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695 Results Found

  • Article
  • Open Access
1 Citations
1,531 Views
20 Pages

11 October 2025

As a major contributor to environmental pollution in recent years, solid waste has become an increasingly significant concern in the realm of sustainable development. Unmanned Aerial Vehicle (UAV) imagery, known for its high spatial resolution, has b...

(This article belongs to the Section Environmental Remote Sensing)
  • Article
  • Open Access
5 Citations
2,671 Views
11 Pages

As the nondestructive testing method based on industrial computerized tomography (ICT) is widely used in solid rocket motor (SRM) propellant defect detection, the demand for a corresponding image processing algorithm is increasing. In order to extrac...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
6 Citations
3,517 Views
11 Pages

19 May 2022

To facilitate measuring crystal sizes during batch crystallization at high-solid concentrations by using an invasive imaging system, an in situ imaging measurement strategy based on edge detection and superpixel is proposed for the ambiguous boundary...

(This article belongs to the Section Crystal Engineering)
  • Article
  • Open Access
8 Citations
3,524 Views
20 Pages

Cloud-Edge-Terminal-Based Synchronized Decision-Making and Control System for Municipal Solid Waste Collection and Transportation

  • Ming Wan,
  • Ting Qu,
  • Manna Huang,
  • Xiaohua Qiu and ,
  • George Q. Huang,
  • Jinfu Zhu and
  • Junrong Chen
  • + 2 authors+ 0 author

29 September 2022

Due to dynamics caused by factors such as random collection and transportation requirements, vehicle failures, and traffic jams, it is difficult to implement regular waste collection and transportation schemes effectively. A challenge for the stable...

(This article belongs to the Special Issue Mathematical Modeling and Intelligent Optimization in Green Manufacturing & Logistics)
  • Article
  • Open Access
3 Citations
1,328 Views
24 Pages

14 November 2025

Achieving long-term stable optimization in complex industrial processes (CIPs) is notoriously challenging due to their unclear physical/chemical reaction mechanisms, fluctuating operating conditions, and stringent regulatory constraints. A significan...

(This article belongs to the Special Issue Advances in Industrial Artificial Intelligence for Smart Manufacturing and Sustainable Systems)
  • Article
  • Open Access
3 Citations
3,501 Views
19 Pages

13 April 2021

In this paper, we present an automatic procedure that enhances the solution accuracy of edge-based smoothed 2D solid finite elements (three-node triangular and four-node quadrilateral elements). To obtain an enhanced solution, an adaptive enrichment...

(This article belongs to the Section Mechanical Engineering)
  • Article
  • Open Access
5 Citations
5,901 Views
17 Pages

Mitigating Self-Heating in Solid State Drives for Industrial Internet-of-Things Edge Gateways

  • Cristian Zambelli,
  • Lorenzo Zuolo,
  • Luca Crippa,
  • Rino Micheloni and
  • Piero Olivo

Data storage in the Industrial Internet-of-Things scenario presents critical aspects related to the necessity of bringing storage devices closer to the point where data are captured. Concerns on storage temperature are to be considered especially whe...

(This article belongs to the Section Networks)
  • Article
  • Open Access
6 Citations
3,583 Views
28 Pages

6 August 2023

Numerous combustion applications are concerned with the stabilization of diffusion flames formed by injecting gaseous fuels into a co-flowing stream containing an oxidizer. The smooth operation of these devices depends on the attachment and lift-off...

(This article belongs to the Special Issue Symmetry and Symmetry-Breaking in Fluid Dynamics)
  • Article
  • Open Access
5 Citations
5,447 Views
17 Pages

A Data Matrix Code Recognition Method Based on L-Shaped Dashed Edge Localization Using Central Prior

  • Yi Liu,
  • Yang Song,
  • Guiqiang Gu,
  • Jianan Luo and ,
  • Taoan Wang and
  • Qiuping Jiang
  • + 1 author+ 0 author

21 June 2024

The recognition of data matrix (DM) codes plays a crucial role in industrial production. Significant progress has been made with existing methods. However, for low-quality images with protrusions and interruptions on the L-shaped solid edge (finder p...

(This article belongs to the Special Issue Audio, Image, and Multimodal Sensing Techniques)
  • Feature Paper
  • Article
  • Open Access
3 Citations
3,161 Views
15 Pages

10 November 2022

Unstructured hex meshes are partitions of three spaces into boxes that can include irregular edges, where n≠4 boxes meet along an edge, and irregular points, where the box arrangement is not consistent with a tensor-product grid. A new class of tri-c...

(This article belongs to the Special Issue Higher Order Differential Equations)
  • Article
  • Open Access
1 Citations
840 Views
16 Pages

Pre-seismic anomalies in solid tidal factors can reveal crustal stress accumulation and predict seismic risk; such disturbance signals associated with earthquake incubation are extremely subtle and easily obscured by environmental noise, instrument e...

(This article belongs to the Special Issue Editorial Board Members’ Collection Series: “New Horizons in Geophysics: From Theory to Applications”)
  • Article
  • Open Access
564 Views
30 Pages

27 May 2026

Laser powder bed fusion (LPBF) poses significant simulation challenges due to its highly nonlinear thermo-fluid-solid coupling. To address this, we propose an adaptive framework coupling the edge-based smoothed finite element method (ES-FEM) and smoo...

(This article belongs to the Section Metals and Alloys)
  • Data Descriptor
  • Open Access
610 Views
28 Pages

10 September 2026

Automated classification of municipal solid waste remains challenging due to high variability in object appearance, deformation, contamination, and inconsistent consumer disposal behavior, creating a need for representative multimodal datasets that e...

(This article belongs to the Special Issue IoT and Big Data Applications in Smart Cities: Recent Advances, Challenges, and Critical Issues)
  • Article
  • Open Access
5 Citations
4,029 Views
9 Pages

24 January 2025

The integration of automated tools in engineering education has the potential to improve student assessments, ensuring consistency and reducing instructor workload. This study introduces a Python-based automation tool designed to evaluate student Com...

(This article belongs to the Special Issue Advances in Sports Training and Biomechanics)
  • Review
  • Open Access
17 Citations
7,166 Views
21 Pages

Leading Edge: Intratumor Delivery of Monoclonal Antibodies for the Treatment of Solid Tumors

  • Ester Blanco,
  • Luisa Chocarro,
  • Leticia Fernández-Rubio,
  • Ana Bocanegra and ,
  • Hugo Arasanz,
  • Miriam Echaide,
  • Maider Garnica,
  • Sergio Piñeiro-Hermida,
  • Grazyna Kochan and
  • David Escors
  • + 5 authors+ 0 author

31 January 2023

Immunotherapies based on immune checkpoint blockade have shown remarkable clinical outcomes and durable responses in patients with many tumor types. Nevertheless, these therapies lack efficacy in most cancer patients, even causing severe adverse even...

(This article belongs to the Special Issue Latest Review Papers in Molecular Oncology 2023)
  • Article
  • Open Access
17 Citations
5,495 Views
15 Pages

12 September 2018

Although conventional tool steels have been heat treated on a routine basis for decades, the search continues for new ways to eliminate their troublesome sharp-edged primary chromium carbides, which impair toughness. One of the available techniques i...

  • Article
  • Open Access
11 Citations
3,820 Views
23 Pages

29 August 2022

This article aims at analytically solving the free vibration problem of rectangular thin plates with one corner free and its opposite two adjacent edges rotationally-restrained, which is difficult to handle by conventional semi-inverse approaches suc...

  • Article
  • Open Access
8 Citations
5,994 Views
14 Pages

Resistance of Hydrogenated Titanium-Doped Diamond-Like Carbon Film to Hyperthermal Atomic Oxygen

  • Kengo Kidena,
  • Minami Endo,
  • Hiroki Takamatsu,
  • Masahito Niibe and ,
  • Masahito Tagawa,
  • Kumiko Yokota,
  • Yuichi Furuyama,
  • Keiji Komatsu,
  • Hidetoshi Saitoh and
  • Kazuhiro Kanda
  • + 5 authors+ 0 author

23 October 2015

The effect of irradiation by a hyperthermal-atomic-oxygen beam on hydrogenated titanium-doped diamond-like carbon (hydrogenated Ti-DLC) films, applied as a solid lubricant for equipment used in low-earth orbit was investigated. Unlike the film thickn...

(This article belongs to the Special Issue Metals Challenged by Neutron and Synchrotron Radiation)
  • Systematic Review
  • Open Access
1,184 Views
35 Pages

Black Soldier Fly-Based Protein Production: A Systematic Review of Current Advances and Sustainability Perspectives

  • Diego Alejandro Castro-Cepeda,
  • Luis Ramiro Miramontes-Martínez,
  • Mónica María Alcalá-Rodríguez,
  • Patricio Neumann and
  • Pasiano Rivas-García

2 September 2026

Several global challenges are converging: rising organic solid waste generation, growing food demand, and increasingly unfavorable conditions for food production, including more frequent and severe droughts, water scarcity, and limited agricultural l...

  • Article
  • Open Access
744 Views
22 Pages

4 August 2026

The influence of guide-vane leading-edge profiles on interstage flow, particle transport, and erosion in multistage deep-sea mining pumps remains unclear. This study compares Convex, Linear, and Concave profiles in a two-stage pump using an Euler&nda...

(This article belongs to the Special Issue CFD Simulation of Fluid Machinery)
  • Article
  • Open Access
1 Citations
1,652 Views
13 Pages

Investigation of the Opposite-Electrode Effect on the Planar Solid-State Pulse-Forming Line

  • Zebin Fu,
  • Fanzheng Zeng,
  • Yifeng Liu,
  • Chenglin Jia and
  • Song Li

26 September 2024

The planar solid-state pulse-forming line (planar solid-state PFL) is an important solid-state device used in compact pulse power systems. Moreover, pulsed power systems constitute a crucial element within electroporation systems. In this paper, we p...

(This article belongs to the Section Electrical, Electronics and Communications Engineering)
  • Article
  • Open Access
1 Citations
1,332 Views
18 Pages

Cutting Power Model Determination for Solid Wood Processing Using Response Surface Methodology

  • Miran Merhar,
  • Damir Hodžić,
  • Redžo Hasanagić,
  • Nedim Hurem and
  • Atif Hodžić

1 February 2026

In this study, a model was developed to calculate the power required for the circumferential cutting of solid wood in the longitudinal direction, considering the relevant technological parameters and mechanical properties of the wood. Based on measur...

(This article belongs to the Section Wood Science and Forest Products)
  • Article
  • Open Access
2,695 Views
23 Pages

An Experimental Study on a Blockage Effect of Sting-Free AxialCircular Cylinders

  • Hiroyuki Okuizumi,
  • Yuki Wajima,
  • Yasufumi Konishi,
  • Hideo Sawada and ,
  • Shigeru Obayashi and
  • Naofumi Ohnishi
  • + 1 author+ 0 author

9 February 2025

The correction of the blockage effect is crucial in wind tunnel experiments, particularly for the drag forces on bluff bodies with a large flow separation at the leading edge. Maskell’s wake blockage correction is a widely used method for bluff...

  • Article
  • Open Access
3 Citations
3,082 Views
14 Pages

7 March 2022

Sediment abrasion may cause the removal of material and efficiency loss to hydraulic machinery (hydro-turbine, pump, etc.), which may worsen the internal flow and endanger the safe operation of the machines. As abrasion is caused by the impact of sed...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
12 Citations
4,078 Views
18 Pages

A Practical Deep Learning Architecture for Large-Area Solid Wastes Monitoring Based on UAV Imagery

  • Yang Liu,
  • Bo Zhao,
  • Xuepeng Zhang,
  • Wei Nie and ,
  • Peng Gou,
  • Jiachun Liao and
  • Kunxin Wang
  • + 2 authors+ 0 author

1 March 2024

The development of global urbanization has brought about a significant amount of solid waste. These untreated wastes may be dumped in any corner, causing serious pollution to the environment. Thus, it is necessary to accurately obtain their distribut...

(This article belongs to the Special Issue Deep Learning in Satellite Remote Sensing Applications)
  • Article
  • Open Access
2 Citations
3,182 Views
16 Pages

18 October 2022

A solid electrolyte interphase (SEI) plays an essential role in the functionality and service life of ion batteries, where the structure and formation mechanism are still in the midst. Here, we investigate the initial decomposition and reactions of e...

(This article belongs to the Special Issue Advanced Functional Nanomaterials for Efficient Energy Conversion and Storage)
  • Article
  • Open Access
1 Citations
2,443 Views
12 Pages

25 November 2023

The reaction of UO2 with the respective lanthanide metal and purified graphite in an arc-melting furnace led to the formation of solid solutions of the composition LnxU1−xC2, with Ln = Tb, Dy, Ho, Tm, and Lu. They all crystallize in the tetrago...

(This article belongs to the Special Issue 10th Anniversary of Inorganics: Inorganic Solid State Chemistry)
  • Article
  • Open Access
10 Citations
4,165 Views
20 Pages

Numerical and Experimental Study of Hydraulic Performance and Wear Characteristics of a Slurry Pump

  • Guangjie Peng,
  • Long Tian,
  • Hao Chang,
  • Shiming Hong and ,
  • Daoxing Ye and
  • Baojian You
  • + 1 author+ 0 author

20 December 2021

The slurry pump is widely used in ore mining, metal smelting, petrochemical, and other industries, mainly to transport fluid media containing large solid particles. Importantly, it is easy to damage the impeller of a slurry pump in the operation proc...

(This article belongs to the Special Issue Optimization and Flow Characteristics in Advanced Fluid Machinery)
  • Article
  • Open Access
18 Citations
5,311 Views
14 Pages

Organic Matter Composition and Phosphorus Speciation of Solid Waste from an African Catfish Recirculating Aquaculture System

  • Julia Prüter,
  • Sebastian Marcus Strauch,
  • Lisa Carolina Wenzel,
  • Wantana Klysubun and ,
  • Harry Wilhelm Palm and
  • Peter Leinweber
  • + 1 author+ 0 author

11 October 2020

Recycling of phosphorus (P) from feed input in aquaculture systems gains increasing importance, especially relating to sustainable agriculture and food production. In order to find possible areas of application of African catfish solid waste, the pur...

(This article belongs to the Section Agricultural Systems and Management)
  • Article
  • Open Access
2 Citations
7,019 Views
19 Pages

Dislocation Structure and Mobility in Hcp Rare-Gas Solids: Quantum versus Classical

  • Santiago Sempere,
  • Anna Serra,
  • Jordi Boronat and
  • Claudio Cazorla

29 January 2018

We study the structural and mobility properties of edge dislocations in rare-gas crystals with the hexagonal close-packed (hcp) structure by using classical simulation techniques. Our results are discussed in the light of recent experimental and theo...

(This article belongs to the Special Issue Quantum Crystals)
  • Article
  • Open Access
3 Citations
2,915 Views
36 Pages

Entropy Generation Modeling in Dynamic Local Thermal Non-Equilibrium Systems Using Neural Networks

  • Sameh E. Ahmed,
  • Z. A. S. Raizha,
  • Zeinab Morsy,
  • Fatma Alsubaie and
  • Nouf Alshehry

24 January 2025

The study of entropy generation in thermal non-equilibrium (TNE) states has significant implications for optimizing thermal management systems and understanding heat transfer mechanisms in permeable media. This study investigates the entropy properti...

(This article belongs to the Special Issue Advances in Computational Fluid Dynamics (CFD) Simulation of Thermal Chemical Processes)
  • Article
  • Open Access
6 Citations
6,236 Views
14 Pages

Impact of Porous Media on Boundary Layer Turbulence

  • Sutharsan Satcunanathan,
  • Matthias Meinke and
  • Wolfgang Schröder

13 April 2022

The subsonic flows around NACA 0012 aerofoils with a solid, a porous, and a poro-serrated trailing edge (TE) at a Reynolds number of 1 × 106 are investigated by a hybrid Reynolds-averaged Navier–Stokes (RANS)/large-eddy simulation (LES) a...

(This article belongs to the Special Issue Turbulent Flow)
  • Article
  • Open Access
5 Citations
2,044 Views
16 Pages

Aluminum Foam Sandwich: Pore Evolution Mechanism Investigation and Engineering Preparing Optimization

  • Xi Sun,
  • Zhiqian Jian,
  • Xixi Su,
  • Peng Huang and ,
  • Qiang Gao,
  • Zhanhao Feng and
  • Guoyin Zu
  • + 2 authors+ 0 author

29 September 2023

This paper employs an innovative investigation approach to study pore evolution in Al-Si-Mg-Cu alloy within aluminum foam sandwiches (AFS) by integrating data from heating–expansion ratio curves, in situ observation of synchronous radiation, an...

(This article belongs to the Special Issue Mechanical Performance and Microstructural Characterization of Light Alloys)
  • Article
  • Open Access
2 Citations
2,981 Views
15 Pages

A Normalization Protocol Reduces Edge Effect in High-Throughput Analyses of Hydroxyurea Hypersensitivity in Fission Yeast

  • Ulysses Tsz-Fung Lam,
  • Thi Thuy Trang Nguyen,
  • Raechell Raechell,
  • Jay Yang and ,
  • Harry Singer and
  • Ee Sin Chen
  • + 1 author+ 0 author

Edge effect denotes better growth of microbial organisms situated at the edge of the solid agar media. Although the precise reason underlying edge effect is unresolved, it is generally attributed to greater nutrient availability with less competing n...

(This article belongs to the Section Drug Discovery, Development and Delivery)
  • Article
  • Open Access
6 Citations
4,236 Views
21 Pages

26 April 2023

Computer-extended Descriptive Geometry (CeDG) is a new approach to solving and building computer models of three-dimensional (3D) geometrical systems through descriptive geometry procedures (thus inheriting invariant-symmetry properties from projecti...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
30 Citations
3,631 Views
15 Pages

Tuning Wetting Properties Through Surface Geometry in the Cassie–Baxter State

  • Talya Scheff,
  • Florence Acha,
  • Nathalia Diaz Armas,
  • Joey L. Mead and
  • Jinde Zhang

Superhydrophobic coatings are beneficial for applications like self-cleaning, anti-corrosion, and drag reduction. In this study, we investigated the impact of surface geometry on the static, dynamic, and sliding contact angles in the Cassie–Bax...

  • Feature Paper
  • Article
  • Open Access
21 Citations
4,469 Views
14 Pages

10 June 2021

The recent advances in additive manufacturing technology have widened the choice of materials that can be printed, opening new frontiers in the field of heat transfer devices. This paper explores the use of a solid porous matrix in which paraffin wax...

(This article belongs to the Section Energy Science and Technology)
  • Review
  • Open Access
9 Citations
6,436 Views
20 Pages

2 August 2019

Edge dislocations are linear defects that locally break the positional order of the layers in smectic A liquid crystals. As in usual solids, these defects play a central role for explaining the plastic properties of the smectic A phase. This work foc...

(This article belongs to the Special Issue Patterned-Liquid-Crystal for Novel Displays)
  • Article
  • Open Access
150 Citations
11,307 Views
20 Pages

The Effects of Combined Infill Patterns on Mechanical Properties in FDM Process

  • Mohammadreza Lalegani Dezaki and
  • Mohd Khairol Anuar Mohd Ariffin

26 November 2020

Fused deposition modeling (FDM) is commonly used to print different products with highly complex features. Process parameters for FDM are divided into controllable or uncontrollable parameters. The most critical ones are built orientation, layer thic...

(This article belongs to the Section Polymer Processing and Engineering)
  • Article
  • Open Access
4 Citations
8,020 Views
22 Pages

7 August 2017

Vertices and symmetries of regular and irregular chiral polyhedra are represented by quaternions with the use of Coxeter graphs. A new technique is introduced to construct the chiral Archimedean solids, the snub cube and snub dodecahedron together wi...

(This article belongs to the Special Issue Polyhedral Structures)
  • Editorial
  • Open Access
40 Citations
7,340 Views
3 Pages

High-Entropy Alloys (HEAs)

  • Michael C. Gao and
  • Junwei Qiao

6 February 2018

High-entropy alloys (HEAs) [1,2] loosely refer to multi-principal-element solid solution alloys due to their high configurational entropy, in contrast to traditional alloys, which focus on the edge or corner of phase diagrams with one principal compo...

(This article belongs to the Special Issue High-Entropy Alloys (HEAs))
  • Article
  • Open Access
59 Citations
6,135 Views
11 Pages

9 July 2019

By using EDEM–Fluent codes and coupling the continuous fluid medium with a solid particle discrete element, the solid–liquid two-phase flow field in a centrifugal pump was simulated under the same inlet conditions of the particle volume f...

(This article belongs to the Special Issue Thermodynamics: Modeling and Simulation)
  • Article
  • Open Access
7 Citations
3,003 Views
9 Pages

Nanostripe-Confined Catalyst Formation for Uniform Growth of Ultrathin Silicon Nanowires

  • Yinzi Cheng,
  • Xin Gan,
  • Zongguang Liu,
  • Junzhuan Wang and ,
  • Jun Xu,
  • Kunji Chen and
  • Linwei Yu
  • + 2 authors+ 0 author

26 December 2022

Uniform growth of ultrathin silicon nanowire (SiNW) channels is the key to accomplishing reliable integration of various SiNW-based electronics, but remains a formidable challenge for catalytic synthesis, largely due to the lack of uniform size contr...

(This article belongs to the Special Issue Amorphous and Nanocrystalline Semiconductors: Selected Papers from ICANS 29)
  • Article
  • Open Access
2,244 Views
14 Pages

Intricacies of Thrust Collar Simulation

  • Christian Heinrich and
  • Armin Lohrengel

This paper presents a number of thrust-collar-specific effects to consider when simulating the elastohydrodynamic lubrication state. Plate bending can lead to edge loading and can be considered via an FEM model of the solids. When bending is of no co...

  • Article
  • Open Access
20 Citations
5,797 Views
19 Pages

The State of Trace Elements (In, Cu, Ag) in Sphalerite Studied by X-Ray Absorption Spectroscopy of Synthetic Minerals

  • Nikolay D. Trofimov,
  • Alexander L. Trigub,
  • Boris R. Tagirov,
  • Olga N. Filimonova and ,
  • Polina V. Evstigneeva,
  • Dmitriy A. Chareev,
  • Kristina O. Kvashnina and
  • Maximilian S. Nickolsky
  • + 3 authors+ 0 author

20 July 2020

The oxidation state and local atomic environment of admixtures of In, Cu, and Ag in synthetic sphalerite crystals were determined by X-ray absorption spectroscopy (XAS). The sphalerite crystals doped with In, Cu, Ag, In–Cu, and In–Ag were...

(This article belongs to the Section Crystallography and Physical Chemistry of Minerals & Nanominerals)
  • Article
  • Open Access
10 Citations
3,130 Views
18 Pages

Experimental Investigation of Airfoil Instability Tonal Noise Reduction Using Structured Porous Trailing Edges

  • Yong Wang,
  • Kongcheng Zuo,
  • Peng Guo,
  • Kun Zhao and
  • Victor Feliksovich Kopiev

2 April 2024

Reducing the tonal noise from airfoil instabilities has attracted significant interest from the aeronautical community in the past few years. The aim of this paper is to investigate the effect of structured porous trailing edges on the tonal noise re...

(This article belongs to the Section Acoustics and Vibrations)
  • Article
  • Open Access
5 Citations
1,836 Views
13 Pages

5 October 2023

High porosity phenomena of U-10Mo fuel foil appear in the U–Mo/Al monolithic fuel plate under deep burnup. In this study, the fuel skeleton creep-based bubble growth model is further improved with the intrusion effect of solid fission products,...

  • Article
  • Open Access
9 Citations
3,802 Views
17 Pages

15 April 2021

The emergence of computer-aided design (CAD) has propelled the evolution of the sheet metal engineering field. Sheet metal design software tools include parameters associated to the part’s forming process during the pattern drawing calculation. Curre...

(This article belongs to the Special Issue Advances on Engineering Graphics: Improvements and New Proposals)
  • Article
  • Open Access
2 Citations
1,895 Views
17 Pages

Research on Cutting Force Modeling and Machining Performance of Discrete-Edge End Mill

  • Ming Song,
  • Minli Zheng,
  • Siyuan Gao,
  • Baojuan Dong and
  • Jianping Zhu

10 August 2025

To address the challenges of complex cutting force formation and low prediction accuracy in discrete-edge end mills, this study proposes a precise cutting force modeling method based on an effective chip slot function. An effective chip slot function...

(This article belongs to the Special Issue Advanced Manufacturing Technology and Systems, 3rd Edition)
  • Article
  • Open Access
9,507 Views
31 Pages

Some Elementary Aspects of 4-Dimensional Geometry

  • J. Scott Carter and
  • David A. Mullens

4 May 2015

We indicate that Heron’s formula (which relates the square of the area of a triangle to a quartic function of its edge lengths) can be interpreted as a scissors congruence in four-dimensional space. In the process of demonstrating this, we examine a...

(This article belongs to the Special Issue Diagrams, Topology, Categories and Logic)

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