{"id":6390,"date":"2024-02-07T18:07:05","date_gmt":"2024-02-07T23:07:05","guid":{"rendered":"https:\/\/pugix.com\/synth\/?p=6390"},"modified":"2024-02-07T18:07:07","modified_gmt":"2024-02-07T23:07:07","slug":"double-tetrahedron","status":"publish","type":"post","link":"https:\/\/pugix.com\/synth\/double-tetrahedron\/","title":{"rendered":"Double Tetrahedron"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"592\" data-attachment-id=\"6391\" data-permalink=\"https:\/\/pugix.com\/synth\/double-tetrahedron\/hypercube\/\" data-orig-file=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?fit=640%2C592&amp;ssl=1\" data-orig-size=\"640,592\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;1.8&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;iPhone XR&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1707324231&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;4.25&quot;,&quot;iso&quot;:&quot;400&quot;,&quot;shutter_speed&quot;:&quot;0.017857142857143&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"HyperCube\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?fit=640%2C592&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?resize=640%2C592&#038;ssl=1\" alt=\"\" class=\"wp-image-6391\" srcset=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?w=640&amp;ssl=1 640w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?resize=500%2C463&amp;ssl=1 500w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?resize=220%2C204&amp;ssl=1 220w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?resize=250%2C231&amp;ssl=1 250w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?resize=355%2C328&amp;ssl=1 355w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/HyperCube.jpeg?resize=90%2C83&amp;ssl=1 90w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><figcaption class=\"wp-element-caption\">A hypercube sculpture<\/figcaption><\/figure>\n\n\n\n<p>A glance at this hypercube gave me a vision of a hyper-tetrahedron.  There is such a thing, but it wasn&#8217;t what I imagined.  So I call this a Double Tetrahedron.  I pictured a tetrahedron, a 3D object, projected onto a flat surface.  By mentally grabbing an apex I saw it could be dragged into a parallelogram shape.  Then I pictured two of those in 3D, one positioned over the other.  Then I connected each of the four apexes of the top one to the bottom one.  It took a few pencil sketches to clarify.<\/p>\n\n\n\n<p>I saw that each apex plus connecting edge made four edges out of each apex.  Now I placed a Quantussy Cell at each node. Since a Quantussy Cell has two inputs and two outputs, all I had to do was figure out how to connect them, so as to make a modular patch.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"480\" data-attachment-id=\"6396\" data-permalink=\"https:\/\/pugix.com\/synth\/double-tetrahedron\/double-tetrahedron-patch\/\" data-orig-file=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?fit=640%2C480&amp;ssl=1\" data-orig-size=\"640,480\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;1.8&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;iPhone XR&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1707323609&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;4.25&quot;,&quot;iso&quot;:&quot;320&quot;,&quot;shutter_speed&quot;:&quot;0.016666666666667&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Double-Tetrahedron-Patch\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?fit=640%2C480&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?resize=640%2C480&#038;ssl=1\" alt=\"\" class=\"wp-image-6396\" srcset=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?w=640&amp;ssl=1 640w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?resize=500%2C375&amp;ssl=1 500w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?resize=220%2C165&amp;ssl=1 220w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?resize=250%2C188&amp;ssl=1 250w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?resize=355%2C266&amp;ssl=1 355w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-Patch.jpeg?resize=90%2C68&amp;ssl=1 90w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><figcaption class=\"wp-element-caption\">Double Tetrahedron Patch<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/double-tetrahedron-two-voices.mp3\"><\/audio><figcaption class=\"wp-element-caption\">Double Tetrahedron with two stereo voices<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/double-tetrahedron-voice-one.mp3\"><\/audio><figcaption class=\"wp-element-caption\">First stereo voice alone<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/double-tetrahedron-voice-two.mp3\"><\/audio><figcaption class=\"wp-element-caption\">Second stereo voice alone<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/evWNxS36Itc?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-US&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><figcaption class=\"wp-element-caption\">Video is a different recording than the MP3s.<\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Details of the geometry<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"1024\" data-attachment-id=\"6394\" data-permalink=\"https:\/\/pugix.com\/synth\/double-tetrahedron\/quantussy-cell-block-diagram-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?fit=2001%2C2560&amp;ssl=1\" data-orig-size=\"2001,2560\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Quantussy-Cell-Block-Diagram\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?fit=800%2C1024&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram.jpeg?resize=800%2C1024&#038;ssl=1\" alt=\"\" class=\"wp-image-6394\" srcset=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=800%2C1024&amp;ssl=1 800w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=500%2C640&amp;ssl=1 500w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=768%2C983&amp;ssl=1 768w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=1200%2C1536&amp;ssl=1 1200w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=1600%2C2048&amp;ssl=1 1600w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=220%2C282&amp;ssl=1 220w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=250%2C320&amp;ssl=1 250w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=355%2C454&amp;ssl=1 355w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=730%2C934&amp;ssl=1 730w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?resize=90%2C115&amp;ssl=1 90w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Quantussy-Cell-Block-Diagram-scaled.jpeg?w=2001&amp;ssl=1 2001w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><figcaption class=\"wp-element-caption\"><strong>Quantussy Cell<\/strong><\/figcaption><\/figure>\n\n\n\n<p>Above I have replicated the block diagram of a <a href=\"https:\/\/pugix.com\/synth\/eurorack-quantussy-cells\/\" target=\"_blank\" rel=\"noreferrer noopener\">Quantussy Cell<\/a>.  It outputs a triangle, sine, or ramp wave at the Green terminal and a Sample &amp; Hold output at the Red terminal.  Gray is the input to the S&amp;H that comes out at the Red.  Violet goes into a second S&amp;H that is used internally to control the speed of the LFO.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"707\" height=\"1024\" data-attachment-id=\"6400\" data-permalink=\"https:\/\/pugix.com\/synth\/double-tetrahedron\/double-tetrahedron\/\" data-orig-file=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?fit=1767%2C2560&amp;ssl=1\" data-orig-size=\"1767,2560\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Double-Tetrahedron\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?fit=707%2C1024&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron.jpeg?resize=707%2C1024&#038;ssl=1\" alt=\"\" class=\"wp-image-6400\" srcset=\"https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=707%2C1024&amp;ssl=1 707w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=500%2C724&amp;ssl=1 500w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=768%2C1113&amp;ssl=1 768w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=1060%2C1536&amp;ssl=1 1060w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=1414%2C2048&amp;ssl=1 1414w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=220%2C319&amp;ssl=1 220w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=250%2C362&amp;ssl=1 250w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=355%2C514&amp;ssl=1 355w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=730%2C1057&amp;ssl=1 730w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?resize=90%2C130&amp;ssl=1 90w, https:\/\/i0.wp.com\/pugix.com\/synth\/wp-content\/uploads\/2024\/02\/Double-Tetrahedron-scaled.jpeg?w=1767&amp;ssl=1 1767w\" sizes=\"auto, (max-width: 707px) 100vw, 707px\" \/><figcaption class=\"wp-element-caption\"><strong>Eight Quantussy Cells<\/strong><\/figcaption><\/figure>\n\n\n\n<p>The diagram shows how the eight cells are interconnected. My strategy was to have the Red to Violet paths form a complete cycle around all eight and likewise for the Green to Gray (dotted lines).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Implementation<\/h3>\n\n\n\n<p>Four of the cells were made with a Tromso + half of a Frogleg Synthesis Dual S&amp;H.  The other four were each made of one Xaoc Batumi LFO + a 2hp S&amp;H.<\/p>\n\n\n\n<p>For the audio, the first stereo voice takes two sine waves from Cubusynth Engine through Patching Panda Punch V3 and then through a tanh[3] channel and then through Non-Linear Memory Machine.  The second stereo voice uses the Dannysound oscillators, Cu-Bit Cascades, and Qu-Bit Aurora.  Lots of CV taken from the Quantussy Cell arrangement was used for modulation.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A glance at this hypercube gave me a vision of a hyper-tetrahedron. There is such a thing, but it wasn&#8217;t what I imagined. So I call this a Double Tetrahedron. &#8230; <a class=\"styledbutton\" href=\"https:\/\/pugix.com\/synth\/double-tetrahedron\/\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":6396,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[76],"tags":[189,159,180],"class_list":["post-6390","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-new-music","tag-automatic-music","tag-eurorack","tag-quantussy"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Double Tetrahedron - Richard Brewster&#039;s Electronic Sounds<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/pugix.com\/synth\/double-tetrahedron\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Double Tetrahedron - Richard Brewster&#039;s Electronic Sounds\" \/>\n<meta property=\"og:description\" content=\"A glance at this hypercube gave me a vision of a hyper-tetrahedron. There is such a thing, but it wasn&#8217;t what I imagined. So I call this a Double Tetrahedron. ... 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