Browse Articles

An Analysis of the Mathematical Accuracy of Perspective in Paintings

Grewal et al. | Dec 13, 2019

An Analysis of the Mathematical Accuracy of Perspective in Paintings

Here the authors investigate whether there are mathematical inaccuracies of perspective in artists' paintings that are undetectable with our naked eyes. Using the cross-ratio method, they find that there are three significant errors in various famous paintings which increase as the structures in the paintings recede from the viewer.

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Reinforcement learning in 2-D space with varying gravitational fields

Rousseau et al. | Jun 07, 2025

Reinforcement learning in 2-D space with varying gravitational fields
Image credit: NASA

In this study the authors looked at the ability to navigate planes in space between randomly placed planets. They used machine and reinforcement learning to run simulations and found that they were able to identify optimal paths for travel. In the future these techniques may allow for safer travel in unknown spaces.

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Performance comparison of indoor polyculture utilizing hydroponic and soil-based systems

Sreenath et al. | Jul 26, 2026

Performance comparison of indoor polyculture utilizing hydroponic and soil-based systems

Hydroponics is often promoted as a highly efficient alternative to traditional soil farming, but its effectiveness in small indoor polyculture systems is not well understood. In this study, students compared plant growth and maturity across hydroponic and soil-based indoor polycultures and found that soil grown plants were generally taller and more mature than those grown hydroponically. These results suggest that soil-based methods may outperform hydroponics in certain household polyculture settings.

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Pressing filtration for extraction of cabbage dietary fiber and soluble components

Xie et al. | Nov 16, 2025

Pressing filtration for extraction of cabbage dietary fiber and soluble components
Image credit: Shelley Pauls

Here the authors introduce pressing filtration as a novel, efficient, and low-energy method for extracting dietary fiber from cabbage, which successfully retains heat-sensitive nutrients and achieves a high fiber yield. The study demonstrates the scalability and economic viability of this technique for commercial use, highlighting that the resulting high-fiber cabbage powder can be incorporated into familiar foods like hamburger buns and beef patties without compromising taste or sensory quality.

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