# Tom Verhoeff and Bart van Overbeeke

Assistant Professor in Computer Science
Eindhoven University of Technology
Eindhoven, Netherlands

Tom Verhoeff got involved into mathematical art through his father, Koos Verhoeff. He regularly writes about the work of Koos, and inspired by this occasionally makes his own discoveries and designs.

Bart van Overbeeke is a professional freelance photographer, who is specialized in science and technology photography. He often works for Eindhoven University of Technology.

Photograph of Bamboozle at MetaForum
60 cm x 90 cm
Glossy print of photograph
2013

Bamboozle is a mathematical artwork designed by Koos Verhoeff and Tom Verhoeff, installed in 2013 in the MetaForum building, which houses the Department of Mathematics and Computer Science at Eindhoven University of Technology. This submission is an artistic photograph of Bamboozle by Bart van Overbeeke. The photograph is taken from below toward the white ceiling, along an order-4 screw axis. The four suspension cables are invisible. On the left and right are two elongated cylindrical lamps. The lighting was set up such that the corrugated walls (visible in a narrow greyish strip at the top and bottom of the photograph) reflect in all the polished acrylic triangles, lending extra intrigue to the picture.

Bamboozle consists of 51 equilateral triangles, meeting in pairs at an angle of 70.5 degrees. Its dimensions are 160 x 160 x 160 cm^3. More information about Bamboozle can be found at <http://www.win.tue.nl/bamboozle> and in the Bridges 2013 article about Folded Strips of Rhombuses.

Connected Rectangles
20 cm x 20 cm x 20 cm
3D Print in Full Color Sandstone (6 colors)
2013

While investigating the Bamboozle (see <http://www.win.tue.nl/bamboozle>), Tom Verhoeff discovered some variants of space-spanning structures involving planar polygons. The structure for this artwork consists of 1:√2 rectangles, meeting pairwise at an angle of 60 degrees such that the rectangles occur in six different orientations. The structure can be extended infinitely to span all of space. In the artwork, only 144 rectangles were selected, 24 of each orientation. Each color represents one rectangle orientation.