How Grids and Patterns Work Together

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Patterns and grids need to work together in order to create geometric compositions. Understanding how they can work together creatively forms the foundation for most of the complex, innovative and beautiful compositions.
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[@schetnikov]

Eric, your explanation is very good, for it shows how the thought works. The thought is what we need to see when we look at some pattern.

[@SydMountaineer]

Thank You, Eric - you explain this in the most effective ways, it allows people to truly understand, so that we can create our own, unique designs.

[@Connect600]

Islamic geometric patterns are so intricate and beautiful I've seen this in fes and in the mosque hassan two and many other buildings and wood trim in Morocco

[@SuperStargazer666]

Fascinating. I had no idea that the complexity of the designs was overlaid onto a simple grid.

[@jeffharmed1616]

A very enlightening study which should go a long way towards deciphering old mozaics and constructing new ones, thank you. I would like to point out that the grid you put up for the Alhambra Patio de los Arrayanes is a gross simplification which does not account for the small golden five-pointed stars that overlap the grid at every intersection of the 4 principal sectors you identified, making it impossible to construct the whole mosaic from your model. There is something else going on, much more complicated than that.

[@gabrielleauguste5946]

EN REGARDANT CES DESSINS FRACTALS ,CELA VOUS DONNE LA DIMENSION DE L'UNIVERS. DU RAYONNEMENT DE L'ÊTRE DIVIN UNIVERSEL.

[@msaeedakhter]

Excellent explained.

[@johnbosco1391]

Realy Amazing

[@BHAKTIBROPHY]

I just watched this again. Learn something new every time I watch. I was wondering: When you create your own pieces from scratch, do you simply start with a point on a piece of paper and then create, for example, the hexagons with a compass and straight edge, and then continue to create that same design over and over with a compass and straight edge? Or do you place a grid that outlines the patterns that will tesselate underneath the paper before you start drawing? The reason I ask is because when I use a compass and straight edge, I have a difficult time getting everything lined up perfectly. My compass always seems to be off by a tiny bit. (I do check the compass radius often with a ruler, and I've tried several compasses.) I have it in my head that if I start with a grid that's cheating. (Ahh...the mind!) Thank you kindly for any insights, Eric.

[@ficheye00]

I think if you look at the final products they are not always perfect...

[@khad96]

nice thanks you Eric

[@BHAKTIBROPHY]

Your book is indispensable. Thanks again for sharing your wisdom! :)

[@EricBroug]

Thank you Bhakti, very kind :-)

[@muskduh]

Thanks for the video!

[@elouahabisaid6573]

Nice

[@stephenbell2972]

What are the angles and relative edge lengths of the dark brown quadrilateral in the grid? Six of them apparently fit round a point to form a star (suggesting 60 degrees) but the abutment to the octagon suggests 112.5 for the obtuse angle.

[@stephenbell2972]

Got it (I think): angles 60, 75, 112.5 and 112.5. The hexagonal element of the grid is then 2x75, 2x135 and 2x150 angles, with equal angles at opposite corners. This means the hexagon has a "handedness" according to whether the sequence of angles runs 150, 75, 135, 150, 75, 135 clockwise or anticlockwise. Both left and right-handed forms are present in the grid. Having made the hexagon at one place in the design, I tried to rotate it around a corner of the octagon to the complementary place and it didn't fit; I had to 'flip' it, which involves thinking outside the plane :)

[@abroudesmat7715]

Beautiful

[@SamdGG]

How did you create the digital artwork?

[@EricBroug]

On a CAD program and Adobe Illustrator

[@SamdGG]

Eric Broug thanks

[@rildodosreis7332]

Lindo

[@dlwatib]

@ 12:36 the "grid" is not so much a true grid as it is a contrasting pattern. The patterns are actually controlled by the facets of the niche.

[@jwampt]

Thanks Eric! Awesome video! Loved the course! Highly recommend this database for inspiration: www.tilingsearch.org www.tilingsearch.org/cgi-bin/findr.py

[@hopepoemshm8682]

this comes from Marrakesh

[@sabahadnan9060]

انه الزليج المغربي

[@spatialanomaly3708]

Although quite elegant, the grid method that is illustrated here is not the correct way to form these patterns. When using the grid style the patterns are not considered "sterile". The traditional method is the correct way to do it, simple and elegant.

[@EricBroug]

Sterile?

[@EricBroug]

I'm suspicious of teachers who tell you what is correct and not correct. It's dogmatic. Students should be empowered to make up their own minds.