Cat Highways · Chapter 2

How High, How Far

Count the rises, then add one. Five gaps between six steps.

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Opens on the book's own cat and wall. Change any number to your own and press Calculate.

The climb

The room

Enter the climb and press Calculate.

The formula

  • Steps = (top − first) ÷ rise + 1. If the rises do not come out whole, round them down so the top stays under the ceiling
  • Highest top = ceiling − the headroom you keep. Headroom = ceiling − top step
  • In a zigzag, a step's neighbor above is two rises up: clear = 2 × rise − board thickness
  • Hop = √(spacing² + rise²); angle = arctan(rise ÷ spacing). Landing speed = √(2 × 9.81 × drop in m)
The book's worked example, Chapter 2. The book climbs from 450 mm to 1,950 mm at a 300 mm rise: (1,950 − 450) ÷ 300 = 5, + 1 = 6 steps and 12 brackets. Under the 8 ft ceiling that leaves 488.4 mm of headroom. The hop across the zigzag is 505.13 mm at 36.43°, and a cat hopping down one rise lands at 2.43 m/s.

Retailers suggest 12 to 18 in (30 to 46 cm) between steps for an adult cat and 8 to 12 in (20 to 30 cm) for a senior. Go gentler for a kitten, a senior or a heavy cat, and add steps rather than stretching the rise. Metric first, imperial beside it. Prices are illustrative US home-center prices from November 2026, shown without a currency sign; put in your own. Everything stays in your browser: no sign-up, nothing stored.