Flower sculpture "Blooms" to be animated when rotated at high speed

If you rotate a sculpture in the shape of a flower with a tremendous speed of 550 rpm in one minute, the movie that the petal moves like an animation "BLOOMS: Strobe Animated Sculptures Invented by John Edmark"Is a work of John Edmark, a design lecturer at Stanford University. The sculpture is made with a 3D printer and it is realized with geometrically meaningful numbers to make animation possible.

Blooms: Phi-Based Strobe Animated Sculptures: 6 Steps (with Pictures)
http://www.instructables.com/id/Blooming-Zoetrope-Sculptures/

BLOOMS: Strobe Animated Sculptures Invented by John Edmark on Vimeo


It is the sculpture like the chrysanthemum flower that first appears. As you rotate, the petals move from the top to the bottom.



When changing to the angle from above, the petal moves from the center to the outside.



Next is a cactus like sphere. A thorn moves like a sinuous.


Geometric hemisphere made of complex planes. In a mysterious state that each part with a flat surface turns.


A sculpture shaped like a snake wrapped a tuna also appeared. The donut-shaped mesh at the top and bottom row moves from top to bottom, and the net at the middle step moves from bottom to top.


The image is said to animate like if you shoot a video with 24 FPS, setting the shutter speed to 1/4000 seconds, rotating the sculpture 550 per minute. Since the rotation speed moves about 137.5 degrees per frame in synchronization with the camera frame rate, it seems that such an animation can be realized.

Below is a model of a petal model created by arranging panels side by side, petals are arranged at intervals of 137.5 degrees from the center to the outside, and they grow larger towards the outside. 137.5 degrees isGolden HornIt is said that sunflower seeds are arranged according to this golden angle, and that many species can be evenly densed.


Golden horn isFibonacci sequenceIt is strongly related to ... ....


When counting the lines going out clockwise from the center 8.


If you count the lines going out counterclockwise from the center, it becomes 13 and it becomes the number next to the Fibonacci sequence.


Make the shape as former panel ... ...


Likewise, stacking panels of the same shape and different sizes will result in the following image.


As you rotate by 137.5 degrees in order from the top ... ...


It will be like a petal.


In other words, natural flowers are often attached with petals at golden horn, so if you are a flower shaped like a sculpture, you will animate the petals to move from the top to the bottom if you rotate it. You can see how animation will look when you see the movie below.

Strobe-Animated Artichoke-a Naturally Occuring "bloom" - YouTube


By the way, the moving sculpture movie was taken at 550 rpm in one minute, but it is said that it is shooting at 340 rpm exactly. Rotating 85 degrees per frame makes it look like an animation. Rotating at 85 degrees is equivalent to rotating 275 degrees twice as much as 137.5 degrees per frame, which means animation that appears to move two times faster than rotating at golden angle.

In addition, sculptures that produce animation when rotated are sold and can be purchased at the following site.

John Edmark by edmark - Shapeways Shops
https://www.shapeways.com/shops/edmark