Prompt: Counting nodes
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How models perform on this prompt
Gemini 3 Flash (Tools)
Model answer: {"answer": 127}
Arcee.ai Spotlight
Model answer: 101
ChatGPT-4o (High Reasoning)
Model answer: {"answer": "101"}
ChatGPT-4o (Medium Reasoning)
Model answer: {"answer": "85"}
Claude 3.5 Haiku
Model answer: Let me count the vertices carefully: I'll count the red and orange dots, moving from the outer edge inward: - Outer ring: 16 red dots - Next ring: 16 red dots - Middle rings: Approximately 40-50 red dots - Central orange dot: 1 After a careful count, the total number of vertices is 73.
Claude 3.7 Sonnet
Model answer: This image shows a complex network diagram with numerous vertices (nodes) connected by gray lines (edges). The vertices are represented by red dots arranged in a symmetrical pattern around a single orange dot at the center. To count the total number of vertices, I need to carefully count all the red dots plus the single orange dot in the center. After counting methodically through the concentric rings of the network, I can see there are approximately 120 vertices in total (including the orange center vertex). However, to give you a precise integer answer, I would need to count each vertex individually, which is challenging due to the density of the network. The exact number appears to be between 115-125 vertices.
Claude 4 Opus
Model answer: I need to count all the vertices (dots) in this diagram, including both red and orange dots. Let me systematically count the vertices by working from the outside inward: 1. **Outermost ring**: I can see vertices arranged in a regular pattern around the outer edge. Counting carefully around the perimeter, I count 12 vertices in the outermost ring. 2. **Second ring**: Moving inward, there's another ring of vertices. Counting these, I find 12 vertices in this ring as well. 3. **Third ring**: Continuing inward, I count another 12 vertices in this ring. 4. **Fourth ring**: This ring also contains 12 vertices. 5. **Fifth ring**: Again, 12 vertices in this ring. 6. **Sixth ring**: This inner ring has 12 vertices. 7. **Seventh ring**: Getting closer to the center, I count 12 vertices. 8. **Eighth ring**: This small ring near the center has 6 vertices. 9. **Center**: There is 1 vertex at the very center (the orange dot). Let me verify by counting more carefully: - Starting from the outermost vertices and working inward - The pattern appears to be concentric rings with mostly 12 vertices per ring - There's one orange vertex in the center - The second-innermost ring appears to have 6 vertices - All other rings have 12 vertices each Total count: 12 + 12 + 12 + 12 + 12 + 12 + 12 + 6 + 1 = 91 Therefore, there are **91** vertices visible in this diagram.
Claude 4 Sonnet
Model answer: I need to count all the vertices (nodes) in this network diagram, which are represented by red and orange dots. Let me systematically count the vertices by examining the diagram carefully: Looking at the structure, this appears to be a complex network graph with vertices arranged in a roughly circular/radial pattern. I can see: 1. One central orange vertex in the middle 2. Multiple concentric layers or rings of red vertices radiating outward 3. Additional red vertices around the perimeter Let me count more methodically by examining different regions: - Center: 1 orange vertex - Inner rings and scattered throughout the middle area: I can count the red vertices systematically - Outer perimeter: Additional red vertices Counting all visible red and orange dots in the diagram, I can identify: The total count of all vertices (red and orange dots) visible in this network diagram is **169**.
Claude 4.1 Opus
Model answer: I need to count all the vertices (dots) in this diagram, which appear to be marked in red with one orange dot in the center. Let me systematically count the vertices by working from the outside inward: 1. **Outermost ring**: I can see vertices forming the outer boundary of the diagram. Counting these carefully around the perimeter, I see 12 vertices. 2. **Next ring inward**: Moving inward, there's another ring of vertices. Counting these, I see 12 vertices. 3. **Continuing inward**: The pattern continues with multiple concentric rings of vertices. Let me count each ring: - Ring 3: 12 vertices - Ring 4: 12 vertices - Ring 5: 12 vertices - Ring 6: 12 vertices - Ring 7: 12 vertices - Ring 8: 6 vertices (inner ring) - Center: 1 vertex (the orange one) Wait, let me recount more carefully by looking at the structure. This appears to be a complex geometric pattern with vertices arranged in a specific formation. Actually, let me count more systematically by sectors or by careful visual inspection of all visible dots: Looking at the entire diagram and counting all visible vertices (both red and the one orange), I can identify: - Multiple concentric layers of vertices - Each vertex is clearly marked as a dot - The pattern is symmetric After careful counting of all visible vertices in the diagram, I count: **127** vertices total.
Claude 4.6 Opus
Model answer: {"answer": "241"}
Cohere Aya Vision 32B
Model answer: To determine the number of vertices in this diagram, we can count the red and orange dots. Starting from the center and moving outward, we can see that there is a central orange dot, surrounded by a ring of red dots, then another ring of orange dots, and so on. Counting the dots in each ring, we find: - 1 central orange dot - 12 red dots in the first ring - 24 orange dots in the second ring - 36 red dots in the third ring - 48 orange dots in the fourth ring - 60 red dots in the fifth ring - 72 orange dots in the sixth ring - 84 red dots in the seventh ring - 96 orange dots in the eighth ring - 108 red dots in the ninth ring - 120 orange dots in the tenth ring Adding up all these dots, we get a total of 756 vertices (1 + 12 + 24 + 36 + 48 + 60 + 72 + 84 + 96 + 108 + 120 = 756). Therefore, the answer is 756.
Cohere Aya Vision 8B
Model answer: To determine the number of vertices (marked as red or orange dots) visible in the diagram, we need to carefully analyze the structure of the image. The diagram appears to be a complex network of interconnected nodes, forming a pattern that resembles a flower or a mandala. ### Step-by-Step Analysis: 1. **Identify the Central Node**: - The central node is marked with a yellow dot. This is the core of the pattern and is not counted as a vertex since it is not part of the red or orange dots. 2. **Count the Outer Layer**: - The outer layer consists of red dots arranged in a circular pattern. Each red dot is connected to its neighbors, forming a complete graph. - There are 12 red dots in the outer layer, forming a dodecagon (12-sided polygon). 3. **Count the Inner Layers**: - Inside the outer layer, there are additional layers of red dots. Each layer is smaller than the previous one, forming a pattern that resembles a flower. - The second layer has 10 red dots, the third layer has 8 red dots, and so on, until the innermost layer, which has 2 red dots. 4. **Calculate the Total Number of Red Dots**: - The total number of red dots is the sum of the dots in each layer: - Outer layer: 12 dots - Second layer: 10 dots - Third layer: 8 dots - Fourth layer: 6 dots - Fifth layer: 4 dots - Sixth layer: 2 dots - Adding these together: \[ 12 + 10 + 8 + 6 + 4 + 2 = 42 \] ### Final Answer: The number of vertices (marked as red or orange dots) visible in the diagram is **42**.
GPT-4.1
Model answer: {"answer": "61"}
GPT-4.1 Mini
Model answer: {"answer": "91"}
GPT-4.1 Nano
Model answer: { "answer": 61 }
GPT-5
Model answer: {"answer": "121"}
GPT-5 (high reasoning)
Model answer: {"answer":"91"}
GPT-5 Mini
Model answer: {"answer": "81"}
GPT-5 Nano
Model answer: {"answer":"61"}
GPT-5.1
Model answer: {"answer": "121"}
GPT-5.2
Model answer: {"answer":"121"}
Gemini 2.0 Flash
Model answer: {"answer": "121"}
Gemini 2.0 Flash Lite
Model answer: {"answer": 121}
Gemini 2.5 Flash
Model answer: {"answer": "81"}
Gemini 2.5 Flash Lite
Model answer: {"answer": "121"}
Gemini 2.5 Pro
Model answer: {"answer": 133}
Gemini 3 Flash
Model answer: {"answer": 121}
Gemini 3 Pro Preview
Model answer: {"answer": "49"}
Gemma 3 4B
Model answer: Let's count the number of red and orange dots visible in the diagram. The diagram shows a sphere with vertices connected by lines. The vertices are colored red and orange. The vertices are arranged in a regular pattern that resembles a truncated icosahedron. We can observe the following: - There are 60 red dots. - There are 20 orange dots. So, the total number of visible vertices is the sum of the number of red dots and the number of orange dots. Total number of vertices = 60 + 20 = 80. We can count the vertices as follows: - 60 red dots - 20 orange dots The total number of vertices is 60 + 20 = 80. Thus, the number of visible vertices is 60 red vertices + 20 orange vertices = 80 vertices. Final Answer: The final answer is $\boxed{80}$
Llama 4 Maverick 17B
Model answer: The diagram is a complex geometric structure with multiple layers of interconnected nodes. The nodes are represented by red dots, and there are two orange dots visible in the image. To determine the number of vertices visible in the diagram, we need to count the red and orange dots. * The diagram contains numerous red dots. * There are 2 orange dots. Upon careful examination of the image, it is evident that there are 120 red dots and 2 orange dots. Therefore, the total number of vertices (red or orange dots) visible in the diagram is $120 + 2 = 122$. The final answer is: $\boxed{122}$
Mistral Medium 3
Model answer: To determine the number of vertices in the diagram, we need to carefully count each red and orange dot. Let's break it down step by step: 1. **Identify the central vertex**: There is one orange vertex at the center of the diagram. 2. **Count the vertices in the inner circle**: Surrounding the central vertex, there is a circular arrangement of red vertices. By counting these, we find there are 12 red vertices in this inner circle. 3. **Count the vertices in the outer circle**: Further out from the inner circle, there is another circular arrangement of red vertices. By counting these, we find there are 24 red vertices in this outer circle. 4. **Sum the vertices**: To get the total number of vertices, we add the central vertex, the vertices in the inner circle, and the vertices in the outer circle. Calculation: - Central vertex: 1 - Inner circle vertices: 12 - Outer circle vertices: 24 Total vertices = 1 + 12 + 24 = 37 Therefore, the total number of vertices in the diagram is **37**.
Mistral Small 3.1 24B
Model answer: The diagram presented consists of red vertices only, with no visible orange vertices. The total number of red vertices, as shown in the image, is 250. So, the answer is 250.
OpenAI O1
Model answer: {"answer": "61"}
OpenAI O3 (High Reasoning)
Model answer: {"answer": "100"}
OpenAI O3 (Medium Reasoning)
Model answer: {"answer": "73"}
OpenAI O4 Mini (High Reasoning)
Model answer: {"answer": "61"}
OpenAI O4 Mini (Medium Reasoning)
Model answer: {"answer": "61"}
Phi 4 Multimodal
Model answer: 27