media.bib

# VIDEOS

@online{dsr_playlist11,
  author={Reznik, D.},
  title={Elliptic Billiards Playlist 2011},
  year={2011},
  url={https://www.youtube.com/playlist?list=PLTgIq68k2wHG3xqhJJ82imNtfkiuFSZvd},
  publisher={YouTube}
}

@online{dsr_playlist19,
  author={Reznik, D.},
  title={Elliptic Billiards Playlist 2019},
  year={2019},
  url={},
  publisher={YouTube}
}

@online{dsr_vid11a,
  author={Reznik, D.},
  title={Periodic trajectories in elliptic billiards I},
  year={2011},
  url={https://youtu.be/9zAr5-nm7mw},
  publisher={YouTube}
}

@online{dsr_vid11b,
  author={Reznik, D.},
  title={Periodic trajectories in elliptic billiards II},
  year={2011},
  url={https://youtu.be/A7mPzrNJHkA},
  publisher={YouTube}
}

@online{dsr_vid11c,
  author={Reznik, D.},
  title={Periodic trajectories in elliptic billiards III},
  year={2011},
  url={https://youtu.be/6yXA0dyWhFY},
  publisher={YouTube}
}

@online{dsr_vid11d,
  author={Reznik, D.},
  title={Locus of incenter is elliptic for family of triangular orbits in elliptic billiard},
  year={2011},
  url={https://youtu.be/BBsyM7RnswA},
  publisher={YouTube}
}

@online{dsr_vid11e,
  author={Reznik, D.},
  title={Locus of the incircle touchpoints is a higher-order curve},
  year={2011},
  url={https://youtu.be/9xU6T7hQMzs},
  publisher={YouTube}
}

@online{dsr_vid19_01,
  author={Reznik, D.},
  title={Locus of several triangular centers is elliptic},
  year={2019},
  url={https://youtu.be/f84W2aVnMpU},
  publisher={YouTube}
}

@online{dsr_vid19_02,
  author={Reznik, D.},
  title={Locus of Feuerbach point and the three extouch points is the internal caustic to the orbits},
  year={2019},
  url={https://youtu.be/1gYb5Y3-rQI},
  publisher={YouTube}
}

@online{dsr_vid19_03,
  author={Reznik, D.},
  title={Locus of the Mittenpunkt is the center of the elliptic billiard},
  year={2019},
  url={https://youtu.be/AoCWcza95OA},
  publisher={YouTube}
}

@online{dsr_vid19_04,
  author={Reznik, D.},
  title={Locus of ex-Feuerbach points is non-elliptic},
  year={2019},
  url={https://youtu.be/YPz0_xbit2I},
  publisher={YouTube}
}

@online{dsr_vid19_05,
  author={Reznik, D.},
  title={Locus of the anticomplement of the Feuerbach point is the billiard itself},
  year={2019},
  url={https://youtu.be/8JKevLpteQk},
  publisher={YouTube}
}

@online{dsr_vid19_06,
  author={Reznik, D.},
  title={Every triangle has a unique circumbilliard},
  year={2019},
  url={https://youtu.be/vSCnorIJ2X8},
  publisher={YouTube}
}

@online{dsr_vid19_07,
  author={Reznik, D.},
  title={Loci of Convex combinations of (1) Baricenter with Median and (2) Incenter with Intouchpoint},
  year={2019},
  url={https://youtu.be/3Gr3Nh5-jHs},
  publisher={YouTube}
}

@online{dsr_vid19_08,
  author={Reznik, D.},
  title={Loci of Convex Combinations of (1) Orthocenter w/ one Foot and (2) Circumcenter with one Vertex},
  year={2019},
  url={https://youtu.be/HZFjkWD_CnE},
  publisher={YouTube}
}

@online{dsr_vid19_09,
  author={Reznik, D.},
  title={Locus of Convex Combinations of one Excenter and its corresponding Extouch point},
  year={2019},
  url={https://youtu.be/OD8Ah0hf8yQ},
  publisher={YouTube}
}

@online{dsr_vid19_10,
  author={Reznik, D.},
  title={3-periodic orbits in Elliptic Billiards: locus orthic triangle's incenter is a 4-arc ellipse},
  year={2019},
  url={https://youtu.be/3qJnwpFkUFQ},
  publisher={YouTube}
}

@online{dsr_vid19_11,
  author={Reznik, D.},
  title={Locus of triangular orbit orthocenter, orthic orthocenter, incenter, and orthic orthic's incenter},
  year={2019},
  url={https://youtu.be/HY577AZVi7I},
  publisher={YouTube}
}

@online{dsr_vid19_12,
  author={Reznik, D.},
  title={Excentral of Orthic for Acute and Obtuse Triangles},
  year={2019},
  url={https://youtu.be/-bLuvICzmqM},
  publisher={YouTube}
}

@online{dsr_vid19_13,
  author={Reznik, D.},
  title={Quadrangular (4-periodic) Orbits in an Elliptic Billiard},
  year={2019},
  url={https://youtu.be/BTSNc_YN0lo},
  publisher={YouTube}
}

@online{dsr_vid19_14,
  author={Reznik, D.},
  title={Quadrangular Orbits in Elliptic Billiards: Loci of Triangle Centers for Vertex Triad},
  year={2019},
  url={https://youtu.be/y2bnml8heGg},
  publisher={YouTube}
}

@online{dsr_vid19_15,
  author={Reznik, D.},
  title={Family of Pentagonal Orbits in Elliptic Billiard (a=1.5, loci P1,P2,P3)},
  year={2019},
  url={https://youtu.be/yQMOtAGdrqA},
  publisher={YouTube}
}

@online{dsr_vid19_16,
  author={Reznik, D.},
  title={Family of Pentagonal Orbits in Elliptic Billiard (a=1.5, loci P1,P2,P4)},
  year={2019},
  url={https://youtu.be/2MA1h-dMnw8},
  publisher={YouTube}
}

@online{dsr_vid19_17,
  author={Reznik, D.},
  title={Family of Pentagonal Orbits in Elliptic Billiard and Loci of Subtriangles (Side-By-Side)},
  year={2019},
  url={https://youtu.be/4lj9yQ-e_cE},
  publisher={YouTube}
}

@online{dsr_vid19_18,
  author={Reznik, D.},
  title={Upright Pentagonal Orbit in Elliptic Billiard},
  year={2019},
  url={https://youtu.be/RQE1s2siPSo},
  publisher={YouTube}
}

@online{dsr_vid19_19,
  author={Reznik, D.},
  title={Elliptic Billiards: tangents from a point on boundary to caustics},
  year={2019},
  url={https://youtu.be/mkhhd536_2w},
  publisher={YouTube}
}

@online{dsr_vid19_20,
  author={Reznik, D.},
  title={Elliptic Billiard: tangents to caustics from billiard's vertex lie on a single circle},
  year={2019},
  url={https://youtu.be/NsZUyDJ6IOs},
  publisher={YouTube}
}

@online{dsr_vid19_21,
  author={Reznik, D.},
  title={Loci of tangents to Ellipse confocals: point traverses entire elliptic boundary},
  year={2019},
  url={https://youtu.be/EL4vgcJaktc},
  publisher={YouTube}
}

@online{dsr_vid19_22,
  author={Reznik, D.},
  title={Loci of tangents to Ellipse confocals: point traverses neighborhood of right vertex},
  year={2019},
  url={https://youtu.be/J5CA9UJVflI},
  publisher={YouTube}
}

@online{dsr_vid19_23,
  author={Reznik, D.},
  title={Elliptic Billiards: N=5 self-intersecting orbit (pentagram)},
  year={2019},
  url={https://youtu.be/ECe4DptduJY},
  publisher={YouTube}
}

@online{dsr_vid19_24,
  author={Reznik, D.},
  title={Locus of tangents from ellipse (variable eccentricity): 5,94,-45, and 45 degrees starting points},
  year={2019},
  url={https://youtu.be/Ac0iej_TaEc},
  publisher={YouTube}
}

@online{dsr_vid19_25,
  author={Reznik, D.},
  title={Locus of tangents from ellipse (variable eccentricity): -45, and 45 degree starting points},
  year={2019},
  url={https://www.youtube.com/watch?v=lXhnBksS74E},
  publisher={YouTube}
}

@online{dsr_vid19_26,
  author={Reznik, D.},
  title={Elliptic Billiards: Family of N=4 self-intersecting ("bowtie") orbits and their hyperbolic caustic},
  year={2019},
  url={https://youtu.be/cCYxN7ueGV4},
  publisher={YouTube}
}

@online{dsr_vid19_27,
  author={Reznik, D.},
  title={Octagramma Mysticum in an Elliptic Billiard},
  url={https://youtu.be/mDomB-_GiNA},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_28,
  author={Reznik, D.},
  title={Octagramma Mysticum in Elliptic Billiard: inner and outer loci},
  url={https://youtu.be/xgdgx0erM58},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_29,
  author={Reznik, D.},
  title={Enagramma (N=9) Mysticum in Elliptic Billiard: loci of side intersections},
  url={https://youtu.be/ECo1hTCVuDg},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_30,
  author={Reznik, D.},
  title={Elliptic Billiards: Locus of Vertices of the Excentral Polygon},
  url={https://youtu.be/kaYWlBTpUPw},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_31,
  author={Reznik, D.},
  title={Elliptic Billiards: Pentagonal Orbits and Feet of Excenters},
  url={https://youtu.be/PRkhrUNTXd8},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_32,
  author={Reznik, D.},
  title={Elliptic Billiards: Locus of Meetpoints of Excentral-to-Orbit Perpendiculars (N=5)},
  url={https://youtu.be/ugRFxo0l2OI},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_33,
  author={Reznik, D.},
  title={Elliptic Billiards: Locus of Meetpoints of Excentral-to-Orbit Perpendiculars (N=4)},
  url={https://youtu.be/JTasf8JKoH0},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_34,
  author={Reznik, D.},
  title={Elliptic Billiards: Locus of Meetpoints of Excentral-to-Orbit Perpendiculars (N=3)},
  url={https://www.youtube.com/watch?v=NwPioKleiyU},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_35,
  author={Reznik, D.},
  title={Elliptic Billiards: Feuerbach point and derivatives sweep billiard and caustic},
  url={https://youtu.be/xSnRd6WWiKc}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_36,
  author={Reznik, D.},
  title={Elliptic Billiard: N=3 orbits, circumbilliard of anticomplementary triangle},
  url={https://youtu.be/18RyUdh8qLk}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_37,
  author={Reznik, D.},
  title={Elliptic Billiard: Locus of Feuerbach point of Anticomplementary Triangle},
  url={https://youtu.be/50dyxWJhfN4}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_38,
  author={Reznik, D.},
  title={Triangular Orbits in an Elliptic Billiards and its Derived Triangles},
  url={https://youtu.be/xyroRTEVNDc}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_39,
  author={Reznik, D.},
  title={Elliptic Billiards for N=3: X(144), the "Darboux" point},
  url={https://youtu.be/NzGKU75-Fuo}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_40,
  author={Reznik, D.},
  title={N=3 orbits in elliptic billiard: Anticomplementary triangle intouch points and circumbilliard},
  url={https://youtu.be/gwfx6LDJnsE}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_41,
  author={Reznik, D.},
  title={Elliptic Billiards: Anticomplementary, Medial Triangles and the Contact Triangle},
  url={https://youtu.be/xyHUwpvAj3g}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_42,
  author={Reznik, D.},
  title={Elliptic Billiard: Antiorthic Axis and 5 points on the Billiard},
  url={https://youtu.be/vyHZ8fwyiE8}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_43,
  author={Reznik, D.},
  title={Triangular Orbits in Elliptic Billiards: Peter Moses' Points on the Billiard},
  url={https://youtu.be/JdcJt5PExsw}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_44,
  author={Reznik, D.},
  title={Triangular Orbits, Elliptic Billiards: Vertices of Anticomplementary Contact Triangle Sweep Billiard}, 
  url={https://www.youtube.com/watch?v=86TZzDuRNN0},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_45,
  author={Reznik, D.},
  url={https://www.youtube.com/watch?v=86TZzDuRNN0},
  title={N=3 Orbits in Elliptic Billiards: Contact Triangle of Anticomplentary are on Billiard}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_46,
  author={Reznik, D.},
  title={Triangular Orbits in Elliptic Billiards: The X(100) Miracle Hyperbola},
  url={https://youtu.be/uS0V1YjmEyY}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_47,
  author={Reznik, D.},
  title={Triangular Orbits in Elliptic Billiards: Locus of the Bevan point X(40)},
  url={https://youtu.be/NwPioKleiyU}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_48,
  author={Reznik, D.},
  title={Elliptic Billiard and Triangular Orbits: The Feuerbach and Excentral Hyperbolas},
  url={https://youtu.be/T5vXNsRcHZg}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_49,
  author={Reznik, D.},
  title={Elliptic Billiards: The Jerabek Hyperbola and Circumbilliard of the Excentral Triangle},
  url={https://youtu.be/7Q1TCbW2jFM}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_50,
  author={Reznik, D.},
  title={N=3 Orbits in Elliptic Billiards: Cosine Circle of Excentral of Orbits is Stationary},
  url={https://youtu.be/ACinCf-D_Ok}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_51,
  author={Reznik, D.},
  title={N=3 Orbits in Elliptic Billiards: Locus of Intersection of Anti-Tangents is Stationary Circle},
  url={https://youtu.be/CrOSI8d8qDc}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_52,
  author={Reznik, D.},
  title={N=3 Orbits in Elliptic Billiards: Intersections of Excentral Triangle and its Reflection is a Circle},
  url={https://youtu.be/hCQIT6_XhaQ}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_53,
  author={Reznik, D.},
  title={Elliptic Billiards in Brazil},
  url={https://youtu.be/PHitZFbps8M}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_54,
  author={Reznik, D.},
  title={Elliptical Billiards: an N=5 orbit and its Circle of Darboux},
  url={https://youtu.be/dINE4aH1cvk}, 
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_55,
  author={Reznik, D.},
  title={Elliptic Billiards: Circles of Darboux for N=3,4,5,6,7,8},
  url={https://youtu.be/EFeINGIDFrg},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_56,
  author={Reznik, D.},
  title={Elliptic Billiard and its Isotomic and Isogonal Conjugates wrt to the Family of N=3 Orbits},
  url={https://youtu.be/C0fIMK6fuAU},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_57,
  author={Reznik, D.},
  title={Elliptic Billiards: Invariants of the Incenter-Centered Circumellipse},
  url={https://youtu.be/82gYh_3hIe4},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_58,
  author={Reznik, D.},
  title={Elliptic Billiards and Triangular Orbits: Invariants of the Steiner Circumellipse and Inellipse},
  url={https://youtu.be/YQpX1eZ6O0I},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_59,
  author={Reznik, D.},
  title={Elliptic Billiards: Locus of the Summit of Outer Napoleon Triangles of N=3 Orbits},
  url={https://youtu.be/70-E-NZrNCQ},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_60,
  author={Reznik, D.},
  title={Elliptic Billiards and the N=3 Orbit Family: Loci of Outer Napoleon Equilateral Construction},
  url={https://youtu.be/wwuvau5GeqY},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_61,
  author={Reznik, D.},
  title={Elliptic Billiards and Triangular Orbits: Locus of X(i), i=1,2,3,4,5 and Euler Line},
  url={https://youtu.be/sMcNzcYaqtg},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_61,
  author={Reznik, D.},
  title={Elliptic Billiards: Non-Elliptic Loci of Medians, Intouch and External Feuerbach Points},
  url={https://youtu.be/OGvCQbYqJyI},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_62,
  author={Reznik, D.},
  title={Elliptic Billiards: Family of N=4 Orbits and Monge's Orthoptic Circle},
  url={https://youtu.be/9fI3iM2jrmI},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_63,
  author={Reznik, D.},
  title={Ellitpic Billiards and N=3 Orbits: Locus of Intersection of X(1)- and X(2)-centered circumellipses},
  url={https://youtu.be/PTkpvvsjqNc},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_64,
  author={Reznik, D.},
  title={Elliptic Billiards and Triangular Orbits: Conservation of Sum and Product of Cosines},
  url={https://youtu.be/P8ykpE_ZbZ8},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_65,
  author={Reznik, D.},
  title={Elliptic Billiards: Locus Miquel Point of Extouch Points of N=3 Orbits},
  url={https://youtu.be/CKaV_AKZc1U},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_66,
  author={Reznik, D.},
  title={Elliptic Billiards and N=3 orbits: the Miquel Point of the Extouch and Excentral Triangles},
  url={https://youtu.be/jDWwrUWVmjg},
  year={2019},
  publisher={YouTube}
}

@online{dsr_vid19_67,
  author={Reznik, D.},
  title={Elliptic Billiard and family of N=5 self-intersecting (pentagram) orbits},
  url={https://youtu.be/ZaqvmK22pBM},
  year={2019},
  publisher={YouTube}
}

# IMAGES

@online{dsr_img11a,
  author={Reznik, D.},
  title={Gallery of periodic orbits in elliptic billiards},
  year={2011},
  url={https://photos.app.goo.gl/87CHxKmmmkPa9Att5},
  publisher={Google Photos}
}

@online{dsr_img19a,
  author={Reznik, D.},
  title={Loci of triangular centers $X(1)$ to $X(100)$ for orbit and excentral triangle},
  year={2019},
  url={https://dan-reznik.github.io/Elliptical-Billiards-Triangular-Orbits/loci.html},
  publisher={GitHub Pages}
}

@online{dsr_img19b,
  author={Reznik, D.},
  title={Loci of triangular centers $X(1)$ to $X(100)$ for orbit and 6 derived triangles},
  year={2019},
  url={https://dan-reznik.github.io/Elliptical-Billiards-Triangular-Orbits/loci_6tri.html},
  publisher={GitHub Pages}
}

@online{dsr_applet11a,
  author={Reznik, D.},
  title={"Dynamic Billiards in Ellipse"},
  url={http://demonstrations.wolfram.com/DynamicBilliardsInEllipse/},
  publisher={Wolfram Demonstrations Project},
  year={2011}
}

@online{dsr_applet11b,
  author={Reznik, D.},
  title={Triangular Orbits in Elliptic Billiards: Experimental Playground},
  url={https://www.wolframcloud.com/objects/user-abf31092-d7c1-4e49-8701-dc65d547b021/triangle%20in%20elliptic%20billiard%20v1},
  publisher={Wolfram Cloud},
  year={2019}
}