Hello! Welcome back to our second lesson in the "Mathematics of Flat Circles" module.
In our last lesson, we explored the fundamental reason why flat circles need a consistent number of increases per round. We connected the geometry of a circle () to the physical properties of crochet stitches, discovering that the number of increases required is directly related to stitch height. For example, we learned that to keep a single crochet circle flat, we need to add about 6 stitches per round, whereas a double crochet circle needs about 12.
Today, we'll answer the next logical question: How do you decide how many stitches to put in your very first round? As you'll see, this number isn't arbitrary. It is the single most important architectural decision you'll make, as it defines the number of repeating "segments" that form the foundation of your entire doily design.
The Golden Rule: Starting Stitches Define Your Segments
In crochet design, there is a simple but powerful rule that connects your first round to every round that follows:
The number of stitches you work in Round 1 is the same number of stitches you must increase by in every subsequent round.
This number establishes the symmetrical structure of your piece. Each stitch in that first round acts as the base of a "wedge" or "segment" that will grow outwards. If you start with 8 stitches, your doily will have 8 segments. If you start with 12, it will have 12 segments. All your future design elements—fans, shells, pineapples—will be built upon this foundational symmetry.
Let's read a short article that states this rule very clearly.
How to Make a Perfectly Flat Crochet Circle + ...
The article 'How to Make a Perfectly Flat Crochet Circle' from B Hooked Crochet introduces this concept as the 'magic number' and explains the core increasing formula.
Please read the section titled 'Crochet Circle Increasing Formula'. It contains the most important rule for this lesson. You can stop reading when you reach the chart.
To visualize what a "segment" looks like in practice, both in a finished piece and on a chart, take a look at these two images.
Choosing Your Number of Segments
So, if the number of starting stitches defines the number of segments, how do we choose that number? The answer lies in the previous lesson: it depends on the height of the stitch you use for Round 1.
Taller stitches create a larger radius in the first round, which in turn requires a larger circumference (more stitches) to lay flat. Let's revisit the video from our last lesson to see how this logic directly tells us the starting stitch count for different stitches.
The Math Behind A Crochet Circle & Why It Matters #crochet #crocheting #mathematics #stem
The 'Math Behind A Crochet Circle' video by Crafters Autonomous demonstrates the calculation for several stitch types. We'll watch the segments for double and half-double crochet to see how the math leads directly to their standard starting numbers.
First, watch the section on double crochet from 13:55 to 15:43. Notice how the logic concludes you need 12 double crochet stitches in Round 1. Next, watch the section on half-double crochet from 15:43 to 17:08. See how its specific height-to-width ratio leads to a starting count of 9 half-double crochet stitches.
This relationship gives us a set of reliable starting points for our designs. While your personal tension can cause slight variations, the standard numbers are an excellent foundation.
Here is a quick reference table, compiled from several expert sources. Notice that there can be a small range, which accounts for differences in tension and yarn.
| Stitch Used | Common Starting Count (Segments) |
|---|---|
| Single Crochet (sc) | 6 to 7 |
| Half Double Crochet (hdc) | 8 to 10 |
| Double Crochet (dc) | 10 to 12 |
| Treble Crochet (tr) | 12 to 14 |
The article from B Hooked Crochet provides a very useful, simplified version of this table with single "magic numbers".
How to Make a Perfectly Flat Crochet Circle + ...
Let's look at another resource that presents these starting counts as a straightforward list.
Focus on the table under the heading 'How to Crochet a Circle: First Round Stitch Counts'. It gives a single, recommended starting number for each common stitch.
The key takeaway is consistent: the taller the stitch, the more segments you need to begin with.
Test your understanding!
You are planning a doily and want to start with a very open, lacy center using Double Treble Crochet (dtr) stitches in the first round. Based on the pattern we've observed (sc=6, hdc=8, dc=10, tr=12), what would be a logical number of stitches/segments to start with for your dtr circle? Why?
Show answer
A logical starting count would be 14 stitches.
The pattern is that as the stitch gets taller, we add approximately 2 stitches to the starting count (sc=6, hdc=8, dc=10, tr=12). Following this pattern, the next step up for a Double Treble Crochet would be 14. This is because the dtr is even taller than a tr, creating an even larger radius in the first round, which requires more stitches in the circumference to keep the fabric from cupping. The table in the B Hooked Crochet article confirms that 14 is indeed the standard "magic number" for a dtr circle.
The Segment as a Design Formula
Once you have chosen your starting stitch and, therefore, your number of segments (X), the entire mathematical structure of your basic circle is set. Every round's total stitch count will be a multiple of X.
- Round 1:
Xstitches total - Round 2:
2Xstitches total - Round 3:
3Xstitches total - Round
n:n * Xstitches total
The article from DoraDoes provides a generic pattern template that illustrates this concept perfectly.
How to crochet a flat circle in any crochet stitch or pattern
This article, which we glanced at in the last lesson, uses 'X' to represent the number of starting stitches. This provides a universal formula for thinking about circular design.
Please read the section 'Basic crochet pattern to make a flat circle'. Pay attention to how the stitch count at the end of each round (X, 2X, 3X, etc.) is directly determined by the starting number 'X'.
This structure is what you will build upon. When you later decide to add a pineapple motif, you will calculate how many stitches that motif requires and then work it into one or more of your foundational segments. The number of segments you choose in Round 1 dictates the symmetry of your doily for its entire life. An 8-segment doily has a different feel and different design possibilities than a 12-segment doily. This is your first, and most important, creative decision.
Conclusion
You've now connected the why of circular increases with the how of starting your design. This is a huge step from simply following a pattern to understanding its core architecture.
Key Takeaways:
- The number of stitches in Round 1 defines the number of repeating segments in your circular design.
- This starting number is also the number of stitches you must increase by in every subsequent round to maintain flatness.
- The taller the stitch used in Round 1, the more starting stitches (and thus segments) are required. Common values are 6 for SC, 8-10 for HDC, and 10-12 for DC.
- Choosing your starting stitch and count is the primary architectural decision for a doily, establishing the symmetry upon which all other motifs will be built.
In our next lesson, we will get even more practical. We know how many total increases we need per round and where they originate from (the segments). Now we need to learn how to place them. We will cover the specific increase formulas for distributing these increases evenly within each segment to ensure your circle stays a circle, not a hexagon or octagon. This will be the final piece of the puzzle before we start drafting our first chart.