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  1. Evolving Punctured Torus

    00:24

    by Peter Liepa / Added

    60 Plays / / 0 Comments

    An evolution of the punctured torus group from Maskit parameter μ=20 through 0. For μ<2 the group is generally not discrete.

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    • Parabolic Kaleidoscope

      00:24

      by Peter Liepa / Added

      80 Plays / / 0 Comments

      The tessellation corresponding to a parabolic Kleinian transformation. The tile contents are animated, giving a kaleidoscopic effect. For more information see http://www.brainjam.ca/tessellations.htm.

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      • Fuchsian Reflection Group Zoom

        00:24

        by Peter Liepa / Added

        109 Plays / / 2 Comments

        This is a long zoom into the tessellation corresponding to a Fuchsian reflection group. The blue and green branched structure represents the Cayley graph of the group, which is a free group with…

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        • Apollonian Packing in Gold

          00:24

          by Peter Liepa / Added

          110 Plays / / 0 Comments

          This is the mathematical configuration known as the Apollonian gasket (or packing). Unlike many videos in this group, this is not strictly speaking a tessellation (although each disk in the gasket…

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          • Planet Hyperbolic

            02:28

            by Peter Liepa / Added

            182 Plays / / 0 Comments

            Like an ordinary kaleidoscope, but here we use curved mirrors to get something totally different. For more information see http://www.brainjam.ca/tessellations.htm.

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            • Hyperbolic Triangle Reflection Group

              00:24

              by Peter Liepa / Added

              241 Plays / / 0 Comments

              A zoom into the tessellation corresponding to the (2,3,7) triangle group. For more information, google "Hyperbolic tessellation" or see en.wikipedia.org/wiki/(2,3,7)_triangle_group. For general…

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              • Evolving Punctured Torus Group

                00:24

                by Peter Liepa / Added

                68 Plays / / 0 Comments

                A zoom into the tessellation for a punctured torus group as mu approaches 1.84+0.1124i. Rendered in UltraFractal. For more information see http://www.brainjam.ca/tessellations.htm.

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                • Punctured Torus Tessellation Zoom

                  00:24

                  by Peter Liepa / Added

                  52 Plays / / 0 Comments

                  Zoom into the tessellation for the punctured torus group with Maskit parameter mu = 2+i. For more information see http://www.brainjam.ca/tessellations.htm.

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                  • Hyperbolic Triangle Reflection Group (3 sec)

                    00:03

                    by Peter Liepa / Added

                    180 Plays / / 0 Comments

                    This is zoom into the tessellation corresponding to the (2,3,7) triangle group. For more information, google "Hyperbolic tessellation" or see http://en.wikipedia.org/wiki/(2,3,7)_triangle_group. For…

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                    Peter Liepa

                    Here are all of the videos that Peter Liepa has uploaded to Vimeo. Appearances are videos that Peter Liepa has been credited in by others.

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