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"Root of Tree" kirigami version (fractal binary tree)

design: Alessandro Beber, Oct. 2019

fold: Alessandro Beber, Oct.-Nov. 2019

paper: one single 1:√3 (bronze) rectangle of 80gsm Canson tracing paper, cut out from an A4 sheet

 

Here are some examples of my recent kirigami fractal. It was first designed from a 1:√3 rectangle with the last CDO @origamicdo contest in mind, but being a kirigami (using folds and CUTS!) it could not be accepted. You can see a modular origami version in the previous post.

Anyway, I'm very proud of this design, as it is a REAL single-sheet origami/kirigami fractal, ie. the process itself is a fractal. It means that infinity could be reached with a single, finite sheet!! (Modular approaches require adding more paper to reach the next level)

The construction is very simple, just few folds and one cut, which can be repeated in more places (2x) and smaller scale (1/2) at each step. Each step consists of creasing both diagonals and the horizontal middle line, halfway cutting the sheet in half vertically, and pleat fold the two flaps using angle bisectors, obtaining one triangle with two flaps, both similar to the original sheet, on which you can repeat the process ad infinitum...

Moreover, the process is quite independent from the proportions of the sheet, as you can see from the pictures. It can be made from any kind of rectangle, eventually adding a couple more folds to hide some excess paper appearing when the rectangle is too long (vertically) or placed horizontally.

Try it!

The trees in Plaza San Martin Buenos Aires form interesting patterns based on phenomenon is known as "crown shyness".

Managed to capture this amazing looking tree I pass on the way to work before it lost all its leaves.

Just a tree spoted when I was looking for a place to shoot nearby river view.

Analogue. Shot with Canon EOS5, Sigma 35/1.4A, Kodak T-Max 400 dev. D-76 1+1. Film scanned with a dslr

Like a fairy tale, a beautiful day with exceptional light.

A society grows great when old men plant trees whose shade they know they shall never sit in."

---Greek Proverb

This is a male Red Mason Bee. I watched a female build nests in the same tree, so I'll see her offspring next year.

 

Tech Specs: Canon 70D (F16, 1/250, ISO 100) + a Canon MP-E 65mm macro lens (about 1.5x) + a diffused MT-24EX (-2/3 FEC). This is a single, uncropped, frame taken hand held.

 

Technique: I had to camp out in front of this tree, early in the morning, for quite some time before the little guy got use to me and the camera. We played a lot of "Bee-Ka-Boo".

Sweltering hot Sunday afternoon. Invitation ( very welcome! ) to Art & Garden at this amazing sprawling "thinking-out-the-box" garden cum river cum forest. That's where the "buts" come in. The world and his wife all liked the idea, too. Lovely sleepy tucked-away village..so nowhere to park. Managed it eventually. Longish walk. Ok going hill but not so good trekking back up. Wandering and chatting was a joy..plants for sale..painted silk acrves, jewellery, sculpture..tea and cakes.. and further out..a rope bridge across the river and long snaking steel steps and rails zig zagging up high bankings taking me out of the sunlight into high rise dappled woodland..and ..whoaaa, suddenly, as the path lightened..this fantastic tree house, weathered and "right" amongst the trees. How could I not stop and draw. Total peace at the start..then zillions of equally eye-dazzled familes oohing and aaahing and banging into me as I blocked their path. Gave up at the end..but was very happy!!!

Dead trees and shallow muddy water create the look of a haunted swamp, that is actually is a short little creek fork on Eagle Mountain Lake in Shady Grove Park,in Azle, Texas.

Victoria Rd, Kennedy Town, Hong Kong

A goat climbing a centuries-old olive tree

A Glasgow City centre tree

Long walk among trees can bring inner peace.

The best cliche I've ever taken

this field of barley has at least 3 trees left in it, for which i am grateful to the farmer, as it allows a good focal point at any given time of the year!!

Tree swallows seem to have a disagreement at the Heinz NWR.

Botanic Gardens, Queenstown. New Zealand

 

II Instagram II

How old do you think this tree is?

I didn't know what to title this sketch. Of course it's of an extremely large (and 99% dead) chestnut tree on my property at the lake. Its so big that I couldn't fit it all on my page without loosing a lot of detail, so I began the sketch at mid-point. I thought of calling it 'Almost dead giant' but that was too gloomy. I also thought of calling it 'Hummingbird perch' because a tiny ruby throated hummingbird would perch itself on the same branch day-after-day for about a month. That title was too obscure. Finally, I ended up with the title above. Although the tree may be dead, it certainly attracts a lot of life - woodpeckers and nuthatches, squirrels and chipmunks, and tinier creatures. Unfortunately, large dead branches have been falling around the cottage lately and I fear that I'll have to remove it before long. Pity, it's so majestic.

 

Je ne savais pas comment appeler cette esquisse. Bien sûr, il est d'une très grande (et à 99 p.c. morte) noyer sur ma propriété au bord du lac. C'est tellement grand que je ne pouvais pas tout l'inclure sur ma page sans perdre beaucoup de détails, donc j'ai commencé l'esquisse à mi-parcours. Je pensais l'appeler « Géant prèsque mort», mais c'était trop mélancolique. Je pensais aussi de l'appeler " Perche de colibri», car un Colibri à rouge gorge minuscule se perchait sur la même branche jour après jour pendant environ un mois. Ce titre était trop obscure. Enfin, je me suis retrouvé avec le titre ci-dessus. Bien que l'arbre est peut-être mort, il attire certainement beaucoup de la vie - les pics-bois et sittelles, les écureuils et les suisses, et des créatures plus minuscules. Malheureusement, les grosses branches mortes ont tombé autour du chalet ces derniers temps et je crains que je vais avoir à l'enlever avant longtemps. Dommage, il est si majestueux.

 

Our house in the snow. We lost some major limbs from the live oak on the left. It used to be much taller, but at least it survived, and didn't bring the porch crashing down!

Today on Hampstead Heath playing with shadows in the low november sun the weather is cold my shadow touches the tree its all I need for inspiration. Maybe I am a tree whisperer who knows.

www.thetreewhisperer.com/

Bark textures on a tree in Manly Dam.

Five egrets roosting for the night. We saw a total of eight egrets and one heron settling in for the evening.

Horse Chestnut trees in my garden on a beautiful bright May spring morning

Todays image is of a lone tree I photographed earlier this year down in Kent using ICM.

The tree lupin or bush lupin has whorls of yellow flowers on an hairy elongated spike that can be up to 2m tall. It is particularly common on light, sandy soil's, such as Berrow Dunes in Somerset. Tree Lupins bloom from May to August and are generally at their best from mid June to the end of July.

 

Photographer's notes. This is an imposing plant. I chose to focus on the softer petals and contrast this with a darker background rather than the unattractive and coarse spike. f10, 1/125th of a second , ISO 200.

While walking through Hamburg in the last summerish day.

Tree pipit, Trädpiplärka

Tree tracks…perhaps

That’s all we are

Grains of sand

Twinkling stars

To be…..to love…..

To know the sun…..

And fade happily

When we are done

 

All photography & textured effects by Hal Halli.

All Rights Reserved. © Hal Halli (2013)

Please contact regarding usage permission. Thank you.

 

Black & White Tree Nymph Butterfly, taken at Butterfly World in Edinburgh on Canon 6D with Tamron 70-300mm lens.

I thought this was a strikingly handsome pair of tree swallows. They were investigating nest boxes at the lake early yesterday morning. However in this particular picture they are perched on an old abandon duck box.

Manipulation using Paintshop Pro

The sun just coming up with a tree view towards Captain Cooks

Tree Branching Pattern and Crown Architecture

 

The way tree branches form or split, follow the Fibonacci sequence. A main trunk will grow until it produces a branch, which creates two growth points. Then, one of the new stems branches into two, while the other one lies dormant. This pattern of branching is repeated for each of the new stems.

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