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How to create even spacing for clones in Scratch

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LM

LayoutMaster_Dev

Posted on January 18, 2025 • Intermediate

🃏 Need help with even spacing for clones

Hello everyone! I’m working on a card game project and I need to figure out how to space “n” clones evenly along the x-axis. The clones should be evenly distributed within a specific range (x1, x2), and the spacing should adapt based on how many clones there are.

I want to achieve something similar to how the game Balatro spaces cards in your hand - where the cards automatically adjust their spacing based on how many you have. The more cards, the closer they get, but they’re always evenly distributed.

Here’s what I need:

  • Even spacing between all clones
  • Clones fit within a defined range (x1 to x2)
  • Automatic adjustment based on number of clones
  • Clean, professional-looking layout

Any help with the math or Scratch implementation would be greatly appreciated! 🙏

AL

AlgorithmWizard

Replied 30 minutes later • ⭐ Best Answer

Perfect question @LayoutMaster_Dev! This is a classic linear interpolation problem. Here’s exactly how to implement even spacing for your clones:

📐 Even Spacing Algorithm Flow

Here’s how the spacing calculation works:

flowchart TD A[🎯 Define Range: x1 to x2] --> B[Count Total Clones: n] B --> C[Calculate Clone Index: 0 to n-1] C --> D[Apply Linear Interpolation Formula] D --> E[x = x1 + (index / (n-1)) × (x2-x1)] E --> F{Special Cases?} F -->|n = 1| G[Place at Center: (x1+x2)/2] F -->|n > 1| H[Use Standard Formula] G --> I[Set Clone Position] H --> I I --> J[Repeat for All Clones] J --> K[🃏 Perfect Card Layout] style A fill:#e1f5fe style D fill:#e8f5e8 style E fill:#fff3e0 style K fill:#fce4ec

🔧 Step 1: Set Up Variables

First, create the necessary variables for your spacing system:

    when flag clicked
set [x1 v] to [-200]  // Left boundary
set [x2 v] to [200]   // Right boundary
set [number of clones v] to [5]  // How many clones you want
set [clone index v] to [0]  // Current clone being positioned

📏 Step 2: The Core Spacing Formula

This is the magic formula for even spacing (linear interpolation):

    // For each clone, calculate its x position
set [clone x position v] to ((x1) + (((clone index) / ((number of clones) - (1))) * ((x2) - (x1))))

// Set the clone's position
go to x: (clone x position) y: [0]

🃏 Step 3: Complete Clone Creation System

Here’s the full implementation for creating evenly spaced clones:

    when flag clicked
delete all clones of [myself v]

// Handle special case: only 1 clone
if <(number of clones) = [1]> then
set [clone x position v] to (((x1) + (x2)) / [2])  // Center position
go to x: (clone x position) y: [0]
create clone of [myself v]
else
// Create multiple clones with even spacing
set [clone index v] to [0]
repeat (number of clones)
set [clone x position v] to ((x1) + (((clone index) / ((number of clones) - (1))) * ((x2) - (x1))))
go to x: (clone x position) y: [0]
create clone of [myself v]
change [clone index v] by [1]
end
end

🎮 Step 4: Dynamic Adjustment System

Make it responsive to changing numbers of clones:

    // When number of clones changes
when I receive [update layout v]
delete all clones of [myself v]

// Recalculate positions
set [clone index v] to [0]
repeat (number of clones)
set [clone x position v] to ((x1) + (((clone index) / ((number of clones) - (1))) * ((x2) - (x1))))
go to x: (clone x position) y: [0]
create clone of [myself v]
change [clone index v] by [1]
end

🎨 Step 5: Advanced Features

Add these enhancements for professional card layouts:

📐 Curved Arrangement (Like Real Cards)
    // Add slight curve to card arrangement
set [curve factor v] to [0.3]
set [center x v] to (((x1) + (x2)) / [2])

// Calculate curved position
set [distance from center v] to ([abs v] of ((clone x position) - (center x)))
set [curve offset v] to ((distance from center) * (curve factor))

// Apply curve to y position
go to x: (clone x position) y: (curve offset)
🔄 Overlap Prevention
    // Ensure minimum spacing between clones
set [min spacing v] to [30]  // Minimum pixels between clones
set [available width v] to ((x2) - (x1))
set [required width v] to ((number of clones) * (min spacing))

if <(required width) > (available width)> then
// Adjust boundaries to fit all clones
set [x1 v] to ((center x) - ((required width) / [2]))
set [x2 v] to ((center x) + ((required width) / [2]))
end

🎯 Step 6: Real-World Example

Here’s how it works with actual numbers:

  • 5 cards, range -200 to 200:
  • Card 0: -200 + (0/4) × 400 = -200
  • Card 1: -200 + (1/4) × 400 = -100
  • Card 2: -200 + (2/4) × 400 = 0
  • Card 3: -200 + (3/4) × 400 = 100
  • Card 4: -200 + (4/4) × 400 = 200

🔍 Troubleshooting Tips

  • Cards overlapping: Increase your range (x2 - x1) or reduce number of clones
  • Uneven spacing: Make sure you’re using (n-1) in the denominator, not n
  • Cards outside bounds: Check that x1 < x2 and both are within stage limits
  • Single card positioning: Use center formula: (x1 + x2) / 2

This linear interpolation method is the same technique used in professional game engines and is perfect for card games, inventory systems, and any UI that needs even spacing!

VB

Vibelf_Community

Pinned Message • Moderator

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