All Peter Liepa’s Videos
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00:51186 Plays / 0 Likes / 0 Comments
Limit set for a Kleinian group. The corresponding tessellation is shown in low contrast. The limit set is just the parts of the tessellation where the tiles get very small. The limit set is black…
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01:36189 Plays / 0 Likes / 0 Comments
Technically a kaleidoscope sequence using a non-euclidean symmetry. But to me it evokes an other-worldly sunrise. For more info, see http://brainjam.ca/tessellations.htm.
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Kaleidoscope with Two Parabolic Generators
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The underlying group has two parabolic generators, and the tessellation is equivalent to a checkboard that has been inverted in a circle centered at the origin. By animating the tiles, we get a (non-euclidean)…
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00:2370 Plays / 1 Likes / 0 Comments
Shows the tessellation for a group which is evolving towards being singly degenerate. Corresponds to Figure 10.9 in the book Indra's Pearls. The parameter is evolving from (t_a,t_b)=(1.97-0.866,1.97-0.866)…
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00:24114 Plays / 1 Likes / 0 Comments
A zoom out for the tessellation corresponding to the group defined in Grandma's Recipe in the book Indra's Pearls. (t_a,t_b)=(1.95+0.02i, 3). For more information see http://www.brainjam.ca/tessellations.htm.
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Unwinding an Apollonian Gasket
00:24109 Plays / 3 Likes / 0 Comments
A Grandma's Recipe group evolving from (t_a,t_b)=(2,2) to (t_a,t_b)=(2+1.2i,3). There is a freeze frame at about the 6sec mark where (t_a,t_b)=(2+0.1i,3). This corresponds to Figure 8.7 in the book…
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An Apollonian Gasket Unwinding
00:24100 Plays / 3 Likes / 0 Comments
Grandma's recipe group evolving from (t_a,t_b)=(2,2) to (t_a,t_b)=(2,2+1.275i). The first frame is an Apollonian gasket, the final frame is a quasifuchsian group tessellation. For more information…
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00:24149 Plays / 3 Likes / 0 Comments
A zoom into the tessellation corresponding to Figure 8.1 in Indra's Pearls. The group is defined according to "Grandma's Recipe" with parameters t_a = t_b = 1.87+0.1i, and has two generators. The…
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Zoom into an Apollonian Packing
00:24106 Plays / 2 Likes / 0 Comments
A zoom into the tessellation corresponding to a punctured torus group with Maskit parameter 2. This is an Apollonian packing, with tiles either filled in with text, or with a purple/magenta coloring. The…
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Evolving Punctured Torus Tessellation
00:2498 Plays / 3 Likes / 0 Comments
Tessellation for the continuously evolving punctured torus groups as the Maskit parameter μ goes from 2 to 2+2i. For more information see http://www.brainjam.ca/tessellations.htm.
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Zoom on an Evolving Punctured Torus Group
00:2435 Plays / 1 Likes / 0 Comments
This is a zoom on the tessellation corresponding to a punctured torus group as its Maskit parameter μ evolves from 2 to 2+2i. For more information see http://www.brainjam.ca/tessellations.htm.
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Evolution Toward a Doubly Parabolic Group
00:2454 Plays / 1 Likes / 0 Comments
This is an evolution toward the punctured torus group with Maskit parameter mu=1.64213876+0.76658841i, as described in Figures 9.3 and 9.4 of the book Indra's Pearls. The final configuration is a…
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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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