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Showing posts from July, 2021

truncated octahedron in LEGO™

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  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

truncated icosahedron in LEGO™

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  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

rhombic triacontahedron in LEGO™

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    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

truncated pentagonal hexecontahedron in LEGO™

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    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 .

chamfered dodecahedron in LEGO™

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  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.

LEGO™ rhombicuboctahedron

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  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

Polyhedral Approximations of the Sphere in LEGO™

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 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