Fill view with buttons?

Question

Objective-C

I want to fill a UIView with buttons with random positions so that they don't intersect.
My idea:
-create the first button and place it in a random position
-fill the view with the rest of the buttons (<20) so that they don't intersect.
What I've done:

-(void)generateButtonsForView:(UIView *)view buttonCount:(int)count
    {
    //get size of main view
        float viewWidth = view.frame.size.width;
        float viewHeight = view.frame.size.height;
        
        //set button at random position
        UIButton *initialButton = [[UIButton alloc] initWithFrame:CGRectMake(arc4random() % (int)viewWidth, arc4random() % (int)viewHeight, buttonWidth, buttonHeight)];
        
        [initialButton setBackgroundImage:[UIImage imageNamed:@"button"] forState:UIControlStateNormal];
        
        [view addSubview:initialButton];
        
        // set count to 20 - max number of buttons on screen
        if (count > 20)
            count = 20;
        
        //fill view with buttons from initial button +- 10 pixels
        for (int i=0;i<=count;i++)
        {
            //button
            UIButton *otherButtons = [[UIButton alloc] init];
            [otherButtons setBackgroundImage:[UIImage imageNamed:@"button"] forState:UIControlStateNormal];
            
            ...//have no idea what to do here
            
        }
    }

I got stuck at the moment where you need to create the positions of the remaining buttons, depending on the initial button. I can't figure out how to generate their positions so that they are no more than 5-10 pixels apart.

Answer 1

A little different than you want, but you can do this:
1. Saw the view into horizontal stripes with a height of 2 button heights + 10 points (you can play around). Make a gap of 5 points along the height between the stripes.
2. We divide each strip vertically into cells (the width of a button), select the horizontal distance between them randomly between 5-10, as a result, the cell has the width of the button and its double height.
3. The button is placed in a cell, the vertical position is chosen randomly. The total distance both vertically and horizontally will be more than 10, and horizontally more than 5 is guaranteed
4. Repeat for the rest of the strips (it's better to add a random initial horizontal offset for the buttons). As a result, between the "corresponding" buttons in adjacent strips there will be, in the worst case, 2 button heights + 25 points.
4 point is the only one that does not satisfy the condition. The whole thing can be optimized to ensure that the buttons in the stripes are pressed against their neighbor from above.

Answer 2

and what prevents filling with respect to the first random button in a circle from it, or from each new created subsequent one.