Index of /home/baez/mathematical
- Parent Directory
- (2,3,7)_tiling.png
- (2,3,8)_tiling.png
- (2,3,infinity)_coxeter_diagram.jpg
- (2,3,infinity)_tiling.png
- (2,4,5)_tiling.png
- (8,3,2)_tiling.png
- -xlnx.png
- 10-fold_rosette.png
- 1000px-Dimension_levels.svg.jpg
- 1000px-dimension_levels.jpg
- 120-cell-photo.jpg
- 120-cell.gif
- 120-cell.jpg
- 120-cell.png
- 120-cell_bathsheba_grossman.jpg
- 120-cell_from_dimensions_movie.jpg
- 120-cell_half.jpg
- 120-cell_inner.gif
- 123_coordination_game_sandholm.jpg
- 150px-4-cube_t3.svg.png
- 16-cell-orig.gif
- 16-cell.gif
- 16-cell.png
- 16-element_group_1.jpg
- 16-element_group_2.jpg
- 16-element_group_3.jpg
- 179157_439419169412433_178692656_n.jpg
- 2-adic_addition.jpg
- 2-holed_torus.png
- 2-manifolds.jpg
- 2-point_topologies_bradley.jpg
- 2-uniform_tiling_1.png
- 2-uniform_tiling_5.png
- 200px-8-cell-simple.gif
- 200px-Truncated_Octahedron_with_Construction.svg.jpg
- 20_tetrahedra.jpg
- 220px-cuboctahedron.jpg
- 220px-triangular_orthobicupola.png
- 24-cell.gif
- 24-cell.jpg
- 24-cell.png
- 24-cell_balls.jpg
- 24-cell_double_rotation.gif
- 24-cell_sliced.gif
- 24-cell_with_3_cross-polytopes.gif
- 240px-8-cell-double.gif
- 240px-Schlegel_wireframe_8-cell.png
- 240px-Tesseract.gif
- 240px-Triangular_prism.png
- 24_cell.jpg
- 24_cell.png
- 24_cell_sliced.gif
- 260px-Close-packed_spheres,_with_umbrella_light_&_camerea.jpg
- 2^4096.jpg
- 3-uniform_tiling_26.png
- 3-uniform_tiling_35.png
- 3.12.12_tiling.png
- 3.3.3.3.6_tiling_a.png
- 3.3.3.3.6_tiling_b.png
- 3.4.6.4_tiling.png
- 3.7.42_vertex.jpg
- 3.7.42_vertex.png
- 3.8.24_vertex.png
- 3.9.18_vertex.png
- 300px-Villarceau_circles.gif
- 325px-4d_cross-polytope.png
- 325px-hypercube.png
- 325px-hypercube_star.png
- 360px-3D_stereographic_projection_tesseract.PNG
- 360px-3D_stereographic_projection_tesseract.png
- 399px-close_packings.png
- 3D_stereographic_projection_tesseract.PNG
- 3D_stereographic_projection_tesseract.png
- 3_7.gif
- 3_7_runc_512x512.gif
- 3_7_trunc4_512x512.gif
- 3_7_trunc_512x512.gif
- 4-uniform_tiling_29.png
- 4-uniform_tiling_94.png
- 4.5.20_vertex.png
- 4.6.12_tiling.png
- 4.6.12_tiling_2.png
- 400px-bitruncated_tetrahedron.png
- 400px-cantellated_tetrahedron.png
- 400px-cube.png
- 400px-cuboctahedron.png
- 400px-dodecahedron.png
- 400px-dual_tetrahedron.png
- 400px-icosahedron.png
- 400px-icosidodecahedron.png
- 400px-octahedron.png
- 400px-omnitruncated_tetrahedron.png
- 400px-rectified_tetrahedron.png
- 400px-rhombicosidodecahedron.png
- 400px-rhombicuboctahedron.png
- 400px-tetrahedron.png
- 400px-truncated_cube.png
- 400px-truncated_cube_green.jpg
- 400px-truncated_cuboctahedron.png
- 400px-truncated_dodecahedron.png
- 400px-truncated_icosahedron.png
- 400px-truncated_icosidodecahedron.png
- 400px-truncated_octahedron.png
- 400px-truncated_octahedron_green.jpg
- 400px-truncated_tetrahedron.png
- 450px-birectified_cube_sequence.jpg
- 480px-birectified_cube_sequence.jpg
- 48_triangle_branched_cover.gif
- 5-cell.gif
- 500px-Bertrand3-chords.svg.png
- 500px-E8PetrieFull.svg.png
- 500px-E8Petrie_net.png
- 501px-cuboctahedron_as_truncated_cube.png
- 595f49e0fc7e930c148b4567.jpg
- 6.6.6_tiling.png
- 60.png
- 600-cell.gif
- 600-cell.png
- 600px-120-cell_perspective-cell-first-02.png
- 600px-3-orthoplex.png
- 600px-4-orthoplex.png
- 600px-Schlegel_wireframe_120-cell.png
- 600px-Uniform_polyhedron-43-t2.svg.jpg
- 600px-cantellated_tesseract.png
- 600px-rectified_tesseract.jpg
- 600px-truncated_tesseract.jpg
- 65537-gon.jpg
- 65537-gon_hermes.jpg
- 7-3.gif
- 7_3.gif
- 7_3_trunc0_512x512.gif
- 7_sketches/
- 7d_mangoes.jpg
- 8-cell.gif
- 8-fold_rosette.jpg
- 800px-cube_cantellation_sequence.jpg
- 92_gears_by_taffgoch.gif
- A3_dynkin_diagram.jpg
- ACT2018/
- ACT2020/
- ACTUCR/
- Alain_Connes.jpg
- BJK_continuum.png
- Bearing3D009.jpg
- Canadian_Covid_model_part.png
- CardioidCatacaustic.png
- CardioidCycloid_egan.gif
- CardioidDeltoidCycloid_egan.gif
- Cayley_graph_of_the_dihedral_group_of_order_16.jpg
- Cayley_graph_of_the_quasidihedral_group_of_order_16.jpg
- Chen_Gackstatter_surfaces_1.jpg
- Clipboard01.jpg
- Clipboard05.jpg
- Couverture.JPG
- DeltoidCardioid_egan.gif
- Dual_Cube-Octahedron.jpg
- E6_trace_figure_kaiser.png
- E7_polytope.jpg
- E8_in_3d.png
- FP_morphism.jpg
- FinProb_morphism.jpg
- FinProb_object.jpg
- FinStat_composition.jpg
- FinStat_morphism.jpg
- Gentzen.jpg
- Goransson_Kepler.pdf
- HANDY/
- INDRA065.jpg
- INDRA266.jpg
- Icosahedral_reflection_domains.png
- Klein168.gif
- KleinDual.gif
- KleinDual.png
- KleinDualInsideOut.gif
- KleinDualInsideOut_old.gif
- KleinDualOrder7.gif
- KleinDual_old.gif
- KleinFigures.gif
- KleinGraph.gif
- KleinGraph2.gif
- MIRI_workshop.jpg
- Manjul_Bhargava.jpg
- Maryam_Mirzakhani.jpg
- Maryna_Viazovska.jpg
- Peirce_quincuncial.jpg
- Peirce_quincuncial_egan.gif
- Peirce_quincuncial_furuti.jpg
- Peirce_quincuncial_tiled_1.jpg
- Peirce_quincuncial_tiled_2.jpg
- Pruefer_2-group.png
- Rank5HyperbolicDynkins177-198bw.png
- Rhombicdodecahedron.gif
- RollingHypocycloids1.gif
- RollingHypocycloids2.gif
- RollingHypocycloids3.gif
- RollingHypocycloids4.gif
- SU(6)_trace_figure_kaiser.png
- Spin(14)_trace_figure_kaiser.png
- Stereographic_polytope_120cell_faces.png
- Thumbs.db
- Truncatedoctahedron.gif
- Veblen.jpg
- a3_1_dynkin.png
- a3_1_removed.png
- a3_dynkin.png
- a3_dynkin_annotated.png
- a5_dynkin.png
- a7_dynkin.png
- action-perception_loop-tishby.jpg
- action-perception_loop.jpg
- action-perception_loop_tishby.jpg
- affine_dynkin_diagrams.png
- akasagarbha.jpg
- albert-brauer-hasse-noether_theorem.jpg
- alcuin_packing_problem.jpg
- algebraic_numbers.png
- alternating_permutations.png
- antiprism_pentagonal.png
- antiprism_square.png
- antoine's_necklace.jpg
- arabesque_by_taffgoch.jpg
- arbelos.jpg
- archimedes_palimpsest.jpg
- arithmetic-geometric_mean_1.jpg
- arithmetic-geometric_mean_2.jpg
- arithmetic-geometric_mean_3.jpg
- artin-mazur_zeta_function.jpg
- artin_conjecture.jpg
- associahedron.png
- associahedron_triangulated_leinster.jpg
- associahedron_triangulated_leinster.png
- associahedron_with_triangulated_hexagons.png
- astroid_animation.gif
- astroid_as_caustic.png
- astroid_as_envelope.png
- astroid_as_envelope_animation.gif
- astroid_as_envelope_part.png
- astroid_rolling_inside_hypocycloid.gif
- axiom_of_choice.jpg
- axiom_of_choice_cartoon.jpg
- axiom_of_infinity.jpg
- baez_papers_1985-1995.png
- baez_papers_1995-2005.png
- baez_papers_2005-2015.png
- baez_papers_2015-2025.png
- baezhedron_1.jpg
- baezhedron_2.jpg
- bagel.jpg
- balaban_11-cage.jpg
- banach_tarski_paradox.png
- barth_sextic.png
- barth_sextic_abdelaziz_nait_merzouk.jpg
- barth_sextic_cut.jpg
- barth_sextic_oliver_labs.jpg
- barth_sextic_rotated.jpg
- baruchel_2017_03_06_146.png
- beats.gif
- bellard's_formula.jpg
- belt_trick.gif
- bernoulli's_lemniscate_arclength.jpg
- bernstein_polynomials.png
- bertrand's_paradox.png
- beth_numbers.jpg
- bezier_bernstein.jpg
- bezier_curve.gif
- bezier_spline.gif
- bezier_vaitkus.jpg
- bezier_vaitkus_abstract.jpg
- binary_octahedral_group.gif
- biodiversity_0.png
- biodiversity_1.png
- biodiversity_2.png
- biring.jpg
- bitruncated_cubic_honeycomb.2.png
- bitruncated_cubic_honeycomb.jpg
- bivector.png
- bivector_small.jpg
- blackjack_cards.jpg
- blake_pollard_brendan_fong.jpg
- blowup_node.gif
- boethius.jpg
- bolza_curve_fundamental_domain.png
- borwein_egan.jpg
- bourbaki_chow.jpg
- bourbaki_mathias_1.jpg
- bourbaki_mathias_2.jpg
- bourbaki_mathias_3.jpg
- bourbaki_mathias_4.jpg
- bourbaki_solovay.jpg
- boy_that_escalated_quickly.gif
- brad_theilman.jpg
- bradley_operad_1.jpg
- bradley_operad_2.jpg
- braid_thiffeault_finn.jpg
- braided_sets.png
- braids_thiffeault_finn.jpg
- brendan_fong.jpg
- brouwer_fixed_point_theorem.gif
- brouwer_fixed_point_theorem.jpg
- brownian_map.jpg
- brownian_map_le_gall.jpg
- brun's_constant.jpg
- bulatov_disk_with_cuts.gif
- bundle_section.png
- burton/
- bwahaha.jpg
- calabi_yau.jpg
- calkin-wilf_algorithm.gif
- calkin-wilf_spiral.jpg
- calkin-wilf_tree.jpg
- calkin-wilf_tree_2.jpg
- cannonball_stack.png
- cannonballs.jpg
- cantellated_120-cell.jpg
- cantellated_120-cell.png
- cantellated_600-cell.png
- cantellated_600-cell_coxexter_plane.png
- cantellated_600-cell_eusebeia.png
- cantellation_cube_rhombicuboctahedron_octahedron.gif
- cantellation_dodecahedron_rhombicosidodecahedron_icosahedron.gif
- cantitruncated_120-cell.png
- cantitruncated_600-cell.jpg
- cantitruncated_600-cell.png
- cantors_cube.jpg
- capricornoid_1.png
- capricornoid_2.png
- cardioid_animation.gif
- cardioid_animation_2.gif
- cardioid_as_caustic.png
- cardioid_as_envelope.png
- cardioid_as_envelope_animation.gif
- cardioid_as_evolute.png
- cardioids_rolling_on_a_cycloid.gif
- cards.png
- cartier_dieudonne_1.jpg
- cartier_dieudonne_2.jpg
- cartier_grothendieck_police.jpg
- catacaustic_of_3-cusped_epicycloid.png
- catacaustic_of_4-cusped_epicycloid.png
- catacaustic_of_astroid.png
- catacaustic_of_cardioid.png
- catacaustic_of_nephroid.png
- catalan's_constant.jpg
- category_theorists.jpg
- category_theory_calculations.jpg
- catenary_as_evolute_of_tractrix.gif
- causal_loop_diagram.jpg
- causal_loop_diagram_2.jpg
- causal_loop_diagram_3.jpg
- causal_loop_diagram_negative_feedback_loop.jpg
- causal_loop_diagram_positive_feedback_loop.jpg
- caustic_in_coffee_cup.jpg
- changing_dimension_willerton.gif
- charged_particles_on_disc_worley.jpg
- chen-gackstatter_surface_nylander.jpg
- chen_gackstatter_surfaces.png
- chen_gackstatter_surfaces_1.jpg
- chords.jpg
- chords_stretched.jpg
- choreography.jpg
- chu-vandermonde_identity.jpg
- church-turing_thesis.jpg
- circle_of_fifths.png
- cleo_integral.jpg
- clifford_algebra_table.jpg
- clifford_algebras.jpg
- clifford_torus.gif
- clockwork_by_zy0rg.gif
- close_packings.jpg
- clover_arclengths.jpg
- cobordism_associative_law.jpg
- cobordism_associative_law.png
- cobordism_coassociative_law.jpg
- cobordism_coassociative_law.png
- cobordism_cocommutative_law.jpg
- cobordism_cocommutative_law.png
- cobordism_commutative_law.jpg
- cobordism_commutative_law.png
- cobordism_comonoid_laws.jpg
- cobordism_comonoid_laws.png
- cobordism_comultiplication.png
- cobordism_counit.jpg
- cobordism_counit.png
- cobordism_counit_laws.png
- cobordism_frobenius_laws.jpg
- cobordism_frobenius_laws.png
- cobordism_monoid_laws.jpg
- cobordism_monoid_laws.png
- cobordism_multiplication.jpg
- cobordism_multiplication.png
- cobordism_special_law.jpg
- cobordism_special_law.png
- cobordism_unit.jpg
- cobordism_unit.png
- cobordism_unit_laws.jpg
- cobordism_unit_laws.png
- coin_flip_brand.jpg
- collidocycle_egan_side_view.gif
- collidocycle_egan_top_view.gif
- colossally_abundant_numbers.jpg
- commutative_semigroups_grillet.png
- compositional_markov/
- compound_of_five_tetrahedra.png
- compound_of_five_tetrahedra_rotation.png
- compound_of_two_tetrahedra.png
- concave_pyritohedral_dodecahedron.png
- conformal_mapping.png
- conformal_transformation_of_celestial_sphere.png
- conic_sections.gif
- conic_sections.jpg
- conical_singularity.jpg
- connes-consani_1.jpg
- connes-consani_2.jpg
- continued_fraction_ascending.jpg
- converse_stay.jpg
- convex_and_nonconvex_sets.jpg
- convex_hull.jpg
- convex_linear_combination.jpg
- conway_group.jpg
- corelations/
- costa_surface_nylander.jpg
- coxeter.jpg
- coxeter_complex_cornell.jpg
- coxeter_complex_icosahedral.png
- coxeter_complex_octahedral.png
- coxeter_complex_tetrahedral.png
- coxeter_complex_tetrahedral_EF.jpg
- coxeter_complex_tetrahedral_VE.jpg
- coxeter_complex_tetrahedral_VF.jpg
- coxeter_complex_tetrahedral_dual.jpg
- coxeter_complex_tetrahedral_dual_cuboctahedron.jpg
- coxeter_complex_tetrahedral_dual_labelled.jpg
- coxeter_complex_tetrahedral_labelled.png
- coxeter_complex_tetrahedral_labelled_vertices.jpg
- coxeter_complex_triangular_tiling.png
- coya's_law.jpg
- cremona-richmond_configuration.png
- cross_impact_balance/
- cross_polytope.jpg
- cross_polytope.png
- cross_polytope_with_no_quaternions.jpg
- cross_polytope_with_no_quaternions.png
- crystal/
- cube.jpg
- cube.png
- cube_coxeter.png
- cube_coxeter_0th_layer.png
- cube_coxeter_1st_layer.png
- cube_coxeter_2nd_layer.png
- cube_coxeter_3rd_layer.png
- cube_coxeter_edge_face.png
- cube_coxeter_face_edge.jpg
- cube_coxeter_vertex_edge.png
- cube_coxeter_vertex_face.png
- cube_coxeter_with_triangle.png
- cube_coxeter_with_triangle_edge_flipped.png
- cube_coxeter_with_triangle_face_flipped.png
- cube_coxeter_with_triangle_labelled_edges.png
- cube_coxeter_with_triangle_labelled_vertices.png
- cube_coxeter_with_triangle_vertex_flipped.png
- cube_diagonals.png
- cube_in_octahedron.gif
- cube_spinning.gif
- cube_spinning_2.gif
- cube_spinning_gray.gif
- cube_to_rhombic_dodecahedron.gif
- cube_with_2_tetrahedra.gif
- cube_with_complete_flag.png
- cube_with_edge_face_flag.png
- cube_with_vertex_edge_flag.png
- cubic_close-packed_structure.gif
- cubic_close_packing.jpg
- cubical_lattice.gif
- cubical_parabola.png
- cuboctahedron.jpg
- cuboctahedron.png
- cuboctahedron_in_cube.png
- curl.jpg
- curvature.gif
- cycle_probability.jpg
- cycloid_khezeli.gif
- d4_affine_dynkin.png
- d4_dynkin.png
- d4_quiver.png
- d4_quiver_rep_A.png
- d4_quiver_rep_B.png
- d4_quiver_rep_C.png
- d4_quiver_rep_D.png
- d4_quiver_rep_E.png
- d4_quiver_rep_F.png
- d4_quiver_rep_G.png
- d4_quiver_rep_G_labelled.png
- d4_quiver_rep_noninjective.png
- d4_quiver_rep_trivial.png
- d4_quiver_representation.png
- d4_quiver_representaton.png
- d5_dynkin.png
- d7_dynkin.png
- d7_dynkin_annotated.png
- d7_dynkin_ugly.png
- david_spivak.jpg
- death_of_archimedes.jpg
- decagonRose1.png
- decagonRose2.png
- decagonRose3.png
- decagonRose4.png
- deg5.PNG
- deg5_closeup.jpg
- delta.gif
- deltoid_animation.gif
- deltoid_as_evolute.png
- deltoid_rolling_inside_astroid.gif
- deltoid_simson_line_1.png
- deltoid_simson_line_2.png
- deltoid_simson_lines_animation.gif
- demicubes.png
- densest_sphere_packings_conway_sloane.jpg
- derangements.jpg
- derbyshire_sierpinski.png
- desargues_graph_colored.png
- diagonal_line.png
- diagonal_line_with_infinitesimal_neighborhood.png
- diagonal_product.png
- diagonal_separated.png
- diagram.jpg
- diamond.gif
- diamond_graph_sunada.jpg
- die.jpg
- digitalcube.jpg
- digits.jpg
- discriminant_of_icosahedral_symmetry_group.jpg
- discriminant_of_restricted_quintic_a=-2.2_positive_burton.png
- discriminant_of_restricted_quintic_a=2.2_positive_burton.png
- dissection.gif
- distance_between_points_on_unit_sphere_histograms_egan.jpg
- distance_between_points_on_unit_sphere_moments_egan.jpg
- distance_between_unit_quaternions_egan.jpg
- distributivity_implies_associativity.png
- ditrigonal_dodecadodecahedron.png
- dmitry_vagner.jpg
- dobinski's_formula.jpg
- dodecahedra_interlocked.png
- dodecahedron.png
- dodecahedron_axes.png
- dodecahedron_belt.jpg
- dodecahedron_in_cube.gif
- dodecahedron_spinning.gif
- dominoes_falling.gif
- double_dual_1.jpg
- double_dual_2.jpg
- double_gyroid.jpg
- doughnut_and_coffee_cup.gif
- dragon_anton_sherwood.png
- dyadic_rationals.png
- e10_dynkin.png
- e6_dynkin.png
- e7.jpg
- e7_dynkin.png
- e8_1_dynkin.png
- e8_1_removed.png
- e8_2_dynkin.png
- e8_2_removed.png
- e8_3_dynkin.png
- e8_3_removed.png
- e8_4_dynkin.png
- e8_4_removed.png
- e8_5_and_8_dynkin.png
- e8_5_and_8_removed.png
- e8_5_dynkin.png
- e8_5_removed.png
- e8_6_dynkin.png
- e8_6_removed.png
- e8_7_dynkin.png
- e8_7_removed.png
- e8_8_dynkin.png
- e8_8_removed.png
- e8_dynkin.png
- e8_dynkin_annotated.png
- e8_dynkin_numbered.png
- earring_space.png
- effective_potential.jpg
- egan_24-cell/
- egan_clebsch_diagonal_cubic_surface/
- egan_compound_polyhedra/
- egan_crystal/
- egan_discriminants/
- egan_dodecahedral_harmonics/
- egan_gear_lattice.gif
- egan_mcgee_graph/
- egan_pentagon_decagon/
- egan_pentagon_decagon_branched_cover/
- eisenstein_integers.png
- elliptic_curve_C.png
- elliptic_curve_F_q.png
- elliptic_curve_R.png
- elliptic_curve_group_law.png
- elliptic_function_westendorp.gif
- empty_group.jpg
- endrass_octic.gif
- enneper_3_greg_egan.gif
- enneper_4_greg_egan.gif
- enneper_5_greg_egan.gif
- enneper_5_nylander.jpg
- enneper_blinking_spirit.jpg
- enneper_greg_egan.gif
- enneper_ron_avitzur.gif
- enneper_ron_avitzur_closeup.gif
- epicycloid_with_3_cusps_animation.gif
- epsilon_1.jpg
- epsilon_nought.jpg
- epsilon_nought_madore.jpg
- epsilon_nought_madore_small.jpg
- epsilon_numbers.jpg
- equals_sign_whewell.png
- equilateral_triangle.png
- equilateral_triangle_with_circle.jpg
- equilateral_triangle_with_circle.png
- eratosthenes.jpg
- escher_drawing_hands.jpg
- eswaran_subrahmanian.jpg
- eugenia_cheng.jpg
- euler's_polynomial.jpg
- evan_patterson.jpg
- expected_length_of_shortest_cycle.jpg
- exponential_level_sets.gif
- extended_binary_golay_code.png
- face-centered-cubic-fcc1.jpg
- face_centered_cubic.jpg
- face_centered_cubic_2.jpg
- fano.gif
- fano.jpg
- fano.png
- fano_plane.gif
- fano_plane.png
- fano_simple.gif
- feynman_diagrams.jpg
- firoozbakht's_conjecture.jpg
- five_regular_tetrahedra_that_share_an_edge.jpg
- flash_crash.jpg
- foundations_flow_chart.png
- fourier_series.gif
- fourier_transform_of_zeta_zeros_closeup_mcirvin.png
- fourier_transform_of_zeta_zeros_mcirvin.png
- free_heyting_algebra_on_one_generator.jpg
- fritz_resource/
- g2_apartment.jpg
- g2_manifolds.jpg
- gamow_infinities.jpg
- gaussian_2d.png
- gaussian_integers.png
- gaussian_integral_ramanujan.jpg
- genji-mon.png
- genji_mon_rationalized.jpg
- genus_2_curve.png
- genus_3_branched_cover.gif
- geometrical_art.jpg
- gerbet_partitioning_square_into_rectangles/
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