# Jack's Rhombus Ring Pattern: A Unique Geometric Design

• MHB
• bio
In summary, Jack draws rings of rhombuses with a common centre point and the same side length. Each ring contains identical rhombuses with a vertex at the centre and sides shared with adjacent rhombuses. In the first ring, there are 7 rhombuses, and each subsequent ring has 7 rhombuses with two adjacent sides shared with the previous ring. In the example given, there are only 3 rings in the rhombus ring pattern. In the other rhombus ring pattern, the last ring has 20 degree angles and the second last ring has 60 degree angles. To find the number of rhombuses in each ring and the total number of rings, refer to Figures 1, 2
bio
Jack draws rings of rhombuses about a common centre point. All rhombuses have the same side length.

Rhombuses in the first, or inner, ring are all identical. Each rhombus has a vertex at the centre and each of its sides that meet at the centre is shared with another rhombus. They all have the same size angle at the centre. Figure 1 shows a first ring with 7 rhombuses.

Each rhombus in the second ring has two adjacent sides each of which is shared with a rhombus in the first ring. Figure 2 shows the second ring when the first ring contains 7 rhombuses.

Jack continues adding rings of rhombuses in the same way for as long as possible. Figure 3 shows the third ring when the first ring contains 7 rhombuses. In this example, since it is not possible to draw any new rhombuses that share an edge with two rhombuses in the third ring, there are only three rings in this rhombus ring pattern.

a) In another rhombus ring pattern, each rhombus in the last ring has an angle of 20 degrees and each rhombus in the second last ring has an angle of 60 degrees. How many rhombuses are in each ring, and how many rings are there in this rhombus ring pattern?

Figures 1, 2 and 3 can be found at this link. https://imgur.com/a/qN4yDVe

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bio said:
Jack draws rings of rhombuses about a common centre point. All rhombuses have the same side length.

Rhombuses in the first, or inner, ring are all identical. Each rhombus has a vertex at the centre and each of its sides that meet at the centre is shared with another rhombus. They all have the same size angle at the centre. Figure 1 shows a first ring with 7 rhombuses.

Each rhombus in the second ring has two adjacent sides each of which is shared with a rhombus in the first ring. Figure 2 shows the second ring when the first ring contains 7 rhombuses.

Jack continues adding rings of rhombuses in the same way for as long as possible. Figure 3 shows the third ring when the first ring contains 7 rhombuses. In this example, since it is not possible to draw any new rhombuses that share an edge with two rhombuses in the third ring, there are only three rings in this rhombus ring pattern.

a) In another rhombus ring pattern, each rhombus in the last ring has an angle of 20 degrees and each rhombus in the second last ring has an angle of 60 degrees. How many rhombuses are in each ring, and how many rings are there in this rhombus ring pattern?

Figures 1, 2 and 3 can be found at this link. https://imgur.com/a/qN4yDVe

how to get to the answer

## 1. What is the significance of the rhombus ring pattern in Jack's design?

The rhombus ring pattern is a unique geometric design that has been carefully crafted by Jack to create a visually appealing and symmetrical pattern. It adds depth and complexity to the design and serves as a focal point for the eye.

## 2. How did Jack come up with the idea for this design?

Jack is a skilled mathematician and artist who drew inspiration from his love of geometry and patterns. He experimented with various shapes and designs before settling on the rhombus ring pattern as the most visually striking and unique.

## 3. What mathematical principles are used in Jack's rhombus ring pattern?

The rhombus ring pattern is constructed using principles of symmetry, repetition, and rotation. It also involves the use of geometric shapes such as rhombuses and circles to create the intricate design.

## 4. Can this design be replicated or used in other applications?

Yes, Jack's rhombus ring pattern can be replicated and used in various applications, such as textiles, architecture, and graphic design. The pattern can also be adapted and modified to create new and unique designs.

## 5. Is there any significance to the color choices in Jack's design?

The color choices in Jack's design are carefully selected to enhance the visual impact of the rhombus ring pattern. The use of contrasting colors creates a sense of depth and dimension, adding to the overall aesthetic of the design.

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