Circular View Multiplication Table Visualization

GeoGebra Commands & Parameters

1. Circle((0, 0), r) → c
2. Sequence(((r * cos(((2 * k) * π / N))), (r * sin(((2 * k) * π / N)))), k, 0, N - 1, 1) → points, {(2, 0), (1.9982456601977168, 0.08375130745839925), (1.9929857184990087, 0.16735568666463096), (1.9842294026289558, 0.25066646712860846), (1.97199207414101, 0.3335374934322045), (1.9562952014676114, 0.41582338163551863), (1.9371663222572622, 0.4973797743297095), (1.9146389950641345, 0.5780635938889431), (1.8887527404749622, 0.6577332934771665), (1.859552971776503, 0.7362491053693558), (1.8270909152852017, 0.8134732861516003), (1.7914235204788258, 0.8892703583698549), (1.7526133600877272, 0.9635073482034304), (1.7107285203210134, 1.0360540187462604), (1.665842481420199, 1.106783098486688), (1.618033988749895, 1.1755705045849463), (1.5673869146516797, 1.2422955605566206), (1.513990111303513, 1.3068412079802108), (1.457937254842823, 1.3690942118573772), (1.399326681026731, 1.4289453592656065), (1.3382612127177165, 1.4862896509547885), (1.2748479794973797, 1.5410264855515783), (1.2091982297247499, 1.5930598360483925), (1.1414271353688636, 1.6422984182674079), (1.0716535899579935, 1.68865585100403), (1.0000000000000002, 1.7320508075688772), (0.9265920702397236, 1.7724071584624295), (0.8515585831301457, 1.809654104932039), (0.7750311729042062, 1.843726303177001), (0.6971440946436306, 1.874563978983783), (0.6180339887498949, 1.902113032590307), (0.5378396412305319, 1.9263251335953162), (0.45670174022131177, 1.9471578057463204), (0.3747626291714495, 1.9645745014573772), (0.29216605712482374, 1.9785446659259767), (0.20905692653530736, 1.9890437907365466), (0.12558103905862705, 1.9960534568565431), (0.0418848397667141, 1.999561366949691), (-0.04188483976671341, 1.999561366949691), (-0.12558103905862636, 1.9960534568565431), (-0.20905692653530666, 1.9890437907365468), (-0.29216605712482263, 1.9785446659259767), (-0.37476262917144876, 1.9645745014573774), (-0.4567017402213111, 1.9471578057463206), (-0.5378396412305312, 1.9263251335953164), (-0.6180339887498942, 1.9021130325903073), (-0.69714409464363, 1.8745639789837831), (-0.7750311729042056, 1.8437263031770013), (-0.8515585831301447, 1.8096541049320394), (-0.926592070239723, 1.7724071584624297), (-0.9999999999999996, 1.7320508075688774), (-1.0716535899579929, 1.6886558510040304), (-1.1414271353688632, 1.642298418267408), (-1.2091982297247497, 1.5930598360483927), (-1.2748479794973788, 1.541026485551579), (-1.3382612127177158, 1.486289650954789), (-1.3993266810267304, 1.4289453592656072), (-1.4579372548428227, 1.3690942118573777), (-1.5139901113035126, 1.3068412079802112), (-1.5673869146516795, 1.242295560556621), (-1.6180339887498947, 1.1755705045849465), (-1.6658424814201984, 1.1067830984866889), (-1.7107285203210127, 1.0360540187462612), (-1.752613360087727, 0.9635073482034312), (-1.7914235204788254, 0.8892703583698556), (-1.8270909152852015, 0.8134732861516009), (-1.8595529717765027, 0.7362491053693563), (-1.888752740474962, 0.6577332934771668), (-1.9146389950641343, 0.5780635938889442), (-1.937166322257262, 0.4973797743297105), (-1.9562952014676112, 0.41582338163551946), (-1.9719920741410097, 0.33353749343220523), (-1.9842294026289555, 0.25066646712860907), (-1.9929857184990087, 0.16735568666463146), (-1.9982456601977168, 0.08375130745839962), (-2, 0), (-1.9982456601977168, -0.08375130745839825), (-1.9929857184990087, -0.16735568666463008), (-1.9842294026289558, -0.2506664671286077), (-1.97199207414101, -0.3335374934322039), (-1.9562952014676114, -0.41582338163551813), (-1.9371663222572624, -0.49737977432970915), (-1.914638995064135, -0.578063593888942), (-1.8887527404749624, -0.6577332934771655), (-1.8595529717765031, -0.736249105369355), (-1.8270909152852022, -0.8134732861515996), (-1.791423520478826, -0.8892703583698542), (-1.7526133600877274, -0.96350734820343), (-1.7107285203210136, -1.03605401874626), (-1.6658424814201997, -1.106783098486687), (-1.6180339887498956, -1.1755705045849454), (-1.5673869146516803, -1.24229556055662), (-1.5139901113035135, -1.30684120798021), (-1.4579372548428235, -1.3690942118573768), (-1.3993266810267313, -1.4289453592656063), (-1.338261212717717, -1.486289650954788), (-1.2748479794973804, -1.5410264855515776), (-1.2091982297247508, -1.5930598360483919), (-1.1414271353688643, -1.6422984182674074), (-1.0716535899579942, -1.6886558510040297), (-1.0000000000000009, -1.732050807568877), (-0.9265920702397242, -1.772407158462429), (-0.8515585831301459, -1.8096541049320387), (-0.7750311729042064, -1.8437263031770008), (-0.6971440946436309, -1.874563978983783), (-0.6180339887498951, -1.902113032590307), (-0.5378396412305316, -1.9263251335953162), (-0.4567017402213133, -1.9471578057463201), (-0.374762629171451, -1.964574501457377), (-0.29216605712482485, -1.9785446659259764), (-0.20905692653530847, -1.9890437907365466), (-0.1255810390586282, -1.9960534568565431), (-0.04188483976671523, -1.999561366949691), (0.04188483976671272, -1.999561366949691), (0.12558103905862567, -1.9960534568565431), (0.20905692653530597, -1.9890437907365468), (0.2921660571248224, -1.9785446659259767), (0.37476262917144854, -1.9645745014573774), (0.4567017402213109, -1.9471578057463206), (0.537839641230531, -1.9263251335953164), (0.6180339887498945, -1.9021130325903073), (0.6971440946436285, -1.8745639789837838), (0.7750311729042042, -1.843726303177002), (0.8515585831301437, -1.8096541049320398), (0.9265920702397219, -1.7724071584624301), (0.9999999999999987, -1.732050807568878), (1.071653589957992, -1.688655851004031), (1.1414271353688623, -1.6422984182674087), (1.2091982297247488, -1.5930598360483934), (1.2748479794973786, -1.5410264855515792), (1.3382612127177156, -1.4862896509547892), (1.3993266810267302, -1.4289453592656074), (1.4579372548428224, -1.369094211857378), (1.5139901113035124, -1.3068412079802114), (1.5673869146516792, -1.2422955605566213), (1.6180339887498947, -1.1755705045849467), (1.6658424814201978, -1.10678309848669), (1.7107285203210123, -1.0360540187462621), (1.7526133600877263, -0.9635073482034322), (1.791423520478825, -0.8892703583698566), (1.827090915285201, -0.8134732861516019), (1.8595529717765023, -0.7362491053693574), (1.8887527404749616, -0.6577332934771678), (1.9146389950641343, -0.5780635938889445), (1.937166322257262, -0.4973797743297107), (1.9562952014676112, -0.41582338163551974), (1.9719920741410097, -0.33353749343220546), (1.9842294026289555, -0.2506664671286093), (1.9929857184990085, -0.1673556866646317), (1.9982456601977168, -0.08375130745839986)}
3. Sequence(Segment[Element[points, i], Element[points, Mod[(i * M), N]]], i, 1, N, 1) → l1, {2.0721080374925207, 3.5448143169248594, 3.985971436998017, 3.2360679774997907, 1.5500623458084124, 0.5843321142496464, 2.5496959589947585, 3.804226065180615, 3.894315611492642, 2.8578907185312152, 0.9947595486594197, 1.1561271877778863, 2.9725793019095765, 3.94398414828202, 3.7191059435530063, 2.4183964594495007, 0.4181138530706138, 1.7031171662602902, 3.3773117020080603, 3.9991227338993816, 3.464101615137755, 1.9270146964068615, 0.16750261491679833, 2.282854270737727, 3.6541818305704035, 3.968458805257911, 3.13477382930336, 1.3942881892872605, 0.8316467632710371, 2.738188423714754, 3.8526502671906324, 3.852650267190633, 2.738188423714755, 0.8316467632710375, 1.394288189287261, 3.1347738293033585, 3.968458805257911, 3.654181830570404, 2.282854270737726, 0.16750261491679835, 1.927014696406861, 3.4641016151377544, 3.999122733899382, 3.3773117020080607, 1.7031171662602904, 0.418113853070614, 2.418396459449499, 3.7191059435530054, 3.94398414828202, 2.9725793019095765, 1.156127187777886, 0.994759548659419, 2.857890718531213, 3.8943156114926407, 3.8042260651806137, 2.549695958994758, 0.5843321142496464, 1.5500623458084115, 3.23606797749979, 3.985971436998017, 3.544814316924859, 2.0721080374925203, 0, 2.0721080374925203, 3.5448143169248585, 3.985971436998017, 3.2360679774997894, 1.5500623458084124, 0.5843321142496475, 2.549695958994759, 3.7775054809499244, 3.8943156114926403, 2.8578907185312135, 0.9947595486594196, 1.156127187777886, 2.9725793019095765, 3.9439841482820195, 3.719105943553006, 2.4183964594494993, 0.41811385307061355, 1.7031171662602904, 3.37731170200806, 3.9991227338993816, 3.4641016151377544, 1.9270146964068604, 0.1675026149167988, 2.2828542707377264, 3.654181830570403, 3.9684588052579115, 3.134773829303359, 1.3942881892872603, 0.7495252583428987, 2.738188423714754, 3.8526502671906333, 3.852650267190632, 2.7381884237147545, 0.8316467632710368, 1.394288189287261, 3.1347738293033585, 3.968458805257912, 3.654181830570403, 2.2828542707377264, 0.16750261491679877, 1.9270146964068606, 3.4641016151377553, 3.9991227338993824, 3.3773117020080603, 1.7031171662602897, 0.4181138530706144, 2.4183964594494993, 3.719105943553006, 3.94398414828202, 3.027980222607025, 1.1561271877778863, 0.9947595486594188, 2.857890718531214, 3.894315611492641, 3.804226065180614, 2.549695958994759, 0.5843321142496473, 1.5500623458084106, 3.2360679774997907, 3.9859714369980175, 3.5448143169248585, 2.0721080374925203, 0, 2.0721080374925225, 3.5448143169248594, 3.9859714369980166, 3.23606797749979, 1.5500623458084124, 0.5843321142496455, 2.549695958994759, 3.777505480949925, 3.8943156114926407, 2.8578907185312143, 0.9947595486594186, 1.1561271877778885, 2.9725793019095783, 3.94398414828202, 3.719105943553005, 2.4183964594494993, 0.41811385307061444, 1.7031171662602917, 3.377311702008061, 3.9991227338993824, 3.464101615137755, 1.927014696406862, 0.16750261491679921, 2.2828542707377273}