Category: Currently Showing

Kimisty (Hexagonal bipyramid)
Untitled, brass wire and solder [12 F, 18 E, 8 V] The bipyamids are an infinite family of polyhedra with any even number of identical faces, although not necessarily all identical angles. This one based on a hexagon has twelve faces, with one half elongated so that there are two different types of faces rather…

Alex Kontorovich (Excavated truncated cuboctahedron)
Genus 11 Stewart Toroid, wood, paint, and brass [76 F, 168 E, 72 V] Why is this shape different from all the others? Why does it not hang in the same plane as the rest? All of the other shapes in Polyplane are “spherical,” meaning that their corners and edges can be mapped onto a…

Jane and John Kostick (Compound of twelve triangular prisms)
Tetraxis, injectionmolded plastic and magnets. Contributed by Glen Whitney. [80 F, 150 E, 72 V] This object is a discontinued magnetic puzzle toy (although the creators may still produce versions in wood upon request), at one time highly rated by New Yorker magazine and described as “challenging but not throwitacrosstheroom challenging.” Note how each of…

Jane Kostick (Propelloicosahedron)
Untitled, six species of wood. Contributed by Glen Whitney. [80 F, 150 E, 72 V] The “propello” operation devised by George Hart forms a new polyhedron from a previously known one in a way similar to the snub operation that produces the snub cube, but it introduces quadrilaterals rather than triangles between the expanded faces…

Paula Beardell Krieg (Bilunabirotunda)
Bilunabirotunda in Orange, Neenah exact index white 110#, 199 gsm paper [14 F, 26 E, 14 V] This is one of the Johnson solids, the 92 shapes with no indentations, all of whose sides are regular polygons, that do not have as much symmetry as the Platonic or Archimedean Solids.

Paula Beardell Krieg (Sphenomegacorona)
J88 in Blues, Neenah exact index white 110#, 199 gsm paper [18 F, 28 E, 12 V] This is one of the Johnson solids, the 92 shapes with no indentations, all of whose sides are regular polygons, that do not have as much symmetry as the Platonic or Archimedean Solids.

Paula Beardell Krieg (Triangular hebesphenorotunda)
J92 Moonrock, Neenah exact index white 110#, 199 gsm paper [20 F, 36 E, 18 V] This is one of the Johnson solids, the 92 shapes with no indentations, all of whose sides are regular polygons, that do not have as much symmetry as the Platonic or Archimedean Solids.

Paula Beardell Krieg (Hebesphenomegacorona)
Dreamy Hebesphenomegacorona, Neenah exact index white 110#, 199 gsm paper [21 F, 33 E, 14 V] This is one of the Johnson solids, the 92 shapes with no indentations, all of whose sides are regular polygons, that do not have as much symmetry as the Platonic or Archimedean Solids.

Paula Beardell Krieg (Pentakis Dodecahedron)
Pentakis Dodecahedron, Stardream Mars 105# cover paper [60 F, 90 E, 32 V] If you replace every meeting spot of three panels of a soccer ball (with its standard pentagonhexagon panels) with a flat triangle, you get this shape. That makes it one of the Catalan solids, geometric “duals” to the highly symmetric Archimedean solids,…

Marke Levene (Octadecagonal prism)
Archiforms, diecut printed cardboard and plastic hinges. Contributed by Studio Infinity. [20 F, 54 E, 36 V] This shape is also a compound of two decagonal prisms, but there are two pairs of decagons (tensided polygons) that are each in the same plane. So each pair of decagons fuses into a nonconvex octadecagon (18sided shape),…