{"id":576,"date":"2024-10-25T15:28:33","date_gmt":"2024-10-25T06:28:33","guid":{"rendered":"https:\/\/barbegenerativediary.com\/en\/?p=576"},"modified":"2024-10-25T16:59:52","modified_gmt":"2024-10-25T07:59:52","slug":"lissajous-figures-exploring-patterns-born-of-waves-and-vibrations","status":"publish","type":"post","link":"https:\/\/barbegenerativediary.com\/en\/tutorials\/lissajous-figures-exploring-patterns-born-of-waves-and-vibrations\/","title":{"rendered":"Lissajous Figures\/ Exploring Patterns Born of Waves and Vibrations"},"content":{"rendered":"\n<p>This article delves into the world of Lissajous Figures, exploring their origins, how they\u2019re generated, and their artistic and practical applications.<\/p>\n\n\n\n<p><strong>Sample idea<\/strong><\/p>\n\n\n\n<blockquote class=\"instagram-media\" data-instgrm-permalink=\"https:\/\/www.instagram.com\/p\/DBif92DynlV\/?utm_source=ig_embed&amp;utm_campaign=loading\" data-instgrm-version=\"14\" style=\" background:#FFF; border:0; border-radius:3px; box-shadow:0 0 1px 0 rgba(0,0,0,0.5),0 1px 10px 0 rgba(0,0,0,0.15); margin: 1px; max-width:540px; min-width:326px; padding:0; width:99.375%; width:-webkit-calc(100% - 2px); width:calc(100% - 2px);\"><div style=\"padding:16px;\"> <a href=\"https:\/\/www.instagram.com\/p\/DBif92DynlV\/?utm_source=ig_embed&amp;utm_campaign=loading\" style=\" background:#FFFFFF; line-height:0; padding:0 0; text-align:center; text-decoration:none; width:100%;\" target=\"_blank\" rel=\"noopener\"> <div style=\" display: flex; flex-direction: row; align-items: center;\"> <div style=\"background-color: #F4F4F4; border-radius: 50%; flex-grow: 0; height: 40px; margin-right: 14px; width: 40px;\"><\/div> <div style=\"display: flex; flex-direction: column; flex-grow: 1; justify-content: center;\"> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; margin-bottom: 6px; width: 100px;\"><\/div> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; width: 60px;\"><\/div><\/div><\/div><div style=\"padding: 19% 0;\"><\/div> <div style=\"display:block; height:50px; margin:0 auto 12px; width:50px;\"><svg width=\"50px\" height=\"50px\" viewBox=\"0 0 60 60\" version=\"1.1\" xmlns=\"https:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"https:\/\/www.w3.org\/1999\/xlink\"><g stroke=\"none\" stroke-width=\"1\" fill=\"none\" fill-rule=\"evenodd\"><g transform=\"translate(-511.000000, -20.000000)\" fill=\"#000000\"><g><path d=\"M556.869,30.41 C554.814,30.41 553.148,32.076 553.148,34.131 C553.148,36.186 554.814,37.852 556.869,37.852 C558.924,37.852 560.59,36.186 560.59,34.131 C560.59,32.076 558.924,30.41 556.869,30.41 M541,60.657 C535.114,60.657 530.342,55.887 530.342,50 C530.342,44.114 535.114,39.342 541,39.342 C546.887,39.342 551.658,44.114 551.658,50 C551.658,55.887 546.887,60.657 541,60.657 M541,33.886 C532.1,33.886 524.886,41.1 524.886,50 C524.886,58.899 532.1,66.113 541,66.113 C549.9,66.113 557.115,58.899 557.115,50 C557.115,41.1 549.9,33.886 541,33.886 M565.378,62.101 C565.244,65.022 564.756,66.606 564.346,67.663 C563.803,69.06 563.154,70.057 562.106,71.106 C561.058,72.155 560.06,72.803 558.662,73.347 C557.607,73.757 556.021,74.244 553.102,74.378 C549.944,74.521 548.997,74.552 541,74.552 C533.003,74.552 532.056,74.521 528.898,74.378 C525.979,74.244 524.393,73.757 523.338,73.347 C521.94,72.803 520.942,72.155 519.894,71.106 C518.846,70.057 518.197,69.06 517.654,67.663 C517.244,66.606 516.755,65.022 516.623,62.101 C516.479,58.943 516.448,57.996 516.448,50 C516.448,42.003 516.479,41.056 516.623,37.899 C516.755,34.978 517.244,33.391 517.654,32.338 C518.197,30.938 518.846,29.942 519.894,28.894 C520.942,27.846 521.94,27.196 523.338,26.654 C524.393,26.244 525.979,25.756 528.898,25.623 C532.057,25.479 533.004,25.448 541,25.448 C548.997,25.448 549.943,25.479 553.102,25.623 C556.021,25.756 557.607,26.244 558.662,26.654 C560.06,27.196 561.058,27.846 562.106,28.894 C563.154,29.942 563.803,30.938 564.346,32.338 C564.756,33.391 565.244,34.978 565.378,37.899 C565.522,41.056 565.552,42.003 565.552,50 C565.552,57.996 565.522,58.943 565.378,62.101 M570.82,37.631 C570.674,34.438 570.167,32.258 569.425,30.349 C568.659,28.377 567.633,26.702 565.965,25.035 C564.297,23.368 562.623,22.342 560.652,21.575 C558.743,20.834 556.562,20.326 553.369,20.18 C550.169,20.033 549.148,20 541,20 C532.853,20 531.831,20.033 528.631,20.18 C525.438,20.326 523.257,20.834 521.349,21.575 C519.376,22.342 517.703,23.368 516.035,25.035 C514.368,26.702 513.342,28.377 512.574,30.349 C511.834,32.258 511.326,34.438 511.181,37.631 C511.035,40.831 511,41.851 511,50 C511,58.147 511.035,59.17 511.181,62.369 C511.326,65.562 511.834,67.743 512.574,69.651 C513.342,71.625 514.368,73.296 516.035,74.965 C517.703,76.634 519.376,77.658 521.349,78.425 C523.257,79.167 525.438,79.673 528.631,79.82 C531.831,79.965 532.853,80.001 541,80.001 C549.148,80.001 550.169,79.965 553.369,79.82 C556.562,79.673 558.743,79.167 560.652,78.425 C562.623,77.658 564.297,76.634 565.965,74.965 C567.633,73.296 568.659,71.625 569.425,69.651 C570.167,67.743 570.674,65.562 570.82,62.369 C570.966,59.17 571,58.147 571,50 C571,41.851 570.966,40.831 570.82,37.631\"><\/path><\/g><\/g><\/g><\/svg><\/div><div style=\"padding-top: 8px;\"> <div style=\" color:#3897f0; font-family:Arial,sans-serif; font-size:14px; font-style:normal; font-weight:550; line-height:18px;\">View this post on Instagram<\/div><\/div><div style=\"padding: 12.5% 0;\"><\/div> <div style=\"display: flex; flex-direction: row; margin-bottom: 14px; align-items: center;\"><div> <div style=\"background-color: #F4F4F4; border-radius: 50%; height: 12.5px; width: 12.5px; transform: translateX(0px) translateY(7px);\"><\/div> <div style=\"background-color: #F4F4F4; height: 12.5px; transform: rotate(-45deg) translateX(3px) translateY(1px); width: 12.5px; flex-grow: 0; margin-right: 14px; margin-left: 2px;\"><\/div> <div style=\"background-color: #F4F4F4; border-radius: 50%; height: 12.5px; width: 12.5px; transform: translateX(9px) translateY(-18px);\"><\/div><\/div><div style=\"margin-left: 8px;\"> <div style=\" background-color: #F4F4F4; border-radius: 50%; flex-grow: 0; height: 20px; width: 20px;\"><\/div> <div style=\" width: 0; height: 0; border-top: 2px solid transparent; border-left: 6px solid #f4f4f4; border-bottom: 2px solid transparent; transform: translateX(16px) translateY(-4px) rotate(30deg)\"><\/div><\/div><div style=\"margin-left: auto;\"> <div style=\" width: 0px; border-top: 8px solid #F4F4F4; border-right: 8px solid transparent; transform: translateY(16px);\"><\/div> <div style=\" background-color: #F4F4F4; flex-grow: 0; height: 12px; width: 16px; transform: translateY(-4px);\"><\/div> <div style=\" width: 0; height: 0; border-top: 8px solid #F4F4F4; border-left: 8px solid transparent; transform: translateY(-4px) translateX(8px);\"><\/div><\/div><\/div> <div style=\"display: flex; flex-direction: column; flex-grow: 1; justify-content: center; margin-bottom: 24px;\"> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; margin-bottom: 6px; width: 224px;\"><\/div> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; width: 144px;\"><\/div><\/div><\/a><p style=\" color:#c9c8cd; font-family:Arial,sans-serif; font-size:14px; line-height:17px; margin-bottom:0; margin-top:8px; overflow:hidden; padding:8px 0 7px; text-align:center; text-overflow:ellipsis; white-space:nowrap;\"><a href=\"https:\/\/www.instagram.com\/p\/DBif92DynlV\/?utm_source=ig_embed&amp;utm_campaign=loading\" style=\" color:#c9c8cd; font-family:Arial,sans-serif; font-size:14px; font-style:normal; font-weight:normal; line-height:17px; text-decoration:none;\" target=\"_blank\" rel=\"noopener\">A post shared by bgd peco (@barbe_generative_diary)<\/a><\/p><\/div><\/blockquote>\n<script async src=\"\/\/www.instagram.com\/embed.js\"><\/script>\n\n\n\n<p><strong>Index<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong><a href=\"#LissajousFigures-ExploringPatterns-01\" title=\"\">What is a Lissajous Figure?<\/a><\/strong><\/li>\n\n\n\n<li><strong><a href=\"#LissajousFigures-ExploringPatterns-02\" title=\"\">How to Generate Lissajous Figures<\/a><\/strong><br>2.1 <a href=\"#LissajousFigures-ExploringPatterns-02-1\" title=\"\">Generating with Processing: Code and Demonstration<\/a><\/li>\n\n\n\n<li><strong><a href=\"#LissajousFigures-ExploringPatterns-03\" title=\"\">Applications of Lissajous Figures<\/a><\/strong><br>3.1 Oscilloscope Music<br>3.2 Vibration Analysis<br>3.3 Art and Design<\/li>\n\n\n\n<li><strong><a href=\"#LissajousFigures-ExploringPatterns-04\" title=\"\">The Beauty and Potential of Lissajous Figures<\/a><\/strong><\/li>\n\n\n\n<li><strong><a href=\"#LissajousFigures-ExploringPatterns-05\" title=\"\">Conclusion<\/a><\/strong><\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"LissajousFigures-ExploringPatterns-01\">1. What is a Lissajous Figure?<\/h2>\n\n\n\n<p>A Lissajous figure appears when two simple sine waves of different frequencies intersect perpendicularly on the X- and Y-axes. Named after the French physicist Jules Antoine Lissajous, these figures showcase intricate forms influenced by just two parameters: the frequency ratio and phase difference of the intersecting waves.<\/p>\n\n\n\n<p>The shape of a Lissajous figure is defined by:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Frequency Ratio<\/strong>: Variations in the frequency ratio between the X- and Y-axis waves change the figure\u2019s overall shape.<\/li>\n\n\n\n<li><strong>Phase Difference<\/strong>: Adjusting the phase difference between the two waves affects the symmetry and complexity of the pattern.<\/li>\n<\/ul>\n\n\n\n<p>In mathematical terms, the X-axis waveform is expressed as &nbsp;<strong>x(t) = A * sin(a * t)<\/strong> and the Y-axis as <strong>y(t) = B * sin(b * t + \u03b4)<\/strong>, where A and B are amplitudes, a and b are frequencies, and \u03b4 is the phase difference.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"LissajousFigures-ExploringPatterns-02\">2. How to Generate Lissajous Figures<\/h2>\n\n\n\n<p>Lissajous figures can be generated using oscilloscopes or programming. On an oscilloscope, they appear when different frequency sine waves are input on the X- and Y-axes. In programming environments like Processing or Python, these figures are produced by simulating waveforms mathematically.<\/p>\n\n\n\n<p>Here\u2019s a simple approach to creating Lissajous figures:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Set Frequencies<\/strong>: Assign different frequencies to the X- and Y-axes.<\/li>\n\n\n\n<li><strong>Adjust Phase Difference<\/strong>: Change the phase difference to vary the pattern, from simple ellipses to intricate designs.<\/li>\n\n\n\n<li><strong>Observe the Pattern<\/strong>: Use an oscilloscope or program to appreciate the evolving beauty of Lissajous figures.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"LissajousFigures-ExploringPatterns-02-2\"><strong>Generating with Processing: Code and Demonstration<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"1024\" height=\"576\" data-src=\"https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/10\/241023-Lissahous-1.webp\" alt=\"\" class=\"wp-image-580 lazyload\" data-srcset=\"https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/10\/241023-Lissahous-1.webp 1024w, https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/10\/241023-Lissahous-1-300x169.webp 300w, https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/10\/241023-Lissahous-1-768x432.webp 768w\" data-sizes=\"(max-width: 1024px) 100vw, 1024px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1024px; --smush-placeholder-aspect-ratio: 1024\/576;\" \/><\/figure>\n\n\n\n<pre><code class=\"language-processing\">\nfloat phase = 0;\nint pointCount = 100;\nfloat angle;\n\nint freqX = 3;\n\/\/float modFreqX = 1;\nint freqY = 2;\n\/\/float modFreqY = 1;\n\nfloat phaX = 0;\nfloat phaY = 45;\n\nfloat x,y; \n\nfloat factorX, factorY;\nint margin = 200;\n\nvoid setup(){\n  size(800,800, P2D);\n  background(0);\n  windowMove(100,0);\n  smooth();\n\n  factorX = width\/2-margin;\n  factorY = height\/2-margin;\n\n}\n\nvoid draw(){\n  background(0);\n  \/\/fill(0,50);  \n  \/\/noStroke();\n  \/\/rect(0,0,width,height);\n  \n  translate(width\/2, height\/2);\n\n  noFill();\n  stroke(255);\n  strokeWeight(1);\n  \n  beginShape();\n  for(int i=0; i<=pointCount; i++){\n    angle = map(i, 0,pointCount, 0,TWO_PI);\n    \n    x = sin(freqX * angle + radians(phaX));\n    \/\/float carrierX = sin(angle * modFreqX);\n    \/\/x = x*carrierX;\n    \n    y = sin(freqY * angle + radians(phaY)+frameCount*0.01);\n    \/\/float carrierY = cos(angle * modFreqY);\n    \/\/y = y*carrierY;\n    \n    x = x * factorX;\n    y = y * factorY;\n    \n    vertex(x, y);\n    \n  }\n  endShape();\n}\n<\/code><\/pre>\n\n\n\n<p>With Processing, you can create interactive Lissajous figures by adjusting frequency (freqX and freqY) and phase (phaX and phaY) values. For example, by gradually shifting the Y-axis phase with \"frameCount\", you can produce animated Lissajous patterns.<\/p>\n\n\n\n<p>Here's how the original formula translates into Processing code:<\/p>\n\n\n\n<p>x = sin(freqX * angle + radians(phaX));<br>y = sin(freqY * angle + radians(phaY));<\/p>\n\n\n\n<p>The final amplitude is scaled by <strong>factorX<\/strong> and <strong>factorY<\/strong> for each axis, enhancing the visual effect.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"LissajousFigures-ExploringPatterns-03\">3. Applications of Lissajous Figures<\/h2>\n\n\n\n<p>Lissajous figures are widely used in science, engineering, music, and visual arts. Here are a few notable applications:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.1 Oscilloscope Music<\/h3>\n\n\n\n<p>Lissajous figures can visually represent music waveforms. In electronic music, adjusting frequency and phase can synchronize the music with the visual pattern, creating a dynamic, sensory experience.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.2 Vibration Analysis<\/h3>\n\n\n\n<p>In engineering, Lissajous figures help analyze vibrations. Observing different vibration modes through these figures can reveal equipment malfunctions or irregularities.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.3 Art and Design<\/h3>\n\n\n\n<p>Known for their geometric beauty, Lissajous figures have found a place in art and design. They\u2019re especially popular in digital art, where they create captivating, animated visuals that merge scientific precision with aesthetic appeal.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"LissajousFigures-ExploringPatterns-04\">4. The Beauty and Potential of Lissajous Figures<\/h2>\n\n\n\n<p>Lissajous figures are mesmerizing in their simplicity. By combining different frequencies and phases, one can create infinite variations, each with unique forms and symmetries. Beyond their use in visualizing sound and vibration, they inspire interactive art and installations, bridging the worlds of science and creativity.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"1024\" height=\"576\" data-src=\"https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/10\/241023-Lissahous-2.webp\" alt=\"\" class=\"wp-image-581 lazyload\" data-srcset=\"https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/10\/241023-Lissahous-2.webp 1024w, https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/10\/241023-Lissahous-2-300x169.webp 300w, https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/10\/241023-Lissahous-2-768x432.webp 768w\" data-sizes=\"(max-width: 1024px) 100vw, 1024px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1024px; --smush-placeholder-aspect-ratio: 1024\/576;\" \/><\/figure>\n\n\n\n<pre><code class=\"language-processing\">\nfloat phase = 0;\nint pointCount = 100;\nfloat angle;\n\nint freqX = 1;\n\/\/float modFreqX = 1;\nint freqY = 1;\n\/\/float modFreqY = 1;\n\nfloat phaX = 0;\nfloat phaY = 0;\n\nfloat x,y; \nfloat factorX, factorY;\nint margin = 100;\n\nvoid setup(){\n  size(800,800, P2D);\n  background(0);\n  windowMove(100,0);\n  smooth();\n\n  factorX = width\/32;\n  factorY = height\/32;\n}\n\nvoid draw(){\n  background(0);\n  \/\/fill(0,50);  \n  \/\/noStroke();\n  \/\/rect(0,0,width,height);\n  \n  noFill();\n  stroke(255);\n  strokeWeight(1);\n  for(int j=0; j<7; j++){\n    for(int k=0; k<7; k++){\n      beginShape();\n      for(int i=0; i<=pointCount; i++){\n        angle = map(i, 0,pointCount, 0,TWO_PI);\n        \n        x = sin((freqX+j) * angle + radians(phaX));\n        \/\/float carrierX = sin(angle * modFreqX);\n        \/\/x = x*carrierX;\n        \n        y = sin((freqY+k) * angle + radians(phaY+k*15)+frameCount*0.01);\n        \/\/float carrierY = cos(angle * modFreqY);\n        \/\/y = y*carrierY;\n        \n        x = x * factorX+margin*k+width\/8;\n        y = y * factorY+margin*j+height\/8;\n        \n        vertex(x, y); \n        \n      }\n      endShape();\n    }\n  }\n}\n\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"LissajousFigures-ExploringPatterns-05\">Conclusion<\/h2>\n\n\n\n<p>Lissajous figures are a unique blend of science and art, transforming simple sine waves into complex geometric patterns. By experimenting with frequency and phase, we can explore both the physics of waveforms and the limitless possibilities of creative expression.<\/p>\n\n\n\n<p>If you\u2019ve never tried generating Lissajous figures, consider experimenting with an oscilloscope or a programming tool like Processing. You might just uncover a new passion in this fascinating visual world!<\/p>\n\n\n\n<p><strong>Recommended Tools and Resources<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Processing<\/strong>: Ideal for beginners in visual programming, this open-source software is excellent for creating Lissajous figures.<\/li>\n\n\n\n<li><strong>Python + Matplotlib<\/strong>: For those with programming experience, Python offers a powerful way to generate Lissajous figures.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Recommended Book<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"1024\" height=\"576\" data-src=\"https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2023\/09\/GenerativeDesign.webp\" alt=\"\" class=\"wp-image-328 lazyload\" data-srcset=\"https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2023\/09\/GenerativeDesign.webp 1024w, https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2023\/09\/GenerativeDesign-300x169.webp 300w, https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2023\/09\/GenerativeDesign-768x432.webp 768w\" data-sizes=\"(max-width: 1024px) 100vw, 1024px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1024px; --smush-placeholder-aspect-ratio: 1024\/576;\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><a href=\"https:\/\/amzn.to\/48Cmn6N\" target=\"_blank\" rel=\"noopener\" title=\"\">Generative Design: Visualize, Program, and Create with Processing<\/a><br>-Harmut Bohnacker, Benedikt Gro\u00df, Julia Laub<\/h3>\n\n\n\n<p>This book includes methods for creating Lissajous figures, along with various visual projects using Processing. It\u2019s a great resource for exploring visual programming.<\/p>\n\n\n\n<p>&nbsp;<strong><a href=\"https:\/\/amzn.to\/3OWB9x9\" target=\"_blank\" rel=\"noreferrer noopener\">Generative Design: Visualize, Program, and Create with Processing<\/a><\/strong><br>\uff08Harmut Bohnacker, Benedikt Gro\u00df, Julia Laub\uff09<br>Publication date\uff0f August 22, 2012<br>Print length\uff0f472 pages<br>Publisher\uff0fPrinceton Architectural Press<br>Language\uff0fEnglish<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"BGD_SOUNDS\">BGD_SOUNDS (barbe_generative_diary SOUNDS)<\/h2>\n\n\n\n<p>barbe_generative_diary SOUNDS will start sharing and selling a variety of field recordings collected for use in my artwork \u201cSound Visualization\u201d experiments. All sounds are royalty-free.<\/p>\n\n\n\n<p><a href=\"https:\/\/barbegenerativediary.bandcamp.com\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Link \/ BGD_SOUNDS on bandcamp<\/strong><\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"1024\" height=\"731\" data-src=\"https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/07\/240801_bandcamp-top-BGD_SOUNDS.webp\" alt=\"\" class=\"wp-image-554 lazyload\" data-srcset=\"https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/07\/240801_bandcamp-top-BGD_SOUNDS.webp 1024w, https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/07\/240801_bandcamp-top-BGD_SOUNDS-300x214.webp 300w, https:\/\/barbegenerativediary.com\/en\/wp-content\/uploads\/2024\/07\/240801_bandcamp-top-BGD_SOUNDS-768x548.webp 768w\" data-sizes=\"(max-width: 1024px) 100vw, 1024px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1024px; --smush-placeholder-aspect-ratio: 1024\/731;\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>For anyone captivated by waveforms or vibrations, the term \u201cLissajous Figures\u201d might already sound familiar. These beautiful, interwoven patterns are formed by two simple waves and can be seen in scientific experiments, art installations, and beyond. <\/p>\n","protected":false},"author":1,"featured_media":582,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15,13],"tags":[],"class_list":["post-576","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-processing-tutorials","category-tutorials"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/posts\/576","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/comments?post=576"}],"version-history":[{"count":9,"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/posts\/576\/revisions"}],"predecessor-version":[{"id":589,"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/posts\/576\/revisions\/589"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/media\/582"}],"wp:attachment":[{"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/media?parent=576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/categories?post=576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/barbegenerativediary.com\/en\/wp-json\/wp\/v2\/tags?post=576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}