1. Polyhedra on the Loose.mp4

    03:33

    from Chris Carter Artist Added

    This video is part of Chris Carter's StreetSmart Geometry Project, an integration of Art, Science & Math in public spaces. The footage is from the San Francisco Bay area in California.

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    • Constructing a Tetrahedron with a Compass and a Straightedge

      06:13

      from Chris Carter Artist Added

      Art and Form Series: Constructing a Tetrahedron - demo by Chris Carter - Artist - www.ChrisCarterArt.com

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      • Light patterns on the K-dron wall

        00:20

        from Janusz Kapusta Added 397 3 0

        A group of K-drons can be placed on a square grid in many different arrangements. Any arrangement interacts dramatically with light and shadow. When the angle of light changes, entire new groups of…

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        • Stretched K-drons

          00:33

          from Janusz Kapusta Added 383 1 0

          Stretched K-drons form new proportions but preserve their properties.

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          • K-dron surface as an inside and outside configuration

            00:23

            from Janusz Kapusta Added 231 1 0

            Taking one quarter of each octahedron, black representing exterior, white interior, can create a surface of K-dron.

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            • K-dron surface and two perspectives into Infinity

              00:18

              from Janusz Kapusta Added 216 1 0

              Janusz Kapusta’s first visualization of K-dron surface appearing as two perspectives progressing towards two opposite and infinite directions.

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              • 4 white and 4 black K-drons combinations

                00:45

                from Janusz Kapusta Added 254 2 0

                One black and one white K-dron combined together form a cube. 4 such cubes (4 white and 4 black K-drons) can generate one of 38,416 surface pattern combinations.

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                • K-dron net and a rotational symmetry of a cube

                  01:39

                  from Janusz Kapusta Added 264 1 0

                  A cube sliced by planes along all axes of its symmetry will create 48 pyramids. There is no K-dron in such a divided cube but 4 cubes put it on top of each other easily reveal K-dron. This part of…

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                  • K-dron - 11 pieces

                    01:38

                    from Janusz Kapusta Added 478 1 0

                    The animation shows simple reconstruction of K-dron, whichis built from three squares and one rectangle. The arrow indicates that the longer side of the rectangle is equal to the diagonal of the square.…

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                    • K-dron and a rhombic dodecahedron inside

                      00:47

                      from Janusz Kapusta Added 335 1 0

                      It is its unique property that 2 K-drons can form a cube and 8 such elements can enclose a sphere like shape or more precisely a rhombic dodecahedron.

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