The numbers
| Curve | Handle fraction f | Superellipse exponent n |
|---|---|---|
| Circle | 0.552 | 2.00 |
| Katagami Text | 0.59 | 2.13 |
| Katagami Round | 0.69 | 2.43 |
| Katagami Sans | 0.73 | 2.62 |
A larger f reaches further toward the corner and reads as squarer. The exponent n of the superellipse with the same reach is n = -1 / log2(0.375 f + 0.5).
How Katagami squares a bowl
The build moves each curve's handles toward the corner by a share of the remaining distance. In Katagami Sans the share is 0.36 in capitals and 0.32 in lowercase. The build also condenses round letters, so the squared corners carry the area that the narrower width removes. The Curves table on the home page measures f from the outlines in your browser.