{"id":407,"date":"2018-06-08T13:46:13","date_gmt":"2018-06-08T13:46:13","guid":{"rendered":"https:\/\/conceptual-joining.com\/?post_type=jetpack-portfolio&p=407"},"modified":"2018-06-08T14:01:45","modified_gmt":"2018-06-08T14:01:45","slug":"branch-formations-abstraction-principles-and-control-geometry","status":"publish","type":"jetpack-portfolio","link":"https:\/\/conceptual-joining.com\/?portfolio=branch-formations-abstraction-principles-and-control-geometry","title":{"rendered":"Branch Formations – Abstraction Principles and Control Geometry"},"content":{"rendered":"

\"\"A given set of forked branches is 3D scanned and the digitized data simplified into approximated axis models. Each branch can be represented by 4 points and 3 lines. The node-element represented in modules with three line segments is used as a \u2018Y\u2019 – typology.<\/i><\/p>\n

Eventually the axis models serve as reference geometry to eventually reposition the original scan models into the assembled configuration and thus allow for designing specific joints and modification of the physical parts further along in the process of our research.<\/p>\n

\"\"There are different possible approximations\/translations of branch nodes into Y-models:<\/p>\n

a) Nodes with variable branch lengths. Each branch is approximated as one axis line.<\/p>\n

b) Nodes with branches in varying length. End segments are approximated as an axis lines, interpolated within branch node.<\/p>\n

c) An inscribed circle around the center point trims branches to same lengths. Branches are represented as approximated axis lines.\u00a0<\/span><\/p>\n

The axes in version c) are nearly planar, whereas version a) and b) mostly result in 3 dimensional models.<\/p>\n

All of these approximations result in similar simplified digital typology and are conceptually interchangeable in the digital assembly model. But the difference in their relationship to the respective physical origin offers different options of a physical translation of the digital assembly in the subsequent steps.<\/p>\n","protected":false},"excerpt":{"rendered":"

A given set of forked branches is 3D scanned and the digitized data simplified into approximated axis models. Each branch can be represented by 4 points and 3 lines. The node-element represented in modules with three line segments is used as a \u2018Y\u2019 – typology.<\/p>\n","protected":false},"author":3,"featured_media":415,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":{"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}},"tags":[],"jetpack-portfolio-type":[8],"jetpack-portfolio-tag":[21],"class_list":["post-407","jetpack-portfolio","type-jetpack-portfolio","status-publish","format-standard","has-post-thumbnail","hentry","jetpack-portfolio-type-branch-formations","jetpack-portfolio-tag-branch-formations"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":427,"url":"https:\/\/conceptual-joining.com\/?portfolio=branch-formations-repetitive-patterns","url_meta":{"origin":407,"position":0},"title":"Branch Formations – tetrahedron framework","author":"Lukas Allner","date":"June 13, 2018","format":false,"excerpt":"Aggregations of branch elements into repetitive spatial frameworks was\u00a0our starting point working with formations of branches. We learned that 2- and 3- dimensional cells can be formed using the branches as edges, which allows us to compose potentially endless spatial formations. The\u00a0tetrahedron\u00a0is the platonic solid with the least amount of\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/conceptual-joining.com\/wp-content\/uploads\/2018\/06\/feature-1.jpg?fit=446%2C333&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":830,"url":"https:\/\/conceptual-joining.com\/?portfolio=branch-formations-surface-studies","url_meta":{"origin":407,"position":1},"title":"Branch Formations – surface studies","author":"Lukas Allner","date":"May 7, 2019","format":false,"excerpt":"Exploring possible complementary architectural elements articulating the inbetween spaces defined by branch frameworks axis of a tetrahedral framework used as guide geometry for surfaces","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/conceptual-joining.com\/wp-content\/uploads\/2019\/05\/feature.png?fit=446%2C333&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":800,"url":"https:\/\/conceptual-joining.com\/?portfolio=branch-formations-control-geometry","url_meta":{"origin":407,"position":2},"title":"Branch Formations – Control Geometry","author":"Daniela Kr\u00f6hnert","date":"April 25, 2019","format":false,"excerpt":"Since our last post about the abstraction principles and control geometry we have adapted the system and also automated several processes. after 3d-scanning the individual meshes are loaded automatically into Rhino and a grasshopper definition is generating the color coded centerlines and cross sections at each branch-arm end and orients\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/conceptual-joining.com\/wp-content\/uploads\/2019\/04\/centerline_feature_.jpg?fit=446%2C333&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":554,"url":"https:\/\/conceptual-joining.com\/?portfolio=branch-formations-prototype-01","url_meta":{"origin":407,"position":3},"title":"Branch Formations – prototype 01","author":"Lukas Allner","date":"February 19, 2019","format":false,"excerpt":"fabrication of a first ptototype of a tetrahedral cell formed by branches of hornbeam 3D scanned branches are assembled in a digital model. The complex mesh geometries are rebuilt into simplified forms smoothing out details such as bumps and small side branches. varying cross sections of connected parts are levelled\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/conceptual-joining.com\/wp-content\/uploads\/2019\/02\/feature_DSC01074.png?fit=446%2C333&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":671,"url":"https:\/\/conceptual-joining.com\/?portfolio=branch-formations-branch-scanning","url_meta":{"origin":407,"position":4},"title":"Branch Formations – Branch 3D-Scanning","author":"Daniela Kr\u00f6hnert","date":"March 6, 2019","format":false,"excerpt":"last week we harvested a new set of beechwood branches from the forests of Sandra Tuider in lower Austria. Daniela Kr\u00f6hnert (left) and Lukas Allner (right) Sandra Tuider, Lukas Allner and Christoph Kaltenbrunner (left to right) half of the harvest back at the University flush-cutting of the individual branch-arms in\u2026","rel":"","context":"In \"3D-scanning\"","block_context":{"text":"3D-scanning","link":"https:\/\/conceptual-joining.com\/?tag=3d-scanning"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/conceptual-joining.com\/wp-content\/uploads\/2019\/03\/feature_scanning.jpg?fit=446%2C333&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":67,"url":"https:\/\/conceptual-joining.com\/?portfolio=branch-formations-intro","url_meta":{"origin":407,"position":5},"title":"Branch Formations – Intro","author":"Daniela Kr\u00f6hnert","date":"March 27, 2018","format":false,"excerpt":"In a series of studies we create a digitized catalogue of naturally grown branch nodes that are used as components for the design of spatial frameworks. The emerging configurations utilize the tectonics of fiber patterns as a generative parameter for constructs with continuous grain. The resulting formations are tested with\u2026","rel":"","context":"In \"branches\"","block_context":{"text":"branches","link":"https:\/\/conceptual-joining.com\/?tag=branches"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/conceptual-joining.com\/wp-content\/uploads\/2018\/04\/branch_formations_feature.jpg?fit=446%2C333&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]}],"_links":{"self":[{"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=\/wp\/v2\/jetpack-portfolio\/407","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=\/wp\/v2\/jetpack-portfolio"}],"about":[{"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=\/wp\/v2\/types\/jetpack-portfolio"}],"author":[{"embeddable":true,"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=407"}],"version-history":[{"count":3,"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=\/wp\/v2\/jetpack-portfolio\/407\/revisions"}],"predecessor-version":[{"id":414,"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=\/wp\/v2\/jetpack-portfolio\/407\/revisions\/414"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=\/wp\/v2\/media\/415"}],"wp:attachment":[{"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=407"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=407"},{"taxonomy":"jetpack-portfolio-type","embeddable":true,"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=%2Fwp%2Fv2%2Fjetpack-portfolio-type&post=407"},{"taxonomy":"jetpack-portfolio-tag","embeddable":true,"href":"https:\/\/conceptual-joining.com\/index.php?rest_route=%2Fwp%2Fv2%2Fjetpack-portfolio-tag&post=407"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}