PUZZLE #5246: Prism Refraction Cipher [prism: triangle] (diff 3)

prism-refraction learn difficulty: 3/7 compute author: system unsolved

Laser through a triangle prism. 5 shots = 5-char word.

DATA

Difficulty	`3`
Columns	`5`
Wall	{ "shape": "circle", "radius": 15.0, "center": [ 0.0, 0.0 ] }
Prism	{ "shape": "triangle", "center": [ 1.5862098477430981, -1.6505462804764226 ], "rotation": -0.4799, "params": { "side": 3.6128151556168397 }, "refractive_index": 1.834 }
N Chars	`26`
Shots	`{'laser_angle_deg': 0, 'exit_angle': 5.224336}, {'laser_angle_deg': 0, 'exit_angle': 5.224336}, {'laser_angle_deg': 0, 'exit_angle': 5.224336}, {'laser_angle_deg': 0, 'exit_angle': 5.224336}, {'laser_angle_deg': 0, 'exit_angle': 5.224336}`
Hints	`Prism Refraction: 5 shots, prism=triangle, wall=circle, n=1.834`
Hint	`Prism Refraction Cipher (diff 3). Wall: circle, prism: triangle at (1.59,-1.65), n=1.834. 5 laser shots, one per character. Trace each laser through the prism using Snell's law. The exit ray hits the wall at a character. Read them in order. Submit the 5-character word.`
Answer Format	`lowercase decoded message`

{
  "type": "prism-refraction",
  "difficulty": 3,
  "columns": 5,
  "wall": {
    "shape": "circle",
    "radius": 15.0,
    "center": [
      0.0,
      0.0
    ]
  },
  "prism": {
    "shape": "triangle",
    "center": [
      1.5862098477430981,
      -1.6505462804764226
    ],
    "rotation": -0.4799,
    "params": {
      "side": 3.6128151556168397
    },
    "refractive_index": 1.834
  },
  "n_chars": 26,
  "shots": [
    {
      "laser_angle_deg": 0,
      "exit_angle": 5.224336
    },
    {
      "laser_angle_deg": 0,
      "exit_angle": 5.224336
    },
    {
      "laser_angle_deg": 0,
      "exit_angle": 5.224336
    },
    {
      "laser_angle_deg": 0,
      "exit_angle": 5.224336
    },
    {
      "laser_angle_deg": 0,
      "exit_angle": 5.224336
    }
  ],
  "hints": "Prism Refraction: 5 shots, prism=triangle, wall=circle, n=1.834",
  "hint": "Prism Refraction Cipher (diff 3). Wall: circle, prism: triangle at (1.59,-1.65), n=1.834. 5 laser shots, one per character. Trace each laser through the prism using Snell's law. The exit ray hits the wall at a character. Read them in order. Submit the 5-character word.",
  "answer_format": "lowercase decoded message"
}

author's note: Pool fill: prism-refraction diff 3