What patterns can we find in nature? Plants, flowers and fruits have all kinds of patterns, from petal numbers that are in the Fibonacci sequence, to symmetry, fractals and tessellation.
What patterns can we find in nature? Plants, flowers and fruits have all kinds of patterns, from petal numbers that are in the Fibonacci sequence, to symmetry, fractals and tessellation.
Mathematics and art have a long historical relationship. The Golden ratio, Geometric patterns, Fractals are all fascinating mathematical ideas that have inspired artists and architects for centuries, I am just exploring these ideas in this presentation
CuriOdyssey is exploring nine visual patterns found in nature in a series of blog posts and in our upcoming new exhibit, THE NATURE OF PATTERNS. The patterns we will delve into are:
1. Symmetries (mirror & radial)
2. Fractals (branching)
3. Spirals
4. Flow and chaos
5. Waves and dunes
6. Bubbles and foam
7. Arrays and tiling (tessellations)
8. Cracks
9. Spots & stripes
These beautiful patterns are seen throughout the natural world, from atomic to the astronomical scale.
Philip Ball's book, "Patterns in Nature" was a source of inspiration. We recommend it to discover more about nature's incredible patterns.
Presented by:
Lyndon Earl Dalen
Niño Zedhic M. Villanueva
Daryl Sinugbuhan
Nico Bryan Sta. Ana
Paolo Fortun
Christian James Salvacion
Albert Limbaña
Elijah Hope Diamante
Mathematics and art have a long historical relationship. The Golden ratio, Geometric patterns, Fractals are all fascinating mathematical ideas that have inspired artists and architects for centuries, I am just exploring these ideas in this presentation
CuriOdyssey is exploring nine visual patterns found in nature in a series of blog posts and in our upcoming new exhibit, THE NATURE OF PATTERNS. The patterns we will delve into are:
1. Symmetries (mirror & radial)
2. Fractals (branching)
3. Spirals
4. Flow and chaos
5. Waves and dunes
6. Bubbles and foam
7. Arrays and tiling (tessellations)
8. Cracks
9. Spots & stripes
These beautiful patterns are seen throughout the natural world, from atomic to the astronomical scale.
Philip Ball's book, "Patterns in Nature" was a source of inspiration. We recommend it to discover more about nature's incredible patterns.
Presented by:
Lyndon Earl Dalen
Niño Zedhic M. Villanueva
Daryl Sinugbuhan
Nico Bryan Sta. Ana
Paolo Fortun
Christian James Salvacion
Albert Limbaña
Elijah Hope Diamante
Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement")[1] in everyday language refers to a sense of harmonious and beautiful proportion and balance.[2][3][a] In mathematics, "symmetry" has a more precise definition, that an object is invariant to any of various transformations; including reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are related, so they are here discussed together.
Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, theoretic models, language, music and even knowledge itself.[4][b]
This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and in the arts, covering architecture, art and music.
The opposite of symmetry is asymmetry.
In geometry[edit]
Main article: Symmetry (geometry)
The triskelion has 3-fold rotational symmetry.
A geometric shape or object is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion.[5] This means that an object is symmetric if there is a transformation that moves individual pieces of the object but doesn't change the overall shape. The type of symmetry is determined by the way the pieces are organized, or by the type of transformation:
An object has reflectional symmetry (line or mirror symmetry) if there is a line going through it which divides it into two pieces which are mirror images of each other.[6]
An object has rotational symmetry if the object can be rotated about a fixed point without changing the overall shape.[7]
An object has translational symmetry if it can be translated without changing its overall shape.[8]
An object has helical symmetry if it can be simultaneously translated and rotated in three-dimensional space along a line known as a screw axis.[9]
An object has scale symmetry if it does not change shape when it is expanded or contracted.[10] Fractals also exhibit a form of scale symmetry, where small portions of the fractal are similar in shape to large portions.[11]
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
2. The Laws Of Nature Are But The Mathematical Thoughts
Of
God
Mathematics is everywhere in this universe. We
seldom note it. We enjoy nature and are not interested
in going deep about what mathematical idea is in it.
Here are a very few properties of mathematics that are
depicted in nature.
SYMMETRY
• Bilateral Symmetry
• Radial Symmetry
SHAPES
• Sphere
• Hexagons
• Cones
PARALLEL LINES
FIBONACCI SPIRAL
3. Symmetry is everywhere you look in
Nature
Symmetry is when a figure has two sides that are mirror images of one
another. It would then be possible to draw a line through a picture of the
object and along either side the image would look exactly the same. This
line would be called a line of symmetry.
One is Bilateral Symmetry in which
an object has two sides that are
mirror images of each other.
The other kind of symmetry is Radial
Symmetry. This is where there is a
center point and numerous lines of
symmetry could be drawn.
There are two kinds of
Symmetries
4. Bilateral Symmetry
The human body would be an excellent
example of a living being that has
Bilateral Symmetry.
Few more pictures in nature showing bilateral symmetry
5. Radial Symmetry
The most obvious geometric
example would be a circle
Few more pictures in nature
showing radial symmetry
Isolated-half-cut-
orange-with-perfect-
geometrical-shape
6. SHAPES
Geometry is the branch of mathematics that describes shapes
Sphere Hexagons Cone
A sphere is a perfectly round
geometrical object in three-dimensional
space, such as the shape of a round ball.
The shape of the Earth is very close to
that of an oblate spheroid, a sphere
flattened along the axis from pole to
pole such that there is a bulge around
the equator.
Hexagons are six-sided
polygons, closed, 2-dimensional, many-
sided figures with straight edges.
For a beehive, close packing is
important to maximise the use of space.
Hexagons fit most closely together
without any gaps; so hexagonal wax cells
are what bees create to store their eggs
and larvae.
A cone is a three-dimensional geometric
shape that tapers smoothly from a
flat, usually circular base to a point called
the apex or vertex.
Volcanoes form cones, the steepness and
height of which depends on the
runniness (viscosity) of the lava.
Fast, runny lava forms flatter cones;
thick, viscous lava forms steep-sided
cones.
7. Parallel Lines
In mathematics, Parallel Lines stretch to infinity, neither converging nor diverging
These parallel dunes in the Australian desert aren't perfect - the
physical world rarely is --
8. Fibonacci Spiral
If you construct a series of squares with lengths equal to the
Fibonacci numbers (1,1,2,3,5, etc) and trace a line through
the diagonals of each square, it forms a Fibonacci spiral
Many examples of the Fibonacci spiral can be seen in
nature, including in the chambers of a nautilus shell