{"id":14067,"date":"2020-11-19T18:46:28","date_gmt":"2020-11-19T17:46:28","guid":{"rendered":"https:\/\/dam.org\/museum\/?post_type=artists_ui&#038;p=14067"},"modified":"2026-09-05T15:24:00","modified_gmt":"2026-09-05T13:24:00","slug":"half-planes","status":"publish","type":"artists_ui","link":"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/half-planes\/","title":{"rendered":"half planes"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column width=&#8221;2\/3&#8243;]<div class=\"dam-custom-grid dam-custom-grid--cols-3\" style=\"--dam-grid-gap:16px;\"><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, P-522_D. Lasercut steel\/painted. 87 x 111 cm. 1997.\" data-title=\"Manfred Mohr, P-522_D. Lasercut steel\/painted. 87 x 111 cm. 1997.\" data-caption=\"Manfred Mohr, P-522_D. Lasercut steel\/painted. 87 x 111 cm. 1997.\"><img decoding=\"async\" width=\"2000\" height=\"1818\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D.jpg 2000w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D-300x273.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D-1024x931.jpg 1024w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D-768x698.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D-1536x1396.jpg 1536w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D-627x570.jpg 627w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D-500x455.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D-550x500.jpg 550w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_D-400x364.jpg 400w\" sizes=\"auto, (max-width: 2000px) 100vw, 2000px\" \/><\/a><\/figure><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, P-522_H. Lasercut steel\/painted. 130 x 125 cm. 1997.\" data-title=\"Manfred Mohr, P-522_H. Lasercut steel\/painted. 130 x 125 cm. 1997.\" data-caption=\"Manfred Mohr, P-522_H. Lasercut steel\/painted. 130 x 125 cm. 1997.\"><img decoding=\"async\" width=\"2000\" height=\"1335\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H.jpg 2000w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H-300x200.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H-1024x684.jpg 1024w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H-768x513.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H-1536x1025.jpg 1536w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H-854x570.jpg 854w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H-500x334.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H-550x367.jpg 550w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p522_H-400x267.jpg 400w\" sizes=\"auto, (max-width: 2000px) 100vw, 2000px\" \/><\/a><\/figure><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, P-512a_10. Acrylic on canvas\/wood. 50 x 67 cm. 1996.\" data-title=\"Manfred Mohr, P-512a_10. Acrylic on canvas\/wood. 50 x 67 cm. 1996.\" data-caption=\"Manfred Mohr, P-512a_10. Acrylic on canvas\/wood. 50 x 67 cm. 1996.\"><img decoding=\"async\" width=\"2000\" height=\"1333\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10.jpg 2000w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10-300x200.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10-1024x682.jpg 1024w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10-768x512.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10-1536x1024.jpg 1536w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10-855x570.jpg 855w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10-500x333.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10-550x367.jpg 550w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p512_10-400x267.jpg 400w\" sizes=\"auto, (max-width: 2000px) 100vw, 2000px\" \/><\/a><\/figure><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, P-511-K. Acrylic on canvas\/wood. 162 x 80 cm. 1996.\" data-title=\"Manfred Mohr, P-511-K. Acrylic on canvas\/wood. 162 x 80 cm. 1996.\" data-caption=\"Manfred Mohr, P-511-K. Acrylic on canvas\/wood. 162 x 80 cm. 1996.\"><img decoding=\"async\" width=\"1051\" height=\"2000\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k.jpg 1051w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-158x300.jpg 158w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-538x1024.jpg 538w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-768x1461.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-807x1536.jpg 807w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-300x570.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-263x500.jpg 263w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-525x999.jpg 525w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-500x951.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511k-210x400.jpg 210w\" sizes=\"auto, (max-width: 1051px) 100vw, 1051px\" \/><\/a><\/figure><figure class=\"dam-custom-grid__item\"><a href=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d.jpg\" class=\"dam-custom-grid__link\" data-lightbox=\"dam-custom-grid\" title=\"Manfred Mohr, P-511-D. Acrylic on canvas\/wood. 110 x 163 cm. 1995-96.\" data-title=\"Manfred Mohr, P-511-D. Acrylic on canvas\/wood. 110 x 163 cm. 1995-96.\" data-caption=\"Manfred Mohr, P-511-D. Acrylic on canvas\/wood. 110 x 163 cm. 1995-96.\"><img decoding=\"async\" width=\"1400\" height=\"914\" src=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d.jpg\" class=\"dam-custom-grid__image\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d.jpg 1400w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d-300x196.jpg 300w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d-1024x669.jpg 1024w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d-768x501.jpg 768w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d-873x570.jpg 873w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d-500x326.jpg 500w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d-550x359.jpg 550w, https:\/\/dam.org\/museum\/wp-content\/uploads\/2020\/11\/Mohr-p511d-400x261.jpg 400w\" sizes=\"auto, (max-width: 1400px) 100vw, 1400px\" \/><\/a><\/figure><\/div>[\/vc_column][vc_column css_animation=&#8221;fade-up&#8221; width=&#8221;1\/3&#8243; shift_x=&#8221;0&#8243; shift_y=&#8221;0&#8243; z_index=&#8221;0&#8243;][vc_custom_heading text=&#8221;Half Planes (1995-1998)&#8221; use_theme_fonts=&#8221;yes&#8221; css=&#8221;&#8221; font_size=&#8221;16&#8243; text_align=&#8221;left&#8221; font_weight=&#8221;600&#8243;][vc_column_text]This work phase is based on the 6-D hypercube. As indicated for the \u201cLaserglyphs\u201d (1991), this complex structure has 32 diagonals from which 23040 \u201cdiagonal-paths\u201d can be calculated combinatorially. A random selection of two \u201cdiagonal-paths\u201d from this alphabet of signs provides the building blocks for each work. In the grey paintings, the \u201cdiagonal-paths\u201d are represented by thick white lines. The vector pairs which complete the quadrilaterals are represented by thin black lines. The quadrilaterals are colored in grey to create the shape of the painting. In the drawings, the \u201cdiagonal-paths\u201d are represented by thick black lines and the vector pairs are represented by thin black lines. In the metal reliefs, the art-work is composed of 3 bent flat metal strips. The strip representing the contour is painted white, and the 2 strips representing the \u201cdiagonal-paths\u201d are painted grey and black respectively.<br \/>\n[\/vc_column_text][vc_column_text]<strong>More works<\/strong><\/p>\n<p><a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/algorithmic-modulations\/\">algorithmic modulations (2019)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/transit-code\/\">Transit-Code (2017-2018)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/artificiata-ii\/\">Artificiata II (2012-2015)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/parallel-resonance\/\">parallelResonance (2009-2011)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/klangfarben\/\">klangfarben (2006-2007)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/subsets-motion\/\">subsets.motion (2003-2005)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/subsets\/\">subsets (2003-2005)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/space-color-motion\/\">space.color.motion (2002-2004)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/space-color\/\">space.color (1999-2003)<\/a><br \/>\nHalf Planes (1995-1998)<br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/counterpoint\/\">Counterpoint (1993-1995)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/laserglyphs\/\">Laserglyphs (1990-1993)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/line-cluster\/\">Line cluster (1989-1990)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/dimensions-ii\/\">Dimensions II (1986-1989)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/divisibility-ii-iii\/\">Divisibility II + III (1984-1986)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/divisibility-i\/\">Divisibility I (1980-1984)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/dimensions-i\/\">Dimensions I (1977-1979)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/cubic-limit-ii\/\">Cubic limit II (1976-1977)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/cubic-limit-i\/\">Cubic limit I (1973-1976)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/early-algorithms\/\">Early algorithms (1969-1973)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/hard-edge\/\">Hard edge (1966-1969)<\/a><br \/>\n<a class=\"internal-link\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/early-work\/\">Early work (1960-1966)<\/a>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column width=&#8221;2\/3&#8243;][\/vc_column][vc_column css_animation=&#8221;fade-up&#8221; width=&#8221;1\/3&#8243; shift_x=&#8221;0&#8243; shift_y=&#8221;0&#8243; z_index=&#8221;0&#8243;][vc_custom_heading text=&#8221;Half Planes (1995-1998)&#8221; use_theme_fonts=&#8221;yes&#8221; css=&#8221;&#8221; font_size=&#8221;16&#8243; text_align=&#8221;left&#8221; font_weight=&#8221;600&#8243;][vc_column_text]This work phase is based on the 6-D hypercube. As indicated for the \u201cLaserglyphs\u201d (1991), this complex structure has 32 diagonals from which 23040 \u201cdiagonal-paths\u201d can be calculated combinatorially. A random selection of two \u201cdiagonal-paths\u201d from this alphabet of signs provides&#8230;<\/p>\n<p><a rel=\"bookmark\" class=\"kayo-button-simple wvc-button wvc-button-size-xs\" href=\"https:\/\/dam.org\/museum\/artists_ui\/artists\/mohr-manfred\/half-planes\/\"><span>Continue reading<\/span><\/a><\/p>\n","protected":false},"featured_media":14068,"parent":12827,"menu_order":0,"template":"","format":"standard","categories":[],"class_list":["post-14067","artists_ui","type-artists_ui","status-publish","format-standard","has-post-thumbnail","hentry","entry","clearfix","entry-grid","entry-columns-default","entry-artists_ui-module-layout-standard","thumbnail-color-tone-light","entry-artists_ui","entry-artists_ui-grid"],"_links":{"self":[{"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/artists_ui\/14067","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/artists_ui"}],"about":[{"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/types\/artists_ui"}],"up":[{"embeddable":true,"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/artists_ui\/12827"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/media\/14068"}],"wp:attachment":[{"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/media?parent=14067"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dam.org\/museum\/wp-json\/wp\/v2\/categories?post=14067"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}