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# Doodling in math: Dragon scales

Created by Vi Hart.

## Want to join the conversation?

• I didn't understand when Vi said that there is no flat surface on the triangle, but there is, the area to the left and right of the next iteration of the triangle edges. If you did the fractal cover all of the last sides of the triangle on each side, it would switch between being a upside-down triangle with the downward tip cut off and a normal triangle. Is this a strange infinity paradox? Please help me understand.
• What is 1D, 5D, 6D, 7D and 8D? well I do know what's 2D 3D and 4D.
• has anyone ever counted to infinity?
(1 vote)
• I got to about 1000 when I had trouble sleeping as a kid.
• Isn't it secretly ironic that she was wishing for a way to solve her 'stuff' problem when it was logarithms the whole time? Did she do this on purpose?
Wistful quote: 'If only there were a way to figure that out'...
• Vi always does these kinds of things purposefully. She's a mathematician, and she knows logarithms well enough to know that that will solve her problem.
• im a new 7 grader i dont know that much it seems like high school to me
• Dragons are fabulous :) And they become even more so in math. Am I right?
• at she is basically explaining that some infinities are bigger than others correct?
• Yes, there are Infinities that are bigger than other infinities. It's weird, but weird things are sometimes REALLY cool. In my opinion. :)
• why is a 4D cube represented as a cube within a cube? how does that logic work?
• The "cube within a cube" representation is like the shadow of the true 4D cube. 3D objects cast 2D shadows; a 3D cube might have the shadow of a square, rectangle, or maybe something else depending on the angle. 4D objects cast 3D shadows; the cube within a cube is actually the shadow of the true 4D cube from a particular angle. Here is an animation that shows the shadow changing shape as the 4D cube rotates.
https://commons.wikimedia.org/wiki/File:8-cell.gif
Hope this helped!
(1 vote)
• how do u keep ur lines so straight and your circles so perfect? ur very awesome and I watch all your videos they inspire me