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George Hart
Приєднався 9 вер 2011
George Hart shows that math is cool.
My Website: georgehart.com
My Website: georgehart.com
Hyperboloids
Two new ways to make a hyperboloid. See georgehart.com/hyperboloids/paper.pdf For the templates, download georgehart.com/hyperboloids/slats.pdf and georgehart.com/hyperboloids/triangles.pdf
Переглядів: 2 795
Відео
The Joy of Polar Zonohedra
Переглядів 2,6 тис.2 роки тому
This is a Zoom recording of my talk at the 2021 Bridges Conference. The published paper is here: archive.bridgesmathart.org/2021/bridges2021-7.html
The Sharpohedron
Переглядів 3,1 тис.3 роки тому
An elegant polyhedron, invented by Abraham Sharp in the 1600's, is illustrated with wood, paper, and 3D-printed models. See: georgehart.com/sharp/ george.hart.sculptor
Little Zonohedral Library
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Some geometric ideas for generating surfaces with parallelograms are explained and applied to the construction of a little library, illustrating how procedural thinking can inform mathematical architecture on a small scale. Dedicated to the memories of Russell Towle and Rob Bell, who gave so generously in sharing their passions for geometry.
Warped-Grid Jigsaw Puzzles
Переглядів 9 тис.4 роки тому
A new family of laser-cut jigsaw puzzles based on warped grids. Here are links to some of my inspirations: Victor Vasareli, en.wikipedia.org/wiki/Victor_Vasarely Kenneth Libbrecht, www.snowcrystals.com/ Ernst Haeckel, en.wikipedia.org/wiki/Ernst_Haeckel Pablo Picasso, www.pablopicasso.net/seven-ballerinas-i/ August Mobius, en.wikipedia.org/wiki/Möbius_transformation Bob Bosch, www.oberlin.edu/b...
Ceci n'est pas une lampe
Переглядів 2,7 тис.5 років тому
My latest sculpture is not a lamp. This is a model for a larger version I plan to make, which is currently AVAILABLE FOR SALE. If you are interested in purchasing the larger version, see georgehart.com/sculpture/lampe/lampe.html
Birdland
Переглядів 4,1 тис.7 років тому
This is a concept for a sculpture made of glass panels. Many details might change before it is completed...
SNO-Ball Sculpture Design Concept
Переглядів 2,9 тис.7 років тому
For the real thing, see georgehart.com/sculpture/SNO-Ball/SNO-Ball.html This is a sketch of a sculpture design for Queens University. It is inspired by work at the Sudbury Neutrino Observatory (SNO), for which Prof. Art McDonald recently won a Nobel Prize. He and his team showed that neutrinos generated in the sun can change flavor while traveling to the earth, which is important because it imp...
Three Lovely Structures
Переглядів 8 тис.7 років тому
Regular polylinks are beautiful structures which you can make from inexpensive sticks. See detailed instructions at MakingMathVisible.com
Champy
Переглядів 3,7 тис.7 років тому
A quick summary of some of the mathematical ideas underlying my sculpture "Champy". For more info, see georgehart.com/sculpture/Champy/champy.html
Clouds
Переглядів 3,5 тис.7 років тому
The design and construction of a large geometric sculpture two metal orbs, each five feet in diameter, in New York City. georgehart.com/sculpture/Clouds/clouds.html
Gymnastics
Переглядів 3,5 тис.7 років тому
A puzzle/sculpture made by laser-cutting flexible ABS plastic. There are twelve identical pieces to assemble and the result has tetrahedral symmetry. Thank you Harris Moore for providing the plastic sheets that inspired this.
Adding Color
Переглядів 4,4 тис.7 років тому
Some recent geometric sculptures I have made Sword Dance, D-Flat, Frabjic, Oxalis, and Anemone emphasizing experiments with color. Each is made from laser-cut Baltic birch plywood, stained, then assembled using cable ties. See georgehart.com
Solar Flair
Переглядів 4,3 тис.8 років тому
The making of a five-foot diameter stainless steel geometric sculpture. For more info, see georgehart.com
Another Giant Geometric Cardboard Construction
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Another Giant Geometric Cardboard Construction
How can one obtain a 3d model of one of these
You've done it again, so cool! Thanks for sharing.
In this video, I have learned that you can recycle anything, such as political signs, like in the video. By recycling, you are able to create mathematical models/art, to do something effective for our environment.
In this video, I have learned that you can recycle anything, such as political signs, like in the video. By recycling, you are able to create mathematical models/art, to do something effective for our environment.
In this video, I have learned that you can recycle anything, such as political signs, like in the video. By recycling, you are able to create mathematical models/art, to do something effective for our environment.
In this video, I have learned that you can recycle anything, such as political signs, like in the video. By recycling, you are able to create mathematical models/art, to do something effective for our environment.
Now I just need to understand why they’re called ruling lines?
AMAZING!! THNX
One million likes from india 🇮🇳
Is there a pattern that can be downloaded for this? I wanted to try this puzzle as well aside from the Whimsy. I love the starry effect of this one!
Good lord, it's 4 am and I don't know what rabbit hole led me here but I'm glad I made it. Now I have more things to research
Extremely informative and cool, George! Thank you.
Really appreciate this video, its really helped me impress my dad, who likes a spicy bagel
Amazing Video! Thank you for making this... Is there a software one can use to learn and play with these shapes?
Great Work :)
great analysis video.
How did you model it and in which software????
Nice dodecahedron
The legendary dad of Vi Hart.
Most of the comments here are ten years old. Is this place still in opperation?
Just looking at the thumbnail I was going to suggest using a scissor. But once I viewed the VID he did use a scissor to make a template then placed it on the deck then went to the band saw to cut the rest for this project. It has been said about Mr. Hart that "if you build it he will come". The hexahedron [cube] in the movie "Stargate" was one of the factors that started my interest in solid geometry. I have forgotten the others. Through the internet one can binge on geometry and other sciences, technologies, and woodworking and metals projects. The polyhedra I build are mostly from a mechanical spatial stand point, not mathematical. The only math I use is to divide a circle to use a simple drafting set to layout for patterns to build my objects/projects.
I discovered polyhedra around 1995, and I have revisited it sporadically over the years. There are three that I invariably keep coming back to and Mr. Hart is one of them. Some of the tricks that he has discovered are stunning. Like cutting slits in playing cards and other media. A suggestion that I have desired to have is for Mr. Hart to put his whole website distributed in PDF format, please. The others are: Father Magnus J. Wenninger OSB, and Gijs Korthals Altes.
I have to say: that’s a pretty nice video!
Magical creations
One of the best outro lines ever: "Thanks for the compliment."
And who doesn't like hyperboloids?
Keen craftiness! Would love to see them spinning fast (like a diabolo) from both the short side and long side perspective.
Another method I've seen in a museum somewhere. Imagine a pair of miniature wagon wheels with their axle arranged vertically. Have many small holes in the wheel rims with elastic cord between them taking the shortest vertical path. Twist one of the wheels relative to the other and watch the surface change from a cylinder to a hyperboloid.
Fed up? Find Hart where Math meets Craft. 🙂
Great work again, George! You have an amazing ability for turning the intangible, tangible.
Thank you!
Oh, what a pleasant surprise.
I would love to have a conversation with you about topology.
You can via the comments. However, the conversation might resemble a Möbius strip - in that it is a bit one-sided.
@@jacejunk that is an awesome comment haha 😄
@@jacejunk If you have split personalities, you can have a nice talk, all by yourself.
Wow! Thank You
I have just gotten access to a laser cutter, I am tempted to make the wood one. Not sure what I would do with it though.
Oooh! I'm excited! You make such cool stuff
Wake up babe new George Hart just dropped
Interesting that the four-fold spirallohedra is space-filling!
Thank you so much. This is the basics I needed to understand. I'm an artist and carpenter, but this kind of math is something I need to work at better. I will be building a Zone home very soon, my frustrations with the math might make me lose some hair, haha, but people you with very easily understandable teaching is such a huge help. Gracias! From the end of the world Ushuaia Argentina.
Excellent !
3:32 Why does all solder need flux? I must misunderstand what process is at play This video interests me more in the way he refers to the grits based on microns and stuff, it just indicates knowledge of all the processes going on, like would I think, "OK, it will be shiny when it is sanded such that the surface is smooth and consistent"? No, I'd probably look up how to get it shiny honestly.
Wow!!!
This is great! Is anyone aware of an online "calculator" to facilitate ease of discovering bevel angles for polar zonohedrons? (Or, perhaps a publication with instruction on the maths needed . . . ) Thanks!
These are really neat shapes, and thanks for sharing your sty files. I need to try out a zone tool
I hate when my corn does that
So satisfying
My head hurts
Word of advice toward anyone who is attempting to build this: (1) You can screenshot the template at 1:18 and then resize the image to the dimension of the playing card, place a tape over the screen, and blot two points to demarcate the lines using a felt marker. (2) When drawing the lines, you have to be very particular with the measurements. I noticed that even marginal tolerance will result in an unsymmetrical dodecahedron. This includes how long the line drawn is, along with position of the points used to draw the lines. (3) Assembly is quite challenging to begin with, but is probably more challenging if you use too sharp of an edge to make the cuts. This results in very little space for the cards to slide pass one another. In fact, the saw method in the video probably results in a wider cut making assembly less brutal.