{"id":769,"date":"2026-01-18T21:48:15","date_gmt":"2026-01-18T21:48:15","guid":{"rendered":"https:\/\/randydunham.com\/store\/?post_type=product&#038;p=769"},"modified":"2026-01-29T15:49:33","modified_gmt":"2026-01-29T15:49:33","slug":"euclid-elements-book-1-proposition-1","status":"publish","type":"product","link":"https:\/\/randydunham.com\/store\/product\/euclid-elements-book-1-proposition-1\/","title":{"rendered":"Euclid Elements&#8217; Book 1: Proposition 1"},"content":{"rendered":"<p data-start=\"333\" data-end=\"729\"><em data-start=\"333\" data-end=\"373\">Euclid Elements\u2019 Book I: Proposition I<\/em> reinterprets the foundational geometric construction that opens Euclid\u2019s <em data-start=\"447\" data-end=\"457\">Elements<\/em>, translating an abstract proof into a spatial and visual experience. Rather than illustrating the proposition literally, the work explores its underlying principles\u2014balance, equivalence, and emergence\u2014through layered forms, intersecting spheres, and fractured landscapes.<\/p>\n<p data-start=\"731\" data-end=\"1065\">The composition reflects the act of construction itself: forms overlap, boundaries dissolve, and geometric certainty gives rise to transformation. The intersecting spheres echo the original dual-circle construction, while shifts in color and terrain suggest the tension between ideal mathematical order and the evolving natural world.<\/p>\n<p data-start=\"1067\" data-end=\"1309\">By merging classical geometry with contemporary abstraction, the painting invites viewers to consider mathematics not as static knowledge, but as a living structure\u2014one that continues to shape perception, space, and understanding across time.<\/p>\n","protected":false},"excerpt":{"rendered":"<p><em data-start=\"119\" data-end=\"144\">Acrylic on canvas, 2025<\/em><br data-start=\"144\" data-end=\"147\" \/><em data-start=\"147\" data-end=\"172\">24 \u00d7 30 in (61 \u00d7 76 cm)<\/em><\/p>\n<p>An original painting visualizing Euclid\u2019s first proposition through geometric construction and spatial balance.<\/p>\n","protected":false},"featured_media":756,"comment_status":"closed","ping_status":"closed","template":"","meta":{"nf_dc_page":""},"product_brand":[],"product_cat":[19],"product_tag":[],"class_list":["post-769","product","type-product","status-publish","has-post-thumbnail","product_cat-original-paintings","first","instock","shipping-taxable","product-type-simple"],"_links":{"self":[{"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/product\/769","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/comments?post=769"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/media\/756"}],"wp:attachment":[{"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/media?parent=769"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/product_brand?post=769"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/product_cat?post=769"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/randydunham.com\/store\/wp-json\/wp\/v2\/product_tag?post=769"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}