Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

11.3K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
11.3K
Structures of Solids02:22

Structures of Solids

17.3K
Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
17.3K
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

3.7K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.7K
Classification of Systems-I01:26

Classification of Systems-I

528
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
528
Determining the Plane of Cell Division02:13

Determining the Plane of Cell Division

3.8K
Positioning the cell division plane is a critical step during development and cell differentiation, particularly during mitosis when the plane is essential for determining the size of the two daughter cells. The cell division plane is perpendicular to the plane of chromosome segregation, but different types of organisms have different cell division mechanisms to suit their morphology and function. 
Animal cells
In animal cells, the cleavage furrow forms along the plane of cell division...
3.8K
One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

761
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
761

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

PhaLP 2.0: extending the community-oriented phage lysin database with a SUBLYME pipeline for metagenomic discovery.

Database : the journal of biological databases and curation·2026
Same author

Toward explainable and generalizable data-driven modeling in real wastewater treatment plants: Utilizing bidimensional interpretable deep learning and cross-scenario transfer learning.

Journal of environmental management·2026
Same author

Enhancing zero-shot scene recognition through semantic autoencoders and visual relation transfer.

Scientific reports·2025
Same author

Multi-target prediction in volatolomics with deep neural networks: Modeling volatile organic compounds produced by Brochothrix thermosphacta under modified atmospheres.

Food research international (Ottawa, Ont.)·2025
Same author

A Comparative Survey of Vision Transformers for Feature Extraction in Texture Analysis.

Journal of imaging·2025
Same author

CAS-SFCM: Content-Aware Image Smoothing Based on Fuzzy Clustering with Spatial Information.

Journal of imaging·2025

Related Experiment Video

Updated: Jan 6, 2026

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules
09:32

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules

Published on: April 12, 2019

7.0K

All binary number-conserving cellular automata based on adjacent cells are intrinsically one-dimensional.

Barbara Wolnik1, Bernard De Baets2

  • 1Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland.

Physical Review. E
|October 3, 2019
PubMed
Summary

Binary number-conserving cellular automata, modeling particle movement, are proven to be intrinsically one-dimensional. This finding simplifies understanding these discrete dynamical systems, regardless of grid dimension.

More Related Videos

Simple, Affordable, and Modular Patterning of Cells using DNA
08:59

Simple, Affordable, and Modular Patterning of Cells using DNA

Published on: February 24, 2021

4.6K
Preparation of Neuronal Co-cultures with Single Cell Precision
09:06

Preparation of Neuronal Co-cultures with Single Cell Precision

Published on: May 20, 2014

14.2K

Related Experiment Videos

Last Updated: Jan 6, 2026

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules
09:32

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules

Published on: April 12, 2019

7.0K
Simple, Affordable, and Modular Patterning of Cells using DNA
08:59

Simple, Affordable, and Modular Patterning of Cells using DNA

Published on: February 24, 2021

4.6K
Preparation of Neuronal Co-cultures with Single Cell Precision
09:06

Preparation of Neuronal Co-cultures with Single Cell Precision

Published on: May 20, 2014

14.2K

Area of Science:

  • Discrete dynamical systems
  • Cellular automata theory
  • Computational physics

Background:

  • Cellular automata model particle movement in grids.
  • Binary number-conserving automata maintain particle count.
  • The von Neumann neighborhood restricts particle movement to adjacent cells.

Purpose of the Study:

  • To analyze the dimensionality of binary number-conserving cellular automata with von Neumann neighborhoods.
  • To classify all possible rules for these automata in any dimension d.

Main Methods:

  • Theoretical analysis of cellular automaton dynamics.
  • Proof by mathematical induction or direct construction.
  • Examination of particle movement constraints within the von Neumann neighborhood.

Main Results:

  • All binary number-conserving cellular automata with von Neumann neighborhoods are intrinsically one-dimensional.
  • The dimensionality is independent of the grid's spatial dimension (d).

Conclusions:

  • The complexity of these automata does not increase with dimensionality.
  • There are only 4d+1 such automata rules for any given dimension d, including identity, shift, and traffic rules.