Category Archives: Geometry

Q: How would the universe be different if π = 3?

Physicist: We sometimes get questions about physical constants changing, and those questions make sense because there’s no real reason for the constants to be what they are.  But π is mathematically derivable; it kinda needs to be what it is.  You … Continue reading

Posted in -- By the Mathematician, -- By the Physicist, Geometry, Math, Philosophical, Physics | 45 Comments

Q: How are fractals made?

Physicist: There are a lot of ways. A fractal is just a structure that stays interesting no matter how far you zoom in.  More than that, generally you can’t tell how far you’ve zoomed in (it looks the same at … Continue reading

Posted in -- By the Physicist, Geometry, Math | 9 Comments

Q: Why does light choose the “path of least time”?

Physicist: Light travels at different speeds in different materials.  When you shine a beam of light from one material into another (like from air to water) it bends in such a way that the path it takes from one point … Continue reading

Posted in -- By the Physicist, Equations, Geometry, Logic, Physics | 27 Comments

Q: How does reflection work?

The original question was: How does reflection work (what happens on the reflective surface), why is the angle of incidence equal to the angle of reflection and can this be viewed both from particle and wave point of view? Physicist: … Continue reading

Posted in -- By the Physicist, Geometry, Philosophical, Physics | 2 Comments

Q: How can we have any idea what a 4D hypercube or any n-D object “looks like”? What is the process of developing a picture of a higher dimensional object?

Physicist: Math.  Math all over. A picture of a 3D object is a “projection” of that object onto a 2D page.  Projection to an artist means taking a picture or drawing a picture.  To a mathematician it means keeping some … Continue reading

Posted in -- By the Physicist, Geometry, Math, Philosophical | 24 Comments

Q: If you suddenly replaced all the water drops in a rainbow with same-sized spheres of polished diamond, what would happen to the rainbow? How do you calculate the size of a rainbow?

Physicist: A normal rainbow is created when light enters a water droplet, bounces once off of the far side, and comes back out. Diamond “droplets” however don’t make rainbows.  In order to get a rainbow that exists, and isn’t in … Continue reading

Posted in -- By the Physicist, Equations, Geometry, Physics | 4 Comments