Phi: Beautiful Geometry Accompanies Episode 5 The Numbers Show - PowerPoint PPT Presentation

Dec 11, 2023 •115 likes •290 views

Phi: Beautiful Geometry Accompanies Episode 5 The Numbers Show Starring Zero and The Digits Released January 6, 2019 Geometry (from the Ancient Greek: ; geo- "earth", - metron "measurement") is a

Phi: Beautiful Geometry Accompanies Episode 5 The Numbers Show Starring Zero and The Digits Released January 6, 2019
Geometry (from the Ancient Greek: γεω µ ετρία ; geo- "earth", - metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Phi: The Golden Mean
Pentagram:
Pentagram and phi in a design
Natural and architectural Golden Spirals 6
Phi and the Golden Spiral created by the growth of the Chambered Nautilus 7
Golden Spiral in growth of pinecone seeds and cauliflower heads 8
Pentagram and phi in design of sunflower petals and seeds
Phi in the relationship of the Great Pyramid in Giza, Egypt 10
Golden Spiral and Golden Mean in the design of the Mona Lisa by Leonado DaVinci 11
Golden Mean and Fibonnaci sequence in human body structure 12
Golden Mean believed by some to be part of the design of the Parthenon. Controversial! 13
Designs of Corbusier uses Fibonnaci sequence and phi 14
Notice use of phi in the design of the picture by 15 Vermier
The Last Supper by Salvador Dali 16

Recommend

Keep Texas Beautiful Partnership Keep Texas Beautiful Mission : To educate and engage Texans to

Keep Texas Beautiful Partnership Keep Texas Beautiful Mission : To educate and engage Texans to take responsibility for improving their community environment Vision : To make Texas the cleanest, most beautiful state in the nation Focus Areas :

138 views • 12 slides

How to make beautiful 3D text How How How to to to make make make beautiful beautiful

How to make beautiful 3D text How How How to to to make make make beautiful beautiful beautiful 3D 3D 3D text text text http://www.presentation-3d.com Now introduce you how to do a beautiful 3D text, the general 3d text do you

640 views • 5 slides

Keep America Beautiful: Do Beautiful Things W HAT IS K EEP A MERICA B EAUTIFUL ? Established in

Keep America Beautiful: Do Beautiful Things W HAT IS K EEP A MERICA B EAUTIFUL ? Established in 1953 Seeks to: 600 Affiliates Nationwide 43 Affiliates in the State of Florida IN 2018 Activated 3.4 million Cleaned 71,000 miles of

156 views • 14 slides

3d Geometry for Computer Graphics Lesson 1: Basics & PCA 3d geometry 3d geometry 3d

3d Geometry for Computer Graphics Lesson 1: Basics & PCA 3d geometry 3d geometry 3d geometry Why?? We represent objects using mainly linear primitives: points lines, segments planes, polygons Need to know how to

913 views • 52 slides

Why Complex Analysis Pseudoconvex Domains: Where Holomorphic Functions Live Beautiful theory

Why Complex Analysis Pseudoconvex Domains: Where Holomorphic Functions Live Beautiful theory Applications to Pure Math (PDEs, Geometry, Number Theory, . . . ) S onmez S ahuto glu Applications to Applied Math (Fourier Analysis,

315 views • 7 slides

Geometry Problems Geometry Problems Examples for Typical ACM Instances Elementary Geometry

Geometry Problems Geometry Problems Examples for Typical ACM Instances Elementary Geometry application of sine/cosine formulas spherical coordinates distances between lines, line segments, polygons, etc. area formulas Algorithmic Geometry

864 views • 13 slides

$A glimpse into convex geometry 5 \ A glimpse into convex geometry Two$

A glimpse into convex geometry 5 \ A glimpse into convex geometry Two

A glimpse into convex geometry A glimpse into convex geometry 5 \ A glimpse into convex geometry Two basis reference: 1. Keith Ball, An elementary introduction to modern convex geometry 2. Chuanming Zong, What is known

1k views • 67 slides

Ansys - Old Geometry - Cathode 1 Ansys - New Geometry - Cathode lamella (PCB and copper

Ansys - Old Geometry - Cathode 1 Ansys - New Geometry - Cathode lamella (PCB and copper strips) geometry is closer to realitiy additional gas volumes 2 Ansys - New Geometry - GEM unit cell Kapton layer with gas holes complete

883 views • 28 slides

Hyperbolic Geometry Victor Gonzalez Mentor: Ryan Kirk May 4, 2016 Hyperbolic Geometry We are

Hyperbolic Geometry Victor Gonzalez Mentor: Ryan Kirk May 4, 2016 Hyperbolic Geometry We are all familiar with Euclidean Geometry. Its the type of geometry that represents the world we live in today. But there are other types of geometry,

533 views • 15 slides

Geometry Euclid of Alexandria The Founder of Geometry. He was a Greek mathematician, often

Geometry Euclid of Alexandria The Founder of Geometry. He was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I (323283 BC) Pythagorean theorem Geometry

807 views • 66 slides

THE CACCETTA-H AGGKVIST CONJECTURE Adrian Bondy What is a beautiful conjecture? The

THE CACCETTA-H AGGKVIST CONJECTURE Adrian Bondy What is a beautiful conjecture? The mathematicians patterns, like the painters or the poets must be beautiful; the ideas, like the colors or the words must fit together in a

796 views • 43 slides

48-175 Descriptive Geometry Basic Concepts of Descriptive Geometry Descriptive geometry is

48-175 Descriptive Geometry Basic Concepts of Descriptive Geometry Descriptive geometry is about manually solving problems in three-dimensional geometry problems by generating two-dimensional VIEWS what is descriptive geometry? 2

746 views • 51 slides

The portfolio, presentation and tour The Beautiful Scotland process provides your group with three

The portfolio, presentation and tour The Beautiful Scotland process provides your group with three opportunities to impress the judges, to show off your achievements ( these must all be relevant to the three pillars of Beautiful Scotland ), and to

118 views • 7 slides

THE DREAM Esther 2:2-4 NIV Let a search be made for beautiful young virgins for the king. Let

THE DREAM Esther 2:2-4 NIV Let a search be made for beautiful young virgins for the king. Let the kin appoint commissioners in every province of his realm to bring all these beautiful young women into the harem at the citadel of Susa.

491 views • 10 slides

Snapshots from the History of Toric Geometry David A. Cox Geometry 19701988 Toric Geometry

Snapshots from the History of Toric Snapshots from the History of Toric Geometry David A. Cox Geometry 19701988 Toric Geometry and its Applications Demazure KKMS Other Early Papers The Russian School Polytopes Other Developments

842 views • 82 slides

Beautiful Bijections for Permutation Lara Pudwell Patterns Pattern- Avoiding Permutations

Beautiful Bijections for Permutation Patterns Beautiful Bijections for Permutation Lara Pudwell Patterns Pattern- Avoiding Permutations Strategy Lara Pudwell Beautiful Valparaiso University Bijections Compositions Dyck Paths Others?

567 views • 43 slides

1 Cl Be Cl MOLECULAR GEOMETRY # of atoms # lone bonded to pairs on Arrangement of

CHAPTER TEN CHEMICAL BONDING II: MOLECULAR GEOMETRY AND HYBRIDIZATION OF ATOMIC ORBITALS MOLECULAR GEOMETRY V S E P R VSEPR Theory In VSEPR theory, multiple bonds behave like a single electron pair MOLECULAR GEOMETRY Valence shell

422 views • 19 slides

Only the beauty of God can attract Pope Francis uses the word: JOY 45 times BEAUTIFUL 26

EVANGELII GAUDIUM Only the beauty of God can attract Pope Francis uses the word: JOY 45 times BEAUTIFUL 26 times ATTRACT 25 times He clearly wants the Church and we Christians to present a beautiful and positive face. It is very

310 views • 19 slides

A Beautiful Journey Lorenzo Cavallaro <Lorenzo.Cavallaro@rhul.ac.uk> Information Security

A Beautiful Journey Memory Error Protections The Aftermath Conclusions A Beautiful Journey Lorenzo Cavallaro <Lorenzo.Cavallaro@rhul.ac.uk> Information Security Group Royal Holloway, University of London Jan, 26 2012 Lorenzo

969 views • 72 slides

So we created an agile municipality, an organization that is mobile, adaptable and flexible based

ngelholm is a beautiful little coastal town in southern Sweden with just over 41,000 inhabitants. The city that recently celebrated 500 years offers beautiful scenery, culture, recreation, shopping and entertainment. In ngelholm traditionally

298 views • 8 slides

Computational Geometry Algorithm Library Efi Fogel Tel Aviv University Computational Geometry

Computational Geometry Algorithm Library Efi Fogel Tel Aviv University Computational Geometry Apr. 7 th , 2014 Cgal : Mission Make the large body of geometric algorithms developed in the field of computational geometry available for

542 views • 21 slides

Two-View Geometry: Epipolar Geometry and the Fundamental Matrix Shao-Yi Chien

Two-View Geometry: Epipolar Geometry and the Fundamental Matrix Shao-Yi Chien Department of Electrical Engineering National Taiwan University Fall 2018 1 Outline Epipolar geometry and the fundamental matrix [Slides credit: Marc

414 views • 27 slides

Is Mathematics Beautiful? If It Is, Is It Because God Is A Mathematician? 1 Tex When the

Is Mathematics Beautiful? If It Is, Is It Because God Is A Mathematician? 1 Tex When the famous mathematician Gauss was a child, his teacher, trying to keep him busy, set him on the task of finding the sum of the whole numbers 1 to 100.

669 views • 41 slides

Empowering Pennsylvanians to keep our communities clean and beautiful Shannon Reiter, President

Empowering Pennsylvanians to keep our communities clean and beautiful Shannon Reiter, President Keep Pennsylvania Beautiful 724.836.4121 | sreiter@keeppabeautiful.org keeppabeautiful.org | gacofpa.org | illegaldumpfreepa.org

524 views • 31 slides