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    <script type="text/javascript"
            src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS_CHTML"></script>
    
    # MetaVoxels
    
    Tools for the design and simulation of metavoxels (meta-material voxel lattice structures). The objective is the inverse design of metavoxels using the base voxels studied in [DM3](https://gitlab.cba.mit.edu/bej/dm3).
    
    I am now using this gitlab project for documentation only, the code lives [here](https://gitlab.cba.mit.edu/amiraa/metavoxels-code) now.
    
    <img src="02_Presentation/hierarchy.png" width="80%" /><br></br>
    <img src="02_Presentation/overall.gif" width="80%" /><br></br>
    
    <!-- <img src="02_Presentation/simpleBeam.mp4" width="40%" /><br></br>
    <img src="02_Presentation/hier.mp4" width="40%" /> <br></br>
    <img src="02_Presentation/5BaseVoxel.gif" width="40%" /><br></br>
    <img src="02_Presentation/chi2.gif" width="40%" /><br></br>
    <img src="02_Presentation/chi1.gif" width="40%" /><br></br> -->
    
    
    -------------
    
    ## Code
    <!-- - [Group](https://gitlab.cba.mit.edu/groups/metavoxel/-/shared) -->
    - [Code Project](https://gitlab.cba.mit.edu/amiraa/metavoxels-code): https://gitlab.cba.mit.edu/amiraa/metavoxels-code
    - [Installation and Code Structure](02_Presentation/documentation/codeStructure.md)
      - [Tutorial](https://gitlab.cba.mit.edu/amiraa/metavoxels-code/-/blob/master/jupyter/MetaVoxel_Tutorial.ipynb)
    - [GPU Parallelization and Scaling](02_Presentation/performance/performance.md)
    
    ---
    
    ## Physics
    - [Structural Mechanics Model](03_Research/structureModel.md)
    - [Validation and Convergence](02_Presentation/validationAndConvergence/validationAndConvergenceStudies.md)
    - [Non-linear Deformation and Thermal Expansion](02_Presentation/physics/physics.md)
    - [Hierarchy](02_Presentation/hierarchy/hierarchy.md)
    
    
    ---
    
    ## Search
    - [Topology Optimization](02_Presentation/top_opt/search.md)
      - [Hybrid Cellular Automata](https://amiraa.pages.cba.mit.edu/cpp_frep/hca.html)
    - [Voxel Design Tool](02_Presentation/top_opt/voxel_designer/voxelDesignTool.md)
      - [Inverse Homogenization](02_Presentation/top_op/../top_opt/inverse_hom/inverse_homogenization.md)
      - [Multiscale topology optimization](https://amiraa.pages.cba.mit.edu/presentations/201203_Topology_Optimization/index.html#/)
    - [Control Optimization (Weight Agnostic Neural Networks)](https://gitlab.cba.mit.edu/amiraa/physical-computing-design-tools/-/blob/master/02_Presentation/AI_that_grows/AI_grow.md)
    
    ---
    
    ## Robotics
    - [Piano-horse (Drop Test)](02_Presentation/drop/dropTest.md)
    - [Rover](02_Presentation/robotics/rover/rover.md)
    - [Tendon](02_Presentation/robotics/tendon/tendon.md)
      - [Hydorsnake (old)](02_Presentation/robotics/snake/snake.md)
      - [Walker](02_Presentation/robotics/walking/walking.md)
        - [Puppy](02_Presentation/robotics/walking/puppy.md)
    - [Morphing Wing](02_Presentation/robotics/wing/morphingWing.md)
    ----
    
    ## Assembly
    - [Assembler Load](02_Presentation/assembly/assemblyLoad.md)
    - [Swarm Assembly](https://amiraa.pages.cba.mit.edu/swarm-morphing/Bill-e_swarm_simulator/index.html)
    - [Recursive Assembly](https://amiraa.pages.cba.mit.edu/swarm-morphing/recursive_swarm/indexCone.html)
    
    ---
    
    ## Interactive Demos 
    
    - [Tendons Modeling](https://amiraa.pages.cba.mit.edu/metavoxels-code/demos/indexTendon.html)
    - [Rover](https://amiraa.pages.cba.mit.edu/metavoxels-code/demos/indexRover.html)
    - [Precomputed 5*5 cuboct Voxel](https://amiraa.pages.cba.mit.edu/metavoxels-code/demos/indexScaling.html)
    - [Precomputed 4*1 chiral Voxel](https://amiraa.pages.cba.mit.edu/metavoxels-code/demos/indexChiral.html)
    - [Boundary Conditions](https://amiraa.pages.cba.mit.edu/metavoxels-code/demos/indexBoundaryConditions.html)
    - [Hierarchal multi-material 3*3 Base Voxel (old cpu version (to fix))](https://amiraa.pages.cba.mit.edu/metavoxels-code/demos/indexHierarchical.html)
    <!-- - [Precomputed 2*2 Chiral Voxel](https://amiraa.pages.cba.mit.edu/metavoxels/01_Code/191115_NodeJsJulia/demos/indexChiral.html)
    - [Precomputed 3*3 Chiral Voxel](https://amiraa.pages.cba.mit.edu/metavoxels/01_Code/191115_NodeJsJulia/demos/indexChiral3.html)
    - [(Computation & visualization) 5*5 Base Voxel](https://amiraa.pages.cba.mit.edu/metavoxels/01_Code/191115_NodeJsJulia/demos/indexParallel.html)
    - [Old Demo chiral  voxel (Computation & visualization)](https://amiraa.pages.cba.mit.edu/metavoxels/01_Code/191104_MetaVoxel/index.html) -->
    
    
    ----
    # TODO
    
    ## Desired Milestones
    - [x] 3D visualization tool
    - [x] One voxel simulation
    - [x] Multi-voxel simulation
    - [x] Physical simulation comparison
    - [x] Parallel dynamic ODE solver
    - [x] Hierarchical simulation
    - [x] One voxel optimization based on desired deformation
    - [x] Inverse Design of Large Structures
    - [ ] Inverse Design of Active structures (offline and online)
    - [ ] Growing and Evolving structures (Path planing + simulation)
      
    -----------------------
    ### General
      - [x] fix pipeline issue
        - [x] create group for metavoxel
        - [x] port the code to different project
      - [ ] Merge metavoxel with dice stuff??
      - [x] Debug code to use latest julia and CUDA pkg
      - [x] clean the files and put app.js and app1.js and julia notebooks in folders
    ### Documentation
    - [x] get the video you created and add it instead of gifs
      - [x] make sure the codec information is correct
    - [x] Document cpu version and how to change the number of threads
    ### Demos
      - [x] different kinds of voxels
        - [x] add chiral voxel
        - [x] add auxetic voxel
        - [x] add compliant voxel
        - [x] search for one way bendy voxel
        - [x] Demo and .gif different types of voxels beside each other
      - [ ] fill mesh/frep with voxels
        - [ ] port swarm paper asd (voxelizer)
          - [ ] parallelize it
        - [x] fill frep
          - [ ] get the gpu thing and get data from function
      - [x] fix linked demos
      - [x] populate interactive demos
      - [ ] drop down examples from html instead of saving lots of html pages
    ### Scaling and Hierarchy
      - [x] comparison hierarchical vs detailed
        - [ ] madcat
      - [x] automatic elasticity vector calculation
      - [x] use parent data to get hierarchy information
      - [x] different scale voxels in the same simulation (multi-scale simulation)
    ### Interface and visualization
      - [ ] change export settings instead of lost of json to only one and see performance
      - [ ] change visualization to GPU to be faster for bigger systems
        - [x] graph based
          - [ ] show the labels
        - [ ] gpu based
          - [ ] finish implementation
          - [ ] fixed max num of timesteps
      - [ ] see way to show current timestep
      - [ ] slider down for displacement instead of animation
      - [ ] gui for boundary conditions
        - [x] basic boxes
        - [ ] export to json
        - [x] CMODS
          - [x] finish implementation
          - [ ] [node from the browser](https://hackernoon.com/how-to-run-nodejs-in-a-browser-wc4s32by)
      - [x] show force function between nodes
        - [x] force graph
      - [x] show control graph
      - [ ] change to white background
    ### Differentiation and Search
      - [x] Redo the microstructure topology optimization
      - [x] use the compliant one to search for one way bendy structure
      - [ ] differentiation
        - [ ] inverse matrix forward methods/parameter estimation
        - [ ] [adjoint linear solve](https://mitmath.github.io/18337/lecture11/adjoints)
        - [ ] ensemble methods
        - [ ] [other](http://apps.amandaghassaei.com/TrussOptimization2D/)
    ### Physics 
      - [x] change recommended time-step to look at all lengths, E and areas
      - [x] Non linear behavior get the stress strain curve multiple points and use them
      - [ ] add collision/bins
      - [ ] add note about units
      - [ ] add detailed parametric study about the different values that can be changed and effect on convergence and num time steps
        - [ ] for ex: damping factor, stiffness, mass, time steps
      - [ ] Explore double beams 
      - [ ] Add definitions for other beam cross sections
      - [ ] include other integrators (better than verlet integration)
       
    
    ---------------------