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New blog post: Unit Gradient Fields: The Promise of Unbreakable Geometry

https://www.blakecourter.com/2023/06/03/foreword.html

Unit Gradient Fields: The Promise of Unbreakable Geometry - Blake Courter

Something seemed different about Sarah Frisken and Ron Perry, researchers from MERL who had ventured out to Boston’s Route 128 tech corridor to present their...

Another post on unit gradient fields (UGFs) a generalization of modeling with signed distance fields (SDFs). These techniques enable the most powerful use of implicit modeling in engineering applications like @nTopology.

https://www.blakecourter.com/2023/05/18/field-notation.html

Unit Gradient Fields: SDFs, UGFs, and their friends - Blake Courter

$$ \newcommand{\R}{\mathbb{R}} $$$$ \newcommand{\shape}[1]{\mathcal{#1}} $$$$ \newcommand{\grad}{\boldsymbol{\nabla\!}} $$$$ \newcommand{\BoundaryMap}[2][]{\...

New post as part of a new series on Unit Gradient Fields (UGFs): https://www.blakecourter.com/2023/05/05/what-is-offset.html

UGFs are more versatile than distance fields when applying implicit modeling to engineering applications. The new #nTop logo, for example, hints at them. As we ramp up to #cdfam23, expect frequent posts discussing the role of UGFs when engineering with implicits.

Unit Gradient Fields: What do we mean by "offset"? - Blake Courter

$$ \newcommand{\R}{\mathbb{R}} $$$$ \newcommand{\shape}[1]{\mathcal{#1}} $$$$ \newcommand{\func}[1]{\mathop{\rm #1}\nolimits} $$$$ \newcommand{\DF}{\mathfrak...

Engadget is part of the Yahoo family of brands

Has anyone else had the feeling lately, perhaps when typing, that you are playing the role of GPT?
People who are intelligent tend to aggrandize intelligence. Do not overlook the impacts of hard work, determination, community support, access to resources, and luck.

A few folks wondered if there was any “there” there in the post on hyperbolic tessellations. Will expand the topic if there’s more interest. More here:

https://www.linkedin.com/posts/blakecourter_case-study-hyperbolic-multiscale-lattices-activity-7048288584717479937-Exoc?utm_source=share&utm_medium=member_ios

Blake Courter on LinkedIn: Case Study: Hyperbolic multiscale lattices for the entangled lifestyle

Well that was a blast at QE3D. Thanks Duann Scott for nucleating and Andrew Sartorelli Fabian Grupp Matthew Shomper Timothy W. Simpson Alexander Oster Subham…

Great to see so much interest in what we're doing at QE3D! Here's a tutorial and case study on the use of multiscale, hyperbolic lattices to improve product fitness, functionality, and fidelity.

https://www.blakecourter.com/2023/04/01/hyperbolic-case-study.html

Tips on Euclidean/Hyperbolic CAD interoperability included!

Case Study: Hyperbolic multiscale lattices for the entangled lifestyle - Blake Courter

1 April 2023As mentioned yesterday, hyperbolic space is more spatially dense than Euclidean space, and therefore offers opportunities for higher performance ...

More thoughts about the potential opportunities and challenges in quantum-entangled 3D printing on my blog! https://www.blakecourter.com/2023/04/01/hyperbolic-cad.html
Hyperbolic CAD for High-Performance Engineering - Blake Courter

1 April 2023As the cost of fabricating high-fidelity, quantum-collapsed geometry becomes increasingly prevalent, as an industry, we’re forced to confront the...

Down with quantum entanglement? Ever want to work with non-Euclidean, higher-dimensional, or fractal geometry in your day job? We have lots of open positions at https://www.linkedin.com/company/qe3d/, just out of stealth mode!