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Lesson 23

Mandala Symmetry: Choosing Your Geometric Base

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Hello! Welcome to the final lesson in our module on composing the full mandala.

In our last session, we focused on controlling the final size and scale of your project. We saw how stitch height and the number of increases directly influence how fast your mandala grows. Today, we're going to dive deeper into that second factor—the number of increases—and see how it defines the fundamental structure of your entire design.

Today's learning outcome is to select and apply different geometric bases for the mandala's symmetry (e.g., 6, 8, or 12-point).

This decision is the architectural foundation of your mandala. Much like a web designer chooses a grid system (e.g., a 12-column layout) to structure a webpage, a mandala designer chooses a geometric base to structure the radial pattern. This base determines the number of "spokes" or "petals" in your design and dictates the mathematical rules for every round that follows.

1. From Flat Circle to Symmetrical Base

In our first module, you learned the standard formula for a flat circle: increase by a set number of stitches each round (e.g., 6 for single crochet, 12 for double crochet). To achieve a perfect circle, we often stagger these increases.

However, in mandala design, we often do the opposite. By stacking the increases—placing them in the same location round after round—we intentionally create "corners." This transforms the circle into a polygon, which becomes the geometric skeleton for our design.

Crochet Patterns for Hexagonal and Circular Shapes
This image perfectly illustrates the concept. The hexagonal piece on the left was created by stacking increases at 6 specific points. The more circular piece on the right was created by staggering the increases, which creates a spiral effect and avoids distinct corners. For most mandalas, we embrace the "corners" to create our points of symmetry.

The number of corners you create defines the geometric base. If you increase 6 times per round, you get a 6-point base (a hexagon). If you increase 8 times, you get an 8-point base (an octagon), and so on.

2. Choosing Your Mandala's "Operating System"

The choice of geometric base is a critical design decision. It affects the visual feel of the mandala and determines what kinds of repeating motifs you can build into it. Let's look at the three most common bases.

6-Point Symmetry (Hexagonal)

  • Structure: Starts with 6 stitches and increases by 6 stitches each round.
  • Math: The total stitch count of every round is a multiple of 6.
  • Aesthetic: Creates a natural, often floral or snowflake-like appearance. It's a very stable and common shape in nature.

8-Point Symmetry (Octagonal)

  • Structure: Starts with 8 stitches and increases by 8 stitches each round.
  • Math: The total stitch count of every round is a multiple of 8.
  • Aesthetic: Often feels balanced and directional, like a compass rose or a star. It provides a strong, stable framework.

12-Point Symmetry (Dodecagonal)

  • Structure: Starts with 12 stitches (very common for dc rounds) and increases by 12 stitches each round.
  • Math: The total stitch count of every round is a multiple of 12.
  • Aesthetic: This is arguably the most versatile and popular choice for complex mandalas. Why? Because 12 is divisible by 2, 3, 4, and 6. This incredible flexibility allows you to design rounds with motifs that repeat 2, 3, 4, or 6 times, all within the same 12-point framework. It’s the designer’s favorite for a reason!
Vibrant 12-Point Crocheted Mandala
This beautiful, complex mandala is built on a 12-point symmetry. If you look at the outer green and purple "petals," you can count 12 of them. This underlying structure allows for the intricate layering of different patterns throughout the design.

3. Deconstructing a Design: An 8-Point (or is it 9-Point?) Mandala

Let's put our new knowledge into practice by analyzing an existing pattern. This is a crucial skill for a designer—being able to "read" the structure of other work.

We'll look at a free pattern from the blog Crocknit. The designer mentions creating mandalas with 8, 9, and 10 points. The pattern provided is for the "STAR LOVER 2 MANDALA".

STAR LOVER Mandalas

Let's examine the 'STAR LOVER Mandalas' post. This will give us a concrete example of how a star-shaped mandala is constructed.

First, read the introduction to understand the project's theme. Then, look at the 'PATTERN DETAILS for STAR LOVER 2 MANDALA', where the designer lists materials and notes. Finally, carefully read the row-by-row instructions under 'PATTERN STARTS'. Pay close attention to the stitch counts at the end of each round and the repeating sections marked with an asterisk (*).

Now, let's play detective. The "PATTERN DETAILS" section describes this as an 8-point star (octagram), but is that what the instructions actually create?

  • Round 1: Ends with 9 sc. (Interesting start... not 8.)
  • Round 2: Ends with 18 sts (9 increases).
  • Round 3: The repeat *skip next st, (1dc, ch2, 1dc) in next st is worked over the 18 stitches of the previous round. Each repeat uses 2 stitches. 18 / 2 = 9 repeats. This round creates 9 V-stitches, which act as 9 points.

It seems the pattern actually establishes a 9-point symmetry, not an 8-point one. This is a fantastic learning opportunity! Patterns can have errors or ambiguities. As a designer, your ability to analyze the underlying math is more important than blindly following the text. This pattern creates a beautiful 9-pointed star.

Test your understanding!

You are designing a mandala and want to create a round with a repeating 5-stitch shell motif. Which geometric base would be a poor choice for this round, and why? (Choose from 6, 8, or 12-point).

Show answer

Both 8-point and 6-point bases would be poor choices. For a 5-stitch motif to repeat evenly, the total stitch count of the round must be divisible by 5. The stitch counts in an 8-point mandala are multiples of 8, and in a 6-point mandala are multiples of 6. These are rarely also multiples of 5.

A 12-point base would also be a poor choice for the same reason (multiples of 12 are not typically divisible by 5). To use a 5-stitch motif, you would want to build your mandala on a 5-point or 10-point base.

4. Changing Your Symmetry Mid-Design

Great designers know how to bend the rules. You don't have to be locked into one symmetry for the entire project. You can change the number of points to create visual interest or to achieve a more perfectly circular shape as your mandala grows.

Design Secret: More Circle Crochet Look, Please

The article 'Design Secret: More Circle Crochet Look, Please' from The Crochet Crowd touches on this advanced technique.

Read the section titled 'You Can Confuse the Crochet Project To Be Circle Too'. Notice how the author talks about increasing the number of points as the circle grows (e.g., from 12 to 18 to 24) to keep the shape from looking flat-sided. The key is to keep the new number divisible by the original base (e.g., 18 and 24 are divisible by 6).

How is this done? You simply execute a transitional round where you increase your stitch count to a new number that works for your new symmetry.

Example: Transitioning from an 8-point to a 16-point symmetry.

  1. Current State: You've just finished a round with 80 stitches, based on an 8-point symmetry ([8 sc, inc] x 8).
  2. Goal: Transition to a 16-point symmetry to create smaller, more delicate details.
  3. Find the Next Multiple: The next logical stitch count for a 16-point symmetry after 80 is 96 (80 is 16x5, the next step is 16x6=96).
  4. Calculate the Increase: You need to go from 80 stitches to 96 stitches. That's an increase of 16 stitches.
  5. Write the Instruction: To add 16 stitches evenly to an 80-stitch round, you divide 80 by 16, which is 5. The repeating pattern will be over 5 stitches.
    • The instruction would be: [4 sc, inc] * 16.
    • Let's check the math: The repeat [4 sc, inc] uses 5 stitches and produces 6 stitches.
    • 5 stitches/repeat * 16 repeats = 80 stitches used. Correct.
    • 6 stitches/repeat * 16 repeats = 96 stitches produced. Correct.

After this transitional round, you have 96 stitches and can proceed with a 16-point design structure.

Conclusion

You have now mastered one of the most fundamental concepts in mandala design: the geometric base. This is the source code for your pattern's symmetry, structure, and rhythm.

Key Takeaways:

  • A mandala's symmetry is defined by its geometric base (e.g., 6, 8, or 12-point), which is created by the number of increases per round.
  • Stacking increases creates polygonal shapes that form the skeleton of your design.
  • The 12-point base is highly versatile because 12 is divisible by 2, 3, 4, and 6, allowing for a wide variety of repeating motifs.
  • The total stitch count of any round must be divisible by your base number for motifs to fit evenly.
  • You can change the symmetry mid-design by adding a transitional round that adjusts the stitch count to a new multiple.

This lesson concludes our module on composing the full mandala. You now have all the skills needed to plan the structure, rhythm, size, and symmetry of a complete project.

In our next module, "Exploring Mandala Styles," we'll start putting these structural skills to creative use. Our first lesson will focus on how to incorporate traditional motifs like flowers and geometric shapes into a mandala design, building directly upon the symmetrical foundations we've established today.