skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Attention:

The NSF Public Access Repository (PAR) system and access will be unavailable from 11:00 PM ET on Thursday, June 12 until 2:00 AM ET on Friday, June 13 due to maintenance. We apologize for the inconvenience.


Title: The Sum of Squares in Polycubes
We give several ways to derive and express classic summation problems in terms of polycubes. We visualize them with 3D printed models. The video is here: http://go.ncsu.edu/sum_of_squares.  more » « less
Award ID(s):
2017980
PAR ID:
10422651
Author(s) / Creator(s):
Editor(s):
Chambers, Erin W.
Date Published:
Journal Name:
International Symposium on Computational Geometry (SoCG 2023)
Page Range / eLocation ID:
65:1--65:6
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. Allison Gamzon and Alexandra Appleton (Ed.)
    When you think about environmental issues, you probably think about science. How does science explain the problem? How can we use science to create a solution? Yet if we only think like scientists, we may miss important details. That is why we need to share knowledge with people who have different perspectives. We shared knowledge with local residents near the Guassa grassland in Ethiopia to discuss how land use had changed over time. They described how they use the land and the benefits it provides. Using satellite technology, we created maps of the area. We then shared these maps with the people of Guassa. Together, we found a link between soil problems and land use changes. We also determined how different management strategies affect land use. Because we shared knowledge with the local residents, we created a more complete picture of what is happening in Guassa. 
    more » « less
  2. Machine settings and tuning are critical for digital fabrication outcomes. However, exploring these parameters is non-trivial. We seek to enable exploration of the full design space of digital fabrication. To identify where we might intervene, we studied how practitioners approach 3D printing. We found that beyond using CAD/CAM, they create bespoke routines and workflows to explore interdependent material and machine settings. We seek to provide a system that supports this workflow development. We identified design goals around material exploration, fine-tuned control, and iteration. Based on these, we present p5.fab, a system for controlling digital fabrication machines from the creative coding environment p5.js. We demonstrate p5.fab with examples of 3D prints that cannot be made with traditional 3D printing software. We evaluate p5.fab in workshops and find that it encourages novel printing workflows and artifacts. Finally, we discuss implications for future digital fabrication systems. 
    more » « less
  3. Abstract Dissecting the neurobiology of dance would shed light on a complex, yet ubiquitous, form of human communication. In this experiment, we sought to study, via mobile electroencephalography (EEG), the brain activity of five experienced dancers while dancing butoh, a postmodern dance that originated in Japan. We report the experimental design, methods, and practical execution of a highly interdisciplinary project that required the collaboration of dancers, engineers, neuroscientists, musicians, and multimedia artists, among others. We explain in detail how we technically validated all our EEG procedures (e.g., via impedance value monitoring) and how we minimized potential artifacts in our recordings (e.g., via electrooculography and inertial measurement units). We also describe the engineering details and hardware that enabled us to achieve synchronization between signals recorded in different sampling frequencies, and a signal preprocessing and denoising pipeline that we have used to re-sample our data and remove power line noise. As our experiment culminated in a live performance, where we generated a real-time visualization of the dancers’ interbrain synchrony on a screen via an artistic brain-computer interface, we outline all the methodology (e.g., filtering, time-windows, equation) we used for online bispectrum estimations. We also share all the raw EEG data and codes we used in our recordings. We, lastly, describe how we envision that the data could be used to address several hypotheses, such as that of interbrain synchrony or the motor theory of vocal learning. Being, to our knowledge, the first study to report synchronous and simultaneous recording from five dancers, we expect that our findings will inform future art-science collaborations, as well as dance-movement therapies. 
    more » « less
  4. Collaborative research between scholars of science and technology studies (STS)and scholars of science, technology, engineering, and math (STEM) is a growing trend. The papers assembled in thisSpecial Section offer both embodied and empirical knowledge on how ethnographers negotiate our roles in integrative research when constrained by what our technoscientific collaborators value, what funders demand, what our home institutions expect, what we want to learn from the worlds we study, and the social transformations we envision in science and society. We grapple with how we as ethnographers can best balance caring for the communities we study, the ones we serve, and the ones we identify with. We take care that knowledge making is political. Race, gender, class, and ability status of scholars intersect with the organizational, institutional, and cultural contexts in which we practice science to shape and be shaped by entrenched power relations.Through a feminist politics of care, this collection transforms tensions in interdisciplinary collaborations into resources that enlarge our understandings of what these collaborations are like for STS ethnographers, make visible certain labors within them and, crucially, enrich our vision for what we want these collaborations to be. 
    more » « less
  5. We consider the following question. We have a dense regular graph $$G$$ with degree $$\a n$$, where $$\a>0$$ is a constant. We add $m=o(n^2)$ random edges. The edges of the augmented graph $G(m)$ are given independent edge weights $$X(e),e\in E(G(m))$$. We estimate the minimum weight of some specified combinatorial structures. We show that in certain cases, we can obtain the same estimate as is known for the complete graph, but scaled by a factor $$\a^{-1}$$. We consider spanning trees, shortest paths and perfect matchings in (pseudo-random) bipartite graphs. 
    more » « less