Polyhedral Ornaments

  For our  paper  on LEGO polyhedra, I built several truncated octahedron models. Squares in the truncated octahedron can be represented implicitly or explicitly A Polydron model flanked by our Lego builds of truncated octahedra The truncated octahedron consists of 8 hexagons and 6 squares

  For our  paper  on LEGO polyhedra, Jin Yamauchi built a truncated icosahedron. This shape consists of 20 hexagons and 12 pentagons.  It is a Goldberg polyhedron . multicolored C 60 using 1x4 Lego tiles and plates Lego fullerene models make interesting shadows truncated icosahedron flanked by a dog toy and a soccer ball pillow Our Lego model flanked by Polydron and Zometool models The truncated icosahedron is the underlying shape of the buckyball

    For our  paper  on LEGO polyhedra, Jin Yamauchi built a rhombic triacontahedron. This shape consists of 30 golden rhombi. rhombic triacontahedron build in Lego other rhombic triacontrahedron models from Zometool, Ball of Whacks, and Polydron rhombic triacontrahedron build using Zometool & Polydron along with a 30-sided dice

    For our  paper  on LEGO polyhedra, Jin Yamauchi built a truncated pentagonal hexecontahedron. This shape consists of 60 hexagons and 12 pentagons.  It is a Goldberg polyhedron .

  For our  paper  on LEGO polyhedra, I built a chamfered dodecahedron (also known as a truncated rhombic triacontahedron) . It consists of 30 hexagons and 12 pentagons. It is a Goldberg polyhedron . chamfered dodecahedron in LEGO There is a band of hexagons along the equator of the model. It is possible to strip the hexagons on top of this band to form a hemispherical model. hemispherical bowl top view of bowl This shape cannot be modeled using Polydron or Zometool.

  For our  paper on LEGO™ polyhedra, I built several rhombicuboctahedron models. several rhombicuboctahedron in a box rhombicuboctahedron in different colors our Lego rhombicuboctahedron flanked by 2 different Polydron models Our Lego rhombicuboctahedron flanked by a Magformers model and a Polydron frameworks model Our Lego rhombicuboctahedron flanked by a Zometool model and a Polydron model Our Lego rhombicuboctahedron flanked by a Rubik's snake toy along with other models. mixed basket The rhombicuboctahedron also makes an appearance as a level in Super Mario Galaxy  Super Mario Galaxy for the Nintendo Wii

 This is a supplementary webpage to my Bridges 2021 paper coauthored with Jin Yamauchi. The paper can be downloaded in  http://archive.bridgesmathart.org/2021/bridges2021-309.html More details on specific polyhedra rhombicuboctahedron truncated icosahedron chamfered dodecahedron truncated pentagonal hexecontahedron rhombic triacontahedron truncated octahedron