.

The work is an example of the Droste effect, a recursive artistic effect in which a picture contains a smaller version of itself. It is named for Droste cocoa power, a Dutch chocolate product that in 1900 featured on its packaging a picture of nurse holding a package of the cocoa, which has a picture of the nurse holding a package of cocoa, and so on.

Melt into you starts with an image of 2 people, which is transformed by a uniform radial scaling of the image and then joined to a similar copy of itself. The effect is then enhanced by applying fractal algorithms to achieve successively surreal effects.

Borromean Rings

No two of these rings are linked, yet the 3 together are inseparable. If any one of these 3 links is broken, the other two come apart. This is the symbol for strength in unity.

2007

Here is a newer version, the basis for a 3d printed model which is now available as jewelry.

2014
 

Tessellations

There are 3 regular and 8 semi-regular tessellating patterns. Semi-regular tessellations are made of regular polygons, with the same kinds of polygons in the same order meeting at every vertex. Three are recreated here using human figures.

6.4.3.4

Cover image for Matematikk i realfag, 2011. You are invited to hunt for shapes and patterns in this tessellation.

2007

12.3.3

The perimeter of each male figure encompasses 12 edges, which is what makes this semi-regular tessellation possible.

2005

6.3.3.3.3

Thanks to Vi Hart for modeling for this tessellation.
2009



Sierpinski Tower

Bridges 2011, Coimbra, Portugal

The second iteration of the Sierpinski Triangle, made from gymnasts. These acrobats were created using Poser and Photoshop, but the physics is sound and a tower such as this could stand.

Pentamen spiral

40 cm x 40 cm
Digital print on acrylic

This spiral of human figures link their arms and legs together to form an infinite spiral based on design elements of a inscribed pentagram. Whereas in the traditional form the edges of the pentagon are equal length, in this representation each successive edge is scaled in proportion to the golden mean, thus creating a spiral instead of a closed figure. The arm and leg linkages create both forms of the golden triangles with angles of 36°, 72° and 108°.

Human Web

2010

Human lives and relationships are strange and complex things, and the Mandelbrot set seems to capture the essence of strangeness and complexity as few mathematical forms can. "The Human Web" juxtaposes a web of human figures with the Mandelbrot set in order to symbolize the complexity and beauty of our human relationships.

The underlying Mandelbrot image was created with Xaos, the human figures created with Poser and arranged into a web using Photoshop. This web was then transformed using MathMap and GIMP, and the various layers were reassembled in Photoshop.

This work was shown at Bridges 2011, in Coimbra, Portugal, and was created in tribute to the late Benoit Mandelbrot.