MANDALA MATH and ART!

MAGICAL MANDALAS

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mandala animation!

MANDALA 8sym gif

Mon. & Tues. the 5th graders made mandalas. They were fired up by the idea of incorporating CD’s. After a slide presentation and discussion of the procedure (complete the planning sheet, find your lines of symmetry, sketch in pencil, color in the paper portion and, finally, the CD),

Giulia demonstrated her characteristic enthusiasm & creativity.

Matthia coordinated his with a complementary gem!

Haylah improvised a mechanism for making hers spin!

Stars and lotus were common themes,

as were geometric patterns.

Still others took a more fluid approach.

Mandala QR Gallery

Install the Aurasma app onto your smart device.  In Aurasma search for ‘jtankel.’ Click ‘Follow’, then the viewfinder icon on the bottom of the screen. Scan the mandalas below to reveal…magic!

           star mandala                         b

    cuadros-mandalas-para-pintar                               9281b12f14a0087e339502d1e48c5d5f

Mandala

Coloring-pages-of-patterns                            mandala-semplice-simmetria_2

Resources:

Planning sheet:

Slide Presentation Highlights:

Bilateral Symmetry

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Lincolnsymmetry_WEB

Image result for multiple lines of symmetry

reflav         reflbh

http://gwydir.demon.co.uk/jo/symmetry/symm.htm

http://gwydir.demon.co.uk/jo/symmetry/refsym.htm

MANDALA 8sym gif

Click HERE for on-line resource on symmetry.

http://www.next.cc/journey/language/symmetry

Translational Symmetry

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Glide Symmetry

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Rotational Symmetry

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Radial Symmetry

lotus new-moon-mandala-10-18-06

Mystical-Arts-of-Tibet-Monk-with-Outline-of-Mandala.

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http://www.pearltrees.com/t/fibonacci-sacred-geometry/id3050894#item71829342

 Click HERE for Interactive Mandala.

    http://www.light-weaver.com/mandalas/moving-mandalas-1
Kaleidoscopic images, like mandalas, have multiple symmetries. Because they are constructed with mirrors, they have multiple reflected symmetries. And because the mirrors are attached point-to-point, they form radial or rotational symmetry as well. Mandalas have eight-sided, radial symmetry because Buddhists believe there are 8 pathways to Nirvana or Enlightenment, and so, eight is a very significant and auspicious number.

Buddhist symbols-ancient-symbols

This symmetry reflects the order and balance of the universe, from the tiniest particle or organism to the universe itself. In Tibetan Buddhism, God is the Geometer of the universe and as such, sacred geometry ascribes symbolic and sacred meaning to certain geometric shapes and proportions. When things are asymmetrical or irregular, they do not fit as neatly into the perfect puzzle of molecular structure or of the universe.  Which is not to say that asymmetry doesn’t have it’s own special place in nature and the universe.
Resource: https://www.geometrycode.com/sacred-geometry/

med_radial_dryas            sym zebra

While mandalas have 8-sided symmetry, kaleidoscopes (and snowflakes) have 6-sided symmetry. Why? Because most kaleidoscopes are configured with 3 mirrors reflecting off one another. And the physical conditions under which snowflakes form reflect the physical laws of nature. It is, simply, what happens when atmospheric conditions (temperature and humidity) combine to create crystals. The snowflake is a visual representation of it’s own molecular structure!

kaleidoscope1

molecules

 Click link for INTERACTIVE Kaleidoscope.
http://permadi.com/java/spaint/spaint.html

Taking it 3D! Platonic Solids Resources

https://www.uwgb.edu/dutchs/symmetry/unipol1.htm

photo        MANDALA 3D

                                                                    Paper Models
                                                                       http://www.korthalsaltes.com/                                                    http://xploreandxpress.blogspot.com/2011/04/fun-with-mathematics-archimedian-solids.html                                                                                                                         https://isotropic.org/polyhedra/                                                                                                                                          http://www.cool-coloring-pages.com/paper-models-of-polyhedra/

mobile

http://fortran.orpheusweb.co.uk/Models/mobile.pdf

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