Beer Pong Rack Layout Generator

Normalizedequilateraltriangularcuprackcenters,unitspacing,no drinkingrequirements or tableplacement safety. Boundedoffline arithmetic/sampling only;not gambling advice,fair physical randomness,secure randomness or predictive certainty.

Description

A triangular cup rack consists of successively longer rows with equal nearest-neighbor spacing.

A triangular cup rack consists of successively longer rows with equal nearest-neighbor spacing.^[1]

This tool returns ideal center coordinates for a game layout, with no requirement to use alcohol.

When to use Beer Pong Rack Layout Generator

Use this tool to apply the stated beer pong rack layout generator operation with an explicit input and unit basis.

How to use Beer Pong Rack Layout Generator and how it works

Establish the text or game convention described above.
Enter actualTriangularRackRows and run the tool.
Read result.cupCenters using the output meanings below.
If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.

Input field	Meaning	Value type	Requirement
actualTriangularRackRows	Triangular Rack Rows. Units, ordering and applicable branch are specified in the algorithm.	number	required; finite; integer from 1 to 10; further conditions in the algorithm

Require integer row count 1–10. For zero-based row r, emit r+1 cup centers with x=c−r/2 and y=r√3/2 for c=0 through r. Coordinates use a unit center spacing and omit cup diameter or table clearance.

center(r,c) = (c−r/2, r√3/2); total centers = n(n+1)/2

Apply the declared units, ordering and branch conditions.

Output field	Meaning	Value type
result	Object containing the declared output fields.	object
result.cupCenters	Pairs [x,y] in unit center spacing, ordered by row then left to right.	array

json

{
  "input": {
    "actualTriangularRackRows": 3
  },
  "output": {
    "result": {
      "cupCenters": [
        [
          0,
          0
        ],
        [
          -0.5,
          0.8660254037844386
        ],
        [
          0.5,
          0.8660254037844386
        ],
        [
          -1,
          1.7320508075688772
        ],
        [
          0,
          1.7320508075688772
        ],
        [
          1,
          1.7320508075688772
        ]
      ]
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Drinking Game Rule Generator. A party game can use actions and verbal prompts without requiring alcohol.

For a related operation, use Charades Word Generator. Charades prompts describe actions that players can mime for others to guess.

References

Beer Pong Rack Layout Generator — tool.io

Similar or alternative tools

Drinking Game Rule Generator
A party game can use actions and verbal prompts without requiring alcohol.
Charades Word Generator
Charades prompts describe actions that players can mime for others to guess.