Works with Claude, ChatGPT, Gemini, or your own local model: paste this prompt and your AI will co-facilitate this exercise with you.

Help me prepare and run the exercise below. First ask for my participant count, time, setting, access needs and intended result. Check these against the stated limits. Use the supplied rules and materials. Explain any proposed changes before using them, and label them as adaptations. Do not invent source claims or require personal disclosure. Give me one step at a time when I say start. I manage the people, physical activity and clock; do not claim to observe the room. Ask me what happened before choosing a next step.

Reference revision: 62f5dfc9203939634ba95885263318dc202845e70e021fe5de3b7bb2dea7cc6b

# Two By Four

Teams rearrange an alternating line of eight colored tokens into two solid color blocks of four. Every move transfers an adjacent pair into open slots without changing their order or rotating them.

**Time:** 20 minutes. Based on Playmeo source time band of 15 to 20 minutes.
**People:** 4 to 24. Subgroups of 3 to 6 participants working on tabletop tokens.

## Choose this exercise

**Purpose:** Test and refine a group problem-solving sequence under strict movement constraints.
**Use it when:** Use when small groups or table teams need a concrete logic puzzle to practice testing hypotheses, tracking failed attempts, and coordinating sequential steps.
**Skip it when:** Skip when the session goal requires open-ended creative brainstorming or when groups are frustrated by deductive trial-and-error puzzles.

## Materials and tools

- 8 tabletop tokens per subgroup (4 red tokens, 4 blue tokens, such as colored blocks, poker chips, or coins)
- 1 strip of paper per subgroup with 12 marked sequential spots to track slots and moves
- 1 pen and scratch pad per subgroup

## Before participants arrive

1. Place tokens, scratch pads, pens, and slot strips on each table.
2. Set tokens on spots 1 through 8 in alternating order (Red, Blue, Red, Blue, Red, Blue, Red, Blue), leaving spots 9 to 12 open.

## Say this to open

Your table has eight tokens set in an alternating line: Red, Blue, Red, Blue, four of each. Your goal is to rearrange them so all four reds sit together and all four blues sit together in a single unbroken block of eight. You must follow three rules: First, you only move adjacent pairs. Second, the two tokens in a pair cannot swap positions or rotate when moved. Third, moving a pair leaves empty slots where they came from, which you can fill later. The final pattern must have no gaps between tokens. Work with your table to solve it in the fewest moves possible.

## How to run it

### 1. Introduce the puzzle and rules (3 minutes)

Deliver the opening script. Demonstrate what constitutes a legal move using an arbitrary pair. Slide the pair from spots 5 and 6 together into empty spots 9 and 10, leaving spots 5 and 6 vacant. State clearly that this is purely an example of movement mechanics, not a suggested first step. Remind teams that pairs cannot reverse their relative order. Slide the tokens back to reset the line.

### 2. Subgroup testing and tracking (10 minutes)

Subgroups test move sequences using their tabletop tokens. One designated person per table records each move attempt on scratch paper. Teams reset to the starting alternating line whenever they reach an impasse. The facilitator circulates to ensure teams keep adjacent pairs intact and maintain their original left-to-right orientation.

### 3. Solution demonstration (4 minutes)

Stop subgroup testing. Invite a team that found a four-move sequence to demonstrate it step by step on a central table or call out the moves so every group can execute them simultaneously. If no group solved it completely, demonstrate the standard four-move sequence together so all tables reach completion.

### 4. Debrief and application (3 minutes)

Lead a brief whole-group discussion using two selected debrief questions. Take up to four verbal contributions from the room before concluding.


## Debrief questions

- What assumptions did your group make early on that limited your moves?
- How did your team keep track of what you had already tried versus repeating failed paths?
- What helped your group decide when to reset rather than push forward with a tangled line?

**Finished output:** A successful four-move sequence that groups write down and execute with their tokens.

## Remote

Run in breakout rooms of 3 to 5 people. Provide each breakout room with a shared digital slide containing eight colored circles (4 red, 4 blue) arranged on a numbered 12-slot grid. One participant shares their screen and moves pairs by selecting two adjacent shapes at once. Keep the same move rules and call groups back to the main room to demonstrate the sequence.

## Hybrid

In-person subgroups use physical tokens while remote participants work in dedicated digital breakout rooms on shared digital slides. Remote and in-person groups share findings together in the final demonstration step.

## Access and participation choices

- Use distinct shapes or high-contrast labels (such as numbered squares versus circles) alongside colors to support color-blind participants.
- Participants may choose to physically manipulate tokens, record sequences on paper, or observe and suggest moves verbally without touching materials.

## If the session gets stuck

**Participants lift and swap individual tokens instead of moving adjacent pairs.**

Pause the table and have them reset the line. Ask them to touch both tokens with two fingers simultaneously to reinforce moving them as a rigid unit.

**Groups get discouraged after repeatedly ending with gaps between tokens.**

Provide a hint: remind them that the classic minimum solution takes exactly four moves, and the first move usually shifts an interior pair outside the original eight slots.


## Terms used here

- Adjacent pair: Two tokens directly next to each other with no empty slot between them.

## Sources and adaptation

Observed in Playmeo records authored by Mark Collard. The underlying logic puzzle is a classic mathematical problem commonly known as Tait's counter puzzle.

The original Playmeo activity describes an in-person physical puzzle using eight standing people or objects. UWT adapted the activity exclusively to tabletop tokens with a numbered slot strip to make the exercise runnable for seated small groups simultaneously, avoiding awkward physical maneuvering while preserving the exact mathematical rules and constraints from the source. The classic solution requires four pair shifts.

[Playmeo](https://www.playmeo.com/activities/fun-team-building-puzzles/two-by-four/)

[Playmeo](https://www.playmeo.com/activities/fun-team-building-puzzles/two-by-four)

Current run sheet: https://unitedwetransform.com/exercises/challenging-team-puzzle-for-logic-sequencing-two-by-four/