p.guest.projects
Artist directory :: p.guest.projectsExplorations of both internal and external worlds (if there is a distinction?) through ideas, art, music, mathematics, language, photography, philosophy and whatever other means come to hand!
About
Welcome to my shoebox!
I trained as an artist. Now I work as a teacher.
Sometimes those two roles intertwine in interesting ways!
Being open to new discoveries can often be more exciting (and educational) than the demonstration of what is (historically) known. Creating a space for active discovery seems like an interesting goal for art as well as education.
Please feel welcome to contact me with any comments, corrections, questions or new ideas! Philip Guest p@pguestprojects.com
Galleries
![Irrational Building Blocks Irrational Building Blocks](https://www.zhibit.org/image/6506b8e4-0517a1145a-42f0c202-t-2/Irrational-Building-Blocks.jpg) | | Irrational should not be a scary word, or carry mystic connotations.
The ratios "which can not be described" are perfectly clear and simple, it's a quirk of language rather than reason that they don't fit into our naming system . . |
![Enneongrams Enneongrams](https://www.zhibit.org/image/814e3766-03603fcaff-42f0c202-t-2/Enneongrams.jpg) | | Exploring 3:6:9 Ratios
Image Processed Images
Originals images &ideas are here.
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![Sphere as a Folded Surface Sphere as a Folded Surface](https://www.zhibit.org/image/c3b21a51-041aee455f-42f0c202-t-2/Sphere-as-a-Folded-Surface.jpg) | | 10 items |
![Platonic Softies Platonic Softies](https://www.zhibit.org/image/f80d4dbb-045d6f2777-42f0c202-t-4/Platonic-Softies.jpg) | | Mathematical Toys for infants who haven't moved on to solids yet!!
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![Progressive Geometry Progressive Geometry](https://www.zhibit.org/image/93531c9d-04c9dd5ee3-42f0c202-t-5/Progressive-Geometry.jpg) | | Polygons Around a Point
Demonstrating the sequence from Plane to Solid to Hyperbolic Geometry
Compiling and unifying work from galleries:
Platonic Softies
Excessive Space |
![Excessive Space Excessive Space](https://www.zhibit.org/image/f36a7167-04e3ff6346-42f0c202-t-2/Excessive-Space.jpg) | | Here is a kind of "specimen cupboard" for the logical, but much less predictable, forms that are emerging as I progress from the solid geometry of "Platonic Softies"
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![Non-Euclidian Playground Structures Non-Euclidian Playground Structures](https://www.zhibit.org/image/b83c68c0-043d4ff343-42f0c202-t-2/Non-Euclidian-Playground-Structures.jpg) | | Summer Camp 2014
Now properly called:
"Euclidian and Non-Euclidian Playground Structures for Guinea-Pigs and Toddlers".
Below are the prototypes, followed by the "post-types". Maquettes are here. Images from the actual camp are here. |
![Sulbasutram Sulbasutram](https://www.zhibit.org/image/71196def-023b2ca76b-42f0c202-t-2/Sulbasutram.jpg) | | Vedic Fire Altar Geometry
(. . . also a possible kindergarten toy ?)
See Blog Entry Here |
![Pythagoras Pythagoras](https://www.zhibit.org/image/fc6579bf-016e53e66f-42f0c202-t-2/Pythagoras.jpg) | | Music as Geometry
Some ideas from Geometry exercises with 6th - 8th Grade students Some ideas from Gyorgy Doczi
Also check out my Geometer's Notebook
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![Music Music](https://www.zhibit.org/image/f6cbc0e5-03e231f02b-42f0c202-t-2/Music.jpg) | | Rudolph Steiner indicates that when you start to teach Physics (Grade VI) you need to start with Music ("Acoustics"), as this is how the Universe was created!
n.b. |
![Ancient Greek Musical Theory for Practical Classroom Use Ancient Greek Musical Theory for Practical Classroom Use](https://www.zhibit.org/image/588ca468-0444173aa2-42f0c202-t-3/Ancient-Greek-Musical-Theory-for-Practical-Classroom-Use.jpg) | | Special Project from Teacher Training
"Of all the pompous asses, I am the pomposious assyist!" |
![Organon Organon](https://www.zhibit.org/image/fa0fffb6-03220d91c3-42f0c202-t-2/Organon.jpg) | | Notes from a course in Formal Logic |
![Scriabin Toy Scriabin Toy](https://www.zhibit.org/image/21777d4b-05033c2dfa-42f0c202-t-5/Scriabin-Toy.jpg) | | Dodecahedron.
First of a series of composers' dice.
This one was a lot of work!
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![Logic Cards Logic Cards](https://www.zhibit.org/image/9c049f27-06185d4f5a-42f0c202-t-2/Logic-Cards.jpg) | | A game for teaching logic!
Under development!
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![Syllogism Syllogism](https://www.zhibit.org/image/6353ae41-02221e2523-42f0c202-t-2/Syllogism.jpg) | | 28 items |
![Sulbasutram Toys Sulbasutram Toys](https://www.zhibit.org/image/1ba28882-026a7871dc-42f0c202-t-2/Sulbasutram-Toys.jpg) | | An interesting variation on Montessori's "Trinomial Square"?
Links to: Gallery Blog Downloads available here!
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![Kite & Dart Kite & Dart](https://www.zhibit.org/image/d2d9e999-050377b6cd-42f0c202-t-2/Kite-Dart.jpg) | | I would like to get the pieces made as ceramic tiles - infinite variations over any size surface!
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![Holiday Card! Holiday Card!](https://www.zhibit.org/image/0504c93b-075302a253-42f0c202-t-2/Holiday-Card.png) | | Here are some ideas for games you can play with your Holiday Card - just In case you have any idle moments!
Download my Holiday Card here!
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![Color Exercise = Beach Britches Color Exercise = Beach Britches](https://www.zhibit.org/image/e41c3e44-05f90557ec-42f0c202-t-5/Color-Exercise-Beach-Britches.jpg) | | Complementary Colors &The Three Planes of Space. A color exercise developed!
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![P.S.T. Trunks P.S.T. Trunks](https://www.zhibit.org/image/89423138-01abb4b17a-42f0c202-t-5/P-S-T-Trunks.png) | | Primary : Secondary : Tertiary A second series of Beach Britches that really allowed me to "Play with Color"!
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![Ba Gua Ba Gua](https://www.zhibit.org/image/cfd8371b-07483861df-42f0c202-t-4/Ba-Gua.jpg) | | I Ching paintings in arrangement |
![I Ching I Ching](https://www.zhibit.org/image/7175f9d4-06fafdca12-42f0c202-t-2/I-Ching.jpg) | | No matter where you are starting from, three simple choices are enough to get you anywhere else. . The I-Ching presents logical permutation pictures of the flow of movement through a sequence of successive binary choices.
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![David Hume David Hume](https://www.zhibit.org/image/e3213549-0503839668-42f0c202-t-3/David-Hume.jpg) | | Experience:Idea:Belief
or
Eternal:Ephemeral, Intelligent:Unintelligible
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![Logical Rainbows Logical Rainbows](https://www.zhibit.org/image/213bcd15-043914a568-42f0c202-t-2/Logical-Rainbows.jpg) | | 10 items |
![Ink Pencils Ink Pencils](https://www.zhibit.org/image/617f1d40-0269a950c0-42f0c202-t-2/Ink-Pencils.jpg) | | Derwent "Inktense" solid ink pencils.
Brought these for geometry mostly.
Very nice so far! |
![Primaries, Secondaries, Tertiaries & . . . Primaries, Secondaries, Tertiaries & . . .](https://www.zhibit.org/image/7f3d533c-0029941427-42f0c202-t-2/Primaries-Secondaries-Tertiaries.jpg) | | 18 items |
![Budgerigar Budgerigar](https://www.zhibit.org/image/be0766d6-00471bc303-42f0c202-t-2/Budgerigar.jpg) | | Budgerigar Colorways
Inspired by Spangles!
n.b. As there are no green feathers on a budgie - neither is there green paint in these paintings! |
![Opposition & Reconciliation Opposition & Reconciliation](https://www.zhibit.org/image/c6bf45c8-050366463f-42f0c202-t-6/Opposition-Reconciliation.jpg) | | More Six Color Exercises
Maximum Contrast : Maximum Blend
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![Color Exercises - Six Color Color Exercises - Six Color](https://www.zhibit.org/image/a455b232-05035e30e5-42f0c202-t-7/Color-Exercises-Six-Color.jpg) | | All the permutations: Primaries, Secondaries, Black &White
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![Color Exercises - CMYK Color Exercises - CMYK](https://www.zhibit.org/image/10c7e049-05037f2c5f-42f0c202-t-2/Color-Exercises-CMYK.jpg) | | I gots me some paints with my "retirement money"! (I'm twice the age I was when I last had some gouache!)
Here's some first steps towards building a vocabulary - starting with two and three color paintings (with black and white)
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![Contrasting Colors Contrasting Colors](https://www.zhibit.org/image/69a2764c-063f6ead79-42f0c202-t-2/Contrasting-Colors.jpg) | | 23 items |
Blog
New Squares On The Block!Using Triangles to construct Squares gives an extra layer of possibilities
(before resorting to addition and subtraction = Sulbasutrum 50 & 51).Geometer's Notebook
Miscellaneous Geometrical Explorations
Secrets of the Pyramids!
Two versions of constructing a pyramid inside a cube.
Work in progress!
Obsolete Squares Retirement Home
I really like this "Irrational Building Blocks" project, but as I progress I increase my vocabulary and technique to the extent that first (and subsequent) drafts need updating. As each of these includes a thought process and may even offer a "path not taken" I wanted to offer them a retirement space rather than simply consign them to oblivion!
Golden Sections & Square Roots
Exploring the construction of squares whose roots are not whole numbers.