Index A accentual verse, 32-33 “The Cantor Dust,” 105, 156-157 accentual-syllabic verse, 33-34 Cantor, Georg, 25, 141, 143, 146-147, Aisenberg, Nadya, 65 178, 180 “Measures,” 65 0 , aleph naught, 25,178 al-Karaji, 45 infinity, countable, 25, 178 0 , aleph naught, 25,178 infinity, uncountable, 25, 178, 180 analogy, 5, 9-10, 129, 170 Carroll, Lewis (Charles Lutwidge analogical, 10 Dodgson), 193 “Analogy, Mathematics, and Poetry” Catalan Numbers, 51-52 (“Patterns in Poetry and chaos and fractals, 155 Mathematics”) college course, 5 in note, 42 anapest, 34-36 in poem, 159 Apollinaire, Guillaume, 100-101 Chapman, Robin, 158-160 calligrammes, 100 “Escaping the Mandelbrot Set,” 158- “Il Pleut,” 100-101,127 160 translation by Roger Shattuck, 101 Charles, Dorthi, 103-104 assonance, 38 “Concrete Cat,” 103-104, 127 Cherry, Kelly, 82-83 B “Sequence Sonnet,” 82-83 ballad, 39-41, 68 Christensen, Inger, 60 “Sir Patrick Spens” traditional ballad Alphabet,60 and parody, 39-41 Churchill, Winston, 79 Barber’s Paradox, 177 “Circle Limit III,” 120 Bell, E. T., 169 in poetry, 191-192 Men of Mathematics, 169 Cohen, Marion, 173-174 Bernoulli, Jacob (Jacques), 26 “Fermat’s Last Theorem Proven,” Ars Conjectandi, 26 173-174 Bing, Ilse, 191 in note, 173 “Infinitesimal,” 191 Complex Numbers, 20-21, 147-150 Bishop, Elizabeth, 66-68 Complex Plane, 147-150, 154 “A Miracle for Breakfast,” 66-69 plotting points in, 148 Bishop, Morris, translator of Petrarch, 76 convergence, 24 Blake, William, 180-181 Cope, Wendy, 188-189 “Auguries of Innocence,” 180 “Depression,” 188-189 Boulton, Marjorie, 34-35 Coxeter, H. S. M. and M. C. Escher, 119 Bronowski, Jacob, 193 (see hyperbolic geometry) Brown, Kurt Crane, Stephen, 187-188 in note, 162 “War is Kind,” 187-188 Browning, Elizabeth Barrett, 41-42, 184- Cuddin,J.A.,186,187 185 Cummings, E.E., 80, 127-128, 130 “Sonnet XLIII,” 42, 184-185 experiments with sonnet form, 80 “lis/-ten,” 127-128 C “) when what hugs stopping each than silent is,” 80-81 Cantor Dust, 143, 146-147 cyclic number, 70 Theory of Relativity, 171-172 in note, 70 Escher,M.C.,87,117-120,122,191-192 “Circle Limit III,” 120 D in poetry, 191-192 dactyl, 34-36 Coxeter, H. S. M., relationship to Daniel, Arnaut, origins of Sestina, 66 hyperbolic geometry120,122 Dante, 60 “Symmetry Drawing E63,” 119 The Divine Comedy,60 tessellations, 117-120 Daubechies, Ingrid, proof and poetry, 169- Eratosthenes, 193 170 Euclid, 61, 77, 157-158 De Beaulieu, Eustorg, 97 geometry, 119-120, 192 “Gloire à Dieu seul,” 97 Golden Ratio, 61-63 Der-Hovanessian, Diana, 157-158 in poetry, 77, 157-158, 192 “Fractals,” 157-158 Euclidean Plane, 119, 192 in note, 157 Dekker, Thomas, 92 F The Honest Whore,92 Fadiman, Clifton, 39, 60 Devaney, Robert Fermat, Pierre de, 171-172 in note 142 Fermat’s Last Theorem, 171-174 Dickinson, Emily, 186-187 Wiles, Andrew in note, 162 Fermat’s Spiral, 93 “Success is Counted Sweetest,” 187 poetry challenge, 172-174 dimension, Cohen, Marion, 173-174 fractal concept, 136, 138, 141-143, “Fermat’s Last Theorem 145-146 Proven,” 173-174 Hausdorff-Besicovitch dimension, Mazur, Barry, 172-173 142-143 “Sing Fermat,” 173 in geometry, 87-89, 176, 178 Teitelbaum, Jeremy, 172 in poetry, 161, 165, Fibonacci Sequence (Fibonacci Numbers), in note, 162 45,48-49,52-61,62,66,104 Diophantus, 171-172 Golden Ratio, 61-62 Diophantine Equations, 171-172 in music, 59 Doplicher, Fabio, 130 in nature, 54-59 “Asymmetry of the Universe,” 130 in poetry, 59-61, 104 Duckworth, George E., 60 in Virgil’s Aeneid,60 Structural Patterns and Proportions Leonardo of Pisa, 49, 53 in Vergil’s Aeneid: A Study in Liber Abaci,53 Mathematical Composition,60 Lucas Numbers, 53 controversy over findings, 60 origins, 53 Dürer, Albrecht, 28-29 rabbit breeding problem, 53-54 in note, 30 figurative language, 183, 184-185, 188- “Melancholia I,” 28-29 189, 193 dynamical systems, 155 Flegg, Graham, 30 in poetry, 157 in note, 30 Numbers, Their History and Meaning, E 30 Eddington, Sir Arthur, 171 fractals, 12, 13, 78, 131-167, 193 “The Clock no question makes of basic concepts, 133-138 Fasts and Slows,” 171 definition, artistic, 133 Edwards, A. W. F., 45 definition, mathematical, 134-136 Pascal’s Arithmetic Triangle,45 Cantor Set (Cantor Dust), 146-147, Einstein, Albert, 171-172 156-157 208.