Constructing The Universe
The Universe may be a Mystery, but it's no Secret!

This website is a look at some interests of
Michael S. Schneider
 offered for your enjoyment and education.

Michael S. Schneider is an educator and writer who encourages a love of learning through an appreciation of mathematics, nature, art and science.


"There is a geometry of art as there is a geometry of life,
and, as the Greeks had guessed,
they happen to be the same."
-- Matila Ghyka



This cabinet by The Herter Brothers of the late 19th century was designed geometrically
with square-root of two proportions for practical and aesthetic reasons.
A more complete analysis can be found here.

I presented my findings about the appearance of Golden Ratio geometry in ancient Egyptian art 
in Newport Beach, California on October 10th, 2009. A DVD is available. (see below). 



Announcing The
Constructing The Universe Classroom
 in San Anselmo, California

A Classroom for
Artists
Artisans
Architects
Students
Educators
Home Schoolers
UnSchoolers
and Students of the geometry of life and art,
the natural sciences and philosophy.

Classes begin Tuesday January 12th with a weekly hands-on exploration of
"How The World Is Made -- The Story Of Creation According To Sacred Geometry"
by John Michell with Allan Brown.

Saturday Classes and Workshops beginning January 16th:

The Fibonacci Numbers
Fibonacci Workshop

 Golden Section
Worldwide Golden Section Art
Golden Section Art Workshop

The Spiral Path
Spirals Workshop

Sacred Geometry of Tutankhamun's Treasures
Egyptian Art Workshop

Which of these interconnected topics are you interested in?

Numbers and Shapes: The Universal Language of Nature and Art

The numbers 1 through 12 and the language of geometric patterns in nature, art and culture.

One and Two: Unity and Polarity
Three: Tri-Unity
Four: Fair and Square
Five: The Flag of Life (Pentagram, Fibonacci Numbers and Golden Section)
Six: The Joy of Six
Seven: The Virgin Number
Eight: Periodic Renewal
Nine: The Horizon
Ten: New Unity
Eleven: The PassageWay
Twelve: Cosmic Dozens

Beautiful Proportions in Sacred Arts, Crafts and Architecture

Worldwide traditions looked to the archetypal patterns of mathematics and nature for their compelling designs.

Natural Design and Sacred Art
The Art of Root-Rectangles
The Art of Polygons
Worldwide Healing Art
Sacred Windows
Principles of Sacred Architecture
Design A Cathedral
Design Sacred Pottery
Design Egyptian Jewelry
Golden Section Design
Islamic Patterns and Escher's Art

Constructing The Universe: Traditions of Mathematical Wisdom

The Geometer's Creation Myth
The Geometry of Fruits & Vegetables
Pythagorean Arithmetic: Figurate Numbers
The Tetraktys
Magic Squares
Knotted-Rope Geometry
The Five Platonic Solids
The Cosmological Circle
Music of the Spheres
The Spiral Path of Conflict Resolution
The Solar System Mandala
Ancient Metrology: Straightening Out Sacred Measure

Traditional Wisdom Survey

An appreciation of sacred traditions and related topics.

Egyptian Mysteries
The Eleusinian Mysteries
The School of Pythagoras
Savitri by Sri Aurobindo
Chakra Symbolism Around the World
Geometric Construction as Meditation

Click on this picture to see some geometric watercolors I've painted.

Here are some large public mandalas in Ireland influenced by my books. They're each made of natural materials and objects.

Illustrated Talk on Geometry & Egypt

I presented my findings about geometric composition in ancient Egyptian arts, crafts and architecture at the CPAK conference on Saturday October 10th, 2009 at the National Academy of Sciences' Beckman Center at UC Irvine, California.

A Golden Rectangle surrounds this Udjat eye pectoral.
Any Golden Rectangle may be divided into a square and another Golden Rectangle
by swinging an arc from the middle of a square,
as the vulture goddess Mut does here with her wing.
Similar "movements" place each element of it's design into harmonious arrangement.

Essays on the Web

The Geometry of Rose Windows:

Chartres Cathedral

Grace Cathedral (San Francisco)

Cathedral of St. John The Divine (New York City)

Geometry of a Kangra Painting

The Geometry of a Herter Brothers Cabinet

"Cosmic Dozens: Twelve-Fold Designs of Society and Art "

"Orienting From The Center"

LISTEN!

Walter Cruttenden and Geoff Patino of the Binary Research Institute interview Michael about numbers, nature, art and ancient philosophy here. (March 2008)

Hear an interview with Michael on the Voice Of America program "Our World" (27 December 2003, 5.4 Mb .mp3 audio file)

Click here to hear a review of "A Beginner's Guide To Constructing The Universe" regarding mathematics education.

Click here to hear a review (podcast or .mp3) by Jeffrey Millburn at Omni Art Salon about using the book for developing awareness.

Click here to listen to Documentary Film Maker Elizabeth Upton speak about Michael's work in an interview about "Sacred Geometry" on Mike Hagen's Radio Show (10.5 Mb .mp3 audio file).

Does 5x5=25 or 14? Are you sure?
Ma and Pa Kettle mix mathematical principles in this amusing old movie clip on YouTube.

Can 7x13=28? It doesn't seem likely, but perhaps you'll be convinced!
Abbott and Costello also mix mathematical principles in this amusing old movie clip on YouTube.

A prediction from the year 1900 about education in the year 2000 --

“Where all think alike, no one thinks very much”
-- Walter Lippmann (1889-1974)

Michael is the author of
A Beginner's Guide To Constructing The Universe:
The Mathematical Archetypes Of Nature, Art and Science
(HarperPerennial paperback 1995)
Dutch  Korean

My dear friend and teacher, the philosopher, antiquarian, artist and writer John Michell, passed into the Light peacefully on April 24, 2009.
The influence of this gentle, generous and brilliant man upon me and many others is incalculable.
Click on a picture for more...

About Michael ... Photo by Karen Koshgarian

Michael S. Schneider has been an educator for 36 (= 1+2+3+4+5+6+7+8) years. He delights in exploring the intersections of nature, science, mathematics and art.

Michael has a Bachelor of Science degree in Mathematics from the Polytechnic Institute of Brooklyn, (now The Polytechnic Institute of NYU) and a Master's Degree in Mathematics Education from the University of Florida (Gainesville). He taught youngsters for twelve years in public and private schools at the Middle School and Elementary school levels. In 1977, Michael was a Fulbright-Hayes Scholar in India studying ancient mathematics and sciences. He has been a computer consultant at the United Nations, Nickelodeon, MTV, NYTimes and many other corporations. He has worked for the New York Academy of Sciences, and wrote articles, posters and teachers' editions for various Scholastic magazines including Science World, SuperScience, DynaMath, and Teaching and Computers magazines. Michael was the creator and writer of the weekly "Mother Nature" segment at WNYC-FM radio on the popular live broadcast "Kids America" program (1986-87). He's also held workshops for educators at The Metropolitan Museum of Art in New York through their Education Department including "Science in the Art Museum", "The Mathematics of Islamic Art" and "Showing Children Harmony".In 1993 Michael worked with master stonecarver Simon Verity to design the geometry harmonizing the statues on the south side of the "Portal of Paradise" (central entrance) to the Cathedral of St. John the Divine in New York City. During 1996-97 Michael was the Dean of Mathematics and Dean of Science at The Ross School in East Hampton, NY.

Michael is the author of "A Beginner's Guide To Constructing The Universe: The Mathematical Archetypes Of Nature, Art and Science" (HarperPerennial paperback 1995), five "Constructing The Universe Activity Books" and numerous articles concerning mathematics and teaching mathematics through nature, art science and philosophy.

Although the back of A Beginner's Guide... says that Michael lives in New York City, he actually resides in Marin County, California. He's an Adjunct Professor at the California College Of The Arts (San Francisco and Oakland) teaching art students "Mathematical Ideas" useful to them. He's also taught at the Ex'pression College For Digital Media in Emeryville and the Sophia Center For Graduate Studies in Culture and Spirituality at Holy Names University in Oakland.