2d:null 2e:["$","title",null,{"children":"SM2220 Assignment 6 | ychsu6 | Observable"}] 33:T686,md` ## Application of Differential Growth ### [Nervous System Blog](https://n-e-r-v-o-u-s.com/blog) about Generative Design ### [Floraform - Designing with Simulations](https://n-e-r-v-o-u-s.com/blog/?p=6721) #### An exploration of Differential Growth from Rippled Forms in diverse ecosystems: The Rippled leaves and blooming flowers (here Celosia flower) suggested that there was a space of form between the normal and the mutant.
Differential Growth: Complex ruffle forms are developed from a very simple procedure, surface growing differentially at the edge.

### Mapping out the simulation space

#### Point-based / tip splitting

#### Line-based / fascinated

#### Edge-based

The Edge-based growth + multiple variations based on: - Fall off - Bend Strength: surfeace's resistence - Anisotropy: direction of growth - Gravity - Growth zones: spacial distribution `34:T5c3,md` ### Algorithms Floraform is a computational simulation of differential growth on a thin surface. The system includes a physics simulation of a thin shell or elastic surface with a curved rest configuration and a model of growth. The surface is modeled as a triangle mesh represented as a half-edge mesh structure. It evolves through time and on each timestep, forces are computed on each vertex of the mesh, new positions are integrated for each vertex, and growth rates expand each edge of the mesh. - Forces consist of several resists:
Each edge of the mesh as a spring -> resists stretching of surface
Edge between two faces has bend energy proportional to the angle between -> resists bending

- Collision detection to prevent surfaces intersecting:
Each vertex has an ellipsoid-shaped collision body around, when two collision bodies intersect introduce a stiff spring-like force that pushes them away - Geodesic distance:
The growth rate of the surface is controlled by the distance along the surface from the edge or some other specified growing zone. - Adaptive subdivision for details, smooth surface, and stable stimulation:
Any edge that grows above a threshold length is subdivided Edge flipping is introduced to balance the topology of the mesh as it subdivides.

`35:[] 31:{"id":"810ad9effe01210c","slug":"sm2220-assignment-6","title":"SM2220 Assignment 6","thumbnail":"5100d934f9662d8ef134c92338c01e8ca7f44ca61b93b1ca9be59190c11b8114","access_level":"public","create_time":"$D2021-10-19T13:16:11.692Z","update_time":"$D2021-10-19T19:10:40.495Z","view_time":null,"first_public_time":"$D2021-10-19T14:01:03.008Z","has_unpublished_edits":null,"fork":false,"stars":1,"starred":false,"owner":{"type":"team","id":"c3d91d7db2867b4d","login":"betahsu","name":"ychsu6","avatar_url":"https://avatars-next.observableusercontent.com/197b7792c36f626b9fe391a472486b8b6dc3cf3503a2bb52e365e7916c324a9e","tier":"starter_2024"},"version":187,"publish_version":187,"role":null,"authored":false,"authors":[{"type":"individual","id":"8205ffe96d046f8c","login":"betahsu","name":"ychsu6","avatar_url":"https://avatars-next.observableusercontent.com/197b7792c36f626b9fe391a472486b8b6dc3cf3503a2bb52e365e7916c324a9e","tier":null}],"members":[{"type":"individual","id":"8205ffe96d046f8c","login":"betahsu","name":"ychsu6","avatar_url":"https://avatars-next.observableusercontent.com/197b7792c36f626b9fe391a472486b8b6dc3cf3503a2bb52e365e7916c324a9e","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"title":"SM2220 Assignment 6","cells":[{"id":3,"value":"md`# SM2220 Assignment 6`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":44,"value":"md`## Generative Art articles`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":49,"value":"$33","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":135,"value":"$34","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":151,"value":"md`\n#### Forms iterations for jewelry design: \n-> Flowers: curling, convoluted forms with symmetry
\n-> Jellyfish: scales changes throughout the process, incorporate directional, gravity-like forces\n#### Further Explorations:\n-> Combine branching and edge phenotypes to create a hierarchical structure for branches and blooms
\n-> Reaction-diffusion as the control for differentiation and growth
\n-> Floraform as a physical tool to design shape-changing materials, called as 4D printing
\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":172,"value":"md`\n## Differential Growth \n### [Exploring 2D differential growth with JavaScript](https://medium.com/@jason.webb/2d-differential-growth-in-js-1843fd51b0ce)\nIn progress... (The original 2D Differential growth algorithm)\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":131,"value":"md`----------\n## [Kimri's Blog](http://www.kimri.org) about Generative Art\nThis is another interesting Generative Art blog page I've been browsing through recently. Here are just some short ones about generative algorithms:\n## [Worlds](http://www.kimri.org/blog/?p=800) \n### System and their emergent features through object-oriented programming:\nWhat if we give the Canvas its own ontological properties, for the Canvas to be the object itself?\n- Each \"Universe\" is represented by a box, with its own particle system.\n- Temperature: Representing the bouncing rate.\n- Cooling system: Each box tends to cool down.\n- Equilibrium: After a while, the system goes to equilibrium, and each box stabilizes on a shade of red. \n- Counter-intuitive results: There are boxes with a lot of particles, which are though very slow, making the box very “cold”\n\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W35","stdlib":"1","titling":"auto"}} 32:"$31:body"