Geomatic – A command-driven geometry studio enabled with autodiff
All commands have the format `output = \func inputs` or just `\function inputs`. Points and scalars are built on the fly. Eg `\line a b` to an empty canvas creates points `a` and `b`, and joins them with a line. One can use broadcasting semantics similar to NumPy and PyTorch in a visual setting (imagine creating a list of circles where one dim corresponds to radius and another to the center). One can also use backpropagation, run gradient descent or visualize vector fields. Almost everything is reactive so changing a variable updates all of the downstream geometry. It also allows anyone to…
In plain words
Geomatic is a command-driven geometry studio that lets users create and manipulate geometric shapes through simple text commands. Points, lines, and other elements are built on demand, and the tool supports broadcasting semantics for generating multiple shapes with varying parameters. It includes autodifferentiation capabilities for running gradient descent and visualizing vector fields. Changes to variables automatically update all dependent geometry reactively, and users can write custom visualizations that work within the same system.
written from the facts on this page · September 2026
From the sources
In the maker’s words, at launch
All commands have the format `output = \func inputs` or just `\function inputs`. Points and scalars are built on the fly. Eg `\line a b` to an empty canvas creates points `a` and `b`, and joins them with a line. One can use broadcasting semantics similar to NumPy and PyTorch in a visual setting (imagine creating a list of circles where one dim corresponds to radius and another to the center). One can also use backpropagation, run gradient descent or visualize vector fields. Almost everything is reactive so changing a variable updates all of the downstream geometry. It also allows anyone to write and load their own visualization, which can be broadcasted and differentiated through. https://www.tinyvolt.com/geomatic/examples/getting-started
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