Logarithmic spiral
Drag the red dot.
Can you figure out what happens to the red number as it loops around the spiral?
(When you've had enough of that, click the checkbox in the bottom right and read on below.)
With the checkbox checked...
Click the × button to multiply the red and blue numbers.
How does the position of the purple number (the result) relate to the positions of the red and blue numbers?
Some suggestions...
- Set the blue number to 10. Perform any multiplication, so that the purple number shows. Then drag the red dot to calculate multiples of 10 (1×10, 2×10, etc.). In general, where is 10 times a number located on the spiral?
- Do similar for multiples of 2. (Or multiples of any number.)
- Calculate 2×0.5. Then 4×0.25. In general, where is the reciprocal of a number located on the spiral?
- What's the smallest purple number you can find?
- Where is 0 on the spiral?