{"id":5006,"date":"2023-06-23T16:04:58","date_gmt":"2023-06-23T16:04:58","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=5006"},"modified":"2024-10-18T20:56:11","modified_gmt":"2024-10-18T20:56:11","slug":"math-in-visual-art-fresh-take","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/math-in-visual-art-fresh-take\/","title":{"raw":"Math in Visual Art: Fresh Take","rendered":"Math in Visual Art: Fresh Take"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n \t<li>Explain the concept of perspective and its application in art, design, and architecture<\/li>\r\n \t<li>Recognize and understand the fundamental concepts of reflection, rotation, and translation symmetry as they relate to two-dimensional shapes and patterns<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Perspective in Art, Design, and Architecture<\/h2>\r\n<div class=\"textbox shaded\">\r\n\r\n<strong>The Main Idea\u00a0<\/strong>\r\n\r\n<strong>Perspective <\/strong>in visual arts is a technique used to represent three-dimensional objects on a two-dimensional surface in a way that looks natural and realistic. It gives the viewer a sense of depth and distance, mimicking the way our eyes perceive the world around us.\r\n\r\n<strong>Viewpoint<\/strong> in visual arts refers to the position from which an artist observes their subject, directly influencing the composition, detail, and depth of the artwork. Three main types exist: high viewpoint (bird's eye view), low viewpoint (worm's eye view), and eye-level viewpoint, each creating different impressions of the subject. The selected viewpoint significantly impacts the perspective, fundamentally shaping how the viewer perceives the composition.\r\n\r\nThere are three main types: one-point, two-point, and three-point perspective.\r\n<ul>\r\n \t<li style=\"list-style-type: none;\">\r\n<ul>\r\n \t<li><strong>One-point perspective<\/strong> uses a single vanishing point to depict objects receding in the distance, commonly used in road or railroad track drawings.<\/li>\r\n \t<li><strong>Two-point perspective<\/strong> utilizes two vanishing points, often used for rendering buildings or other architectural structures from a corner view.<\/li>\r\n \t<li><strong>Three-point perspective<\/strong> incorporates a third vanishing point, typically above or below the horizon, to represent extreme perspectives like skyscrapers viewed from ground level or landscapes viewed from a high altitude.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\nThe<strong> horizon line<\/strong>, also known as eye level, is a horizontal line that represents the viewer's eye level and separates the ground from the sky. It is a vital tool that artists use to establish perspective and depth in their work.\r\n\r\n<strong>Vanishing points<\/strong> are locations on the horizon line where parallel lines appear to converge in a perspective drawing. These points give the artwork a sense of realism, as they mimic how our eyes perceive distance and depth. Artists often use one, two, or three vanishing points to construct realistic images and control the viewer's perception of space and scale in a composition.\r\n\r\n<\/div>\r\n<section class=\"textbox watchIt\"><iframe src=\"\/\/plugin.3playmedia.com\/show?mf=10356031&amp;p3sdk_version=1.10.1&amp;p=20361&amp;pt=375&amp;video_id=qq8SO9tMI8k&amp;video_target=tpm-plugin-fz2hpfe7-qq8SO9tMI8k\" width=\"800px\" height=\"450px\" frameborder=\"0\" marginwidth=\"0px\" marginheight=\"0px\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Perspective+Drawing+for+Beginners.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cPerspective Drawing for Beginners\u201d here (opens in new window).<\/a><\/p><\/section><section class=\"textbox watchIt\"><iframe src=\"\/\/plugin.3playmedia.com\/show?mf=10356032&amp;p3sdk_version=1.10.1&amp;p=20361&amp;pt=375&amp;video_id=ePv-9mVnTVk&amp;video_target=tpm-plugin-nzjh2fsl-ePv-9mVnTVk\" width=\"800px\" height=\"450px\" frameborder=\"0\" marginwidth=\"0px\" marginheight=\"0px\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/PERSPECTIVE+DRAWING+01+-+THE+BASICS+-+Horizon+Line+Vanishing+Points+12+3.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cPERSPECTIVE DRAWING 01 - THE BASICS - Horizon Line, Vanishing Points 1,2 &amp; 3\u201d here (opens in new window).<\/a><\/p><\/section>\r\n<h2>Symmetry<\/h2>\r\n<div class=\"textbox shaded\">\r\n\r\n<strong>The Main Idea\u00a0<\/strong>\r\n\r\nIn the visual arts, <strong>symmetry <\/strong>is often used to create balance and harmony within a composition. Whether it's in the precise bilateral symmetry of a Renaissance painting or the rotational symmetry found in mandala art, symmetry provides a sense of coherence and aesthetic satisfaction. Some artists intentionally disrupt symmetry to create tension or draw the viewer's eye to a specific part of the artwork.\r\n\r\nThere are three main types of symmetry: reflection (mirror image), rotation (spinning around a central point), and translation (repeated pattern), each providing unique visual effects.\r\n\r\n<\/div>\r\n<section class=\"textbox watchIt\"><iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/MtqtIiJsfiE\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/What+is+Symmetry_+-+Basics+_+Line+of+Symmetry+_+Don't+Memorise.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cWhat is Symmetry? - Basics | Line of Symmetry | Don't Memorise\u201d here (opens in new window).<\/a><\/p><\/section><section class=\"textbox watchIt\"><iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/s4tS-ZmpJfw\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Reflectional+Symmetry+and+Rotational+Symmetry+_+Don't+Memorise.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cReflectional Symmetry and Rotational Symmetry | Don't Memorise\u201d here (opens in new window).<\/a><\/p><\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Explain the concept of perspective and its application in art, design, and architecture<\/li>\n<li>Recognize and understand the fundamental concepts of reflection, rotation, and translation symmetry as they relate to two-dimensional shapes and patterns<\/li>\n<\/ul>\n<\/section>\n<h2>Perspective in Art, Design, and Architecture<\/h2>\n<div class=\"textbox shaded\">\n<p><strong>The Main Idea\u00a0<\/strong><\/p>\n<p><strong>Perspective <\/strong>in visual arts is a technique used to represent three-dimensional objects on a two-dimensional surface in a way that looks natural and realistic. It gives the viewer a sense of depth and distance, mimicking the way our eyes perceive the world around us.<\/p>\n<p><strong>Viewpoint<\/strong> in visual arts refers to the position from which an artist observes their subject, directly influencing the composition, detail, and depth of the artwork. Three main types exist: high viewpoint (bird&#8217;s eye view), low viewpoint (worm&#8217;s eye view), and eye-level viewpoint, each creating different impressions of the subject. The selected viewpoint significantly impacts the perspective, fundamentally shaping how the viewer perceives the composition.<\/p>\n<p>There are three main types: one-point, two-point, and three-point perspective.<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><strong>One-point perspective<\/strong> uses a single vanishing point to depict objects receding in the distance, commonly used in road or railroad track drawings.<\/li>\n<li><strong>Two-point perspective<\/strong> utilizes two vanishing points, often used for rendering buildings or other architectural structures from a corner view.<\/li>\n<li><strong>Three-point perspective<\/strong> incorporates a third vanishing point, typically above or below the horizon, to represent extreme perspectives like skyscrapers viewed from ground level or landscapes viewed from a high altitude.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>The<strong> horizon line<\/strong>, also known as eye level, is a horizontal line that represents the viewer&#8217;s eye level and separates the ground from the sky. It is a vital tool that artists use to establish perspective and depth in their work.<\/p>\n<p><strong>Vanishing points<\/strong> are locations on the horizon line where parallel lines appear to converge in a perspective drawing. These points give the artwork a sense of realism, as they mimic how our eyes perceive distance and depth. Artists often use one, two, or three vanishing points to construct realistic images and control the viewer&#8217;s perception of space and scale in a composition.<\/p>\n<\/div>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" src=\"\/\/plugin.3playmedia.com\/show?mf=10356031&amp;p3sdk_version=1.10.1&amp;p=20361&amp;pt=375&amp;video_id=qq8SO9tMI8k&amp;video_target=tpm-plugin-fz2hpfe7-qq8SO9tMI8k\" width=\"800px\" height=\"450px\" frameborder=\"0\" marginwidth=\"0px\" marginheight=\"0px\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Perspective+Drawing+for+Beginners.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cPerspective Drawing for Beginners\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" src=\"\/\/plugin.3playmedia.com\/show?mf=10356032&amp;p3sdk_version=1.10.1&amp;p=20361&amp;pt=375&amp;video_id=ePv-9mVnTVk&amp;video_target=tpm-plugin-nzjh2fsl-ePv-9mVnTVk\" width=\"800px\" height=\"450px\" frameborder=\"0\" marginwidth=\"0px\" marginheight=\"0px\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/PERSPECTIVE+DRAWING+01+-+THE+BASICS+-+Horizon+Line+Vanishing+Points+12+3.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cPERSPECTIVE DRAWING 01 &#8211; THE BASICS &#8211; Horizon Line, Vanishing Points 1,2 &amp; 3\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n<h2>Symmetry<\/h2>\n<div class=\"textbox shaded\">\n<p><strong>The Main Idea\u00a0<\/strong><\/p>\n<p>In the visual arts, <strong>symmetry <\/strong>is often used to create balance and harmony within a composition. Whether it&#8217;s in the precise bilateral symmetry of a Renaissance painting or the rotational symmetry found in mandala art, symmetry provides a sense of coherence and aesthetic satisfaction. Some artists intentionally disrupt symmetry to create tension or draw the viewer&#8217;s eye to a specific part of the artwork.<\/p>\n<p>There are three main types of symmetry: reflection (mirror image), rotation (spinning around a central point), and translation (repeated pattern), each providing unique visual effects.<\/p>\n<\/div>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/MtqtIiJsfiE\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/What+is+Symmetry_+-+Basics+_+Line+of+Symmetry+_+Don't+Memorise.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cWhat is Symmetry? &#8211; Basics | Line of Symmetry | Don&#8217;t Memorise\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/s4tS-ZmpJfw\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Reflectional+Symmetry+and+Rotational+Symmetry+_+Don't+Memorise.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cReflectional Symmetry and Rotational Symmetry | Don&#8217;t Memorise\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n","protected":false},"author":15,"menu_order":8,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":91,"module-header":"fresh_take","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/5006"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":16,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/5006\/revisions"}],"predecessor-version":[{"id":14712,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/5006\/revisions\/14712"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/91"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/5006\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=5006"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=5006"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=5006"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=5006"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}