noconstraints/fancy teapot/fancy teapot0


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fancy teapot0 image
                
from AIDL import *

def fancy_teapot(
        body_radius = 4*inches,
        body_height = 5*inches,
        spout_length = 3*inches,
        handle_width = 1*inch,
        handle_height = 3*inches,
        lid_radius = 2*inches,
        lid_height = 1*inch):
    
    teapot = Solid()
    teapot.body = Solid()
    teapot.spout = Solid(shift=(body_radius, body_height / 2))
    teapot.handle = Solid(shift=(-body_radius - handle_width, body_height / 2))
    teapot.lid = Solid(shift=(0, body_height))

    teapot.body.ellipse = RoundedRectangle((0,0), 2*body_radius, body_height, body_radius/2)
    
    spout_outer = [
        Line((0,0), (spout_length/2, spout_length/4)),
        Arc((spout_length/2, spout_length/4), start_angle=0, end_angle=90, radius=spout_length/2)
    ]
    
    spout_inner = [
        Line((0,0), (spout_length/3, spout_length/6)),
        Arc((spout_length/3, spout_length/6), start_angle=0, end_angle=90, radius=spout_length/3)
    ]
    
    teapot.spout.spout_outer = spout_outer
    teapot.spout.spout_inner = spout_inner
    
    teapot.handle.outer_arc = Arc((0, 0), start_angle=180, end_angle=0, radius=handle_height)
    teapot.handle.inner_arc = Arc((0, handle_width/2), start_angle=180, end_angle=0, radius=handle_height - handle_width)
    
    teapot.lid.disk = Circle((0, 0), lid_radius)
    teapot.lid.knob = Circle((0, lid_height), lid_radius / 2)

    return teapot

with AIDL_2D:
    model = fancy_teapot()
print(model.Solve())
model.Render()

                
                Please write an AIDL program to generate a fancy teapot

Sure! Let's break down the design of a fancy teapot into manageable components such as the body, spout, handle, and lid. We'll start with the basic structure and then refine the geometry details step-by-step.

### Step 1: Define the Teapot Structure

We will define the main structure of the teapot with substructures for the body, spout, handle, and lid. Here is a basic outline:

```python
from AIDL import *

def fancy_teapot(
        body_radius = 4*inches,
        body_height = 5*inches,
        spout_length = 3*inches,
        handle_width = 1*inch,
        handle_height = 3*inches,
        lid_radius = 2*inches,
        lid_height = 1*inch):
    
    teapot = Solid()
    teapot.body = Solid()
    teapot.spout = Solid(shift=(body_radius, body_height / 2))
    teapot.handle = Solid(shift=(-body_radius - handle_width, body_height / 2))
    teapot.lid = Solid(shift=(0, body_height))

    return teapot

with AIDL_2D:
    model = fancy_teapot()
print(model.Solve())
model.Render()
```

This initial structure creates the main components of the teapot. Next, let's proceed to define the geometry for each of these components.

### Step 2: Define the Body Geometry

The body of the teapot can be a simple ellipse representing its round shape:

```python
from AIDL import *

def fancy_teapot(
        body_radius = 4*inches,
        body_height = 5*inches,
        spout_length = 3*inches,
        handle_width = 1*inch,
        handle_height = 3*inches,
        lid_radius = 2*inches,
        lid_height = 1*inch):
    
    teapot = Solid()
    teapot.body = Solid()
    teapot.spout = Solid(shift=(body_radius, body_height / 2))
    teapot.handle = Solid(shift=(-body_radius - handle_width, body_height / 2))
    teapot.lid = Solid(shift=(0, body_height))

    teapot.body.ellipse = RoundedRectangle((0,0), 2*body_radius, body_height, body_radius/2)

    return teapot

with AIDL_2D:
    model = fancy_teapot()
print(model.Solve())
model.Render()
```

### Step 3: Define the Spout Geometry

The spout of the teapot can be represented with a combination of lines and arcs to create a gentle curve:

```python
from AIDL import *

def fancy_teapot(
        body_radius = 4*inches,
        body_height = 5*inches,
        spout_length = 3*inches,
        handle_width = 1*inch,
        handle_height = 3*inches,
        lid_radius = 2*inches,
        lid_height = 1*inch):
    
    teapot = Solid()
    teapot.body = Solid()
    teapot.spout = Solid(shift=(body_radius, body_height / 2))
    teapot.handle = Solid(shift=(-body_radius - handle_width, body_height / 2))
    teapot.lid = Solid(shift=(0, body_height))

    teapot.body.ellipse = RoundedRectangle((0,0), 2*body_radius, body_height, body_radius/2)
    
    spout_outer = [
        Line((0,0), (spout_length/2, spout_length/4)),
        Arc((spout_length/2, spout_length/4), start_angle=0, end_angle=90, radius=spout_length/2)
    ]
    
    spout_inner = [
        Line((0,0), (spout_length/3, spout_length/6)),
        Arc((spout_length/3, spout_length/6), start_angle=0, end_angle=90, radius=spout_length/3)
    ]
    
    teapot.spout.spout_outer = spout_outer
    teapot.spout.spout_inner = spout_inner

    return teapot

with AIDL_2D:
    model = fancy_teapot()
print(model.Solve())
model.Render()
```

### Step 4: Define the Handle Geometry

The handle can be created with an arc for the outer edge and scaled-down arc for the inner edge:

```python
from AIDL import *

def fancy_teapot(
        body_radius = 4*inches,
        body_height = 5*inches,
        spout_length = 3*inches,
        handle_width = 1*inch,
        handle_height = 3*inches,
        lid_radius = 2*inches,
        lid_height = 1*inch):
    
    teapot = Solid()
    teapot.body = Solid()
    teapot.spout = Solid(shift=(body_radius, body_height / 2))
    teapot.handle = Solid(shift=(-body_radius - handle_width, body_height / 2))
    teapot.lid = Solid(shift=(0, body_height))

    teapot.body.ellipse = RoundedRectangle((0,0), 2*body_radius, body_height, body_radius/2)
    
    spout_outer = [
        Line((0,0), (spout_length/2, spout_length/4)),
        Arc((spout_length/2, spout_length/4), start_angle=0, end_angle=90, radius=spout_length/2)
    ]
    
    spout_inner = [
        Line((0,0), (spout_length/3, spout_length/6)),
        Arc((spout_length/3, spout_length/6), start_angle=0, end_angle=90, radius=spout_length/3)
    ]
    
    teapot.spout.spout_outer = spout_outer
    teapot.spout.spout_inner = spout_inner
    
    teapot.handle.outer_arc = Arc((0, 0), start_angle=180, end_angle=0, radius=handle_height)
    teapot.handle.inner_arc = Arc((0, handle_width/2), start_angle=180, end_angle=0, radius=handle_height - handle_width)
    
    return teapot

with AIDL_2D:
    model = fancy_teapot()
print(model.Solve())
model.Render()
```

### Step 5: Define the Lid Geometry

The lid can be created as a circle with a small knob on top:

```python
from AIDL import *

def fancy_teapot(
        body_radius = 4*inches,
        body_height = 5*inches,
        spout_length = 3*inches,
        handle_width = 1*inch,
        handle_height = 3*inches,
        lid_radius = 2*inches,
        lid_height = 1*inch):
    
    teapot = Solid()
    teapot.body = Solid()
    teapot.spout = Solid(shift=(body_radius, body_height / 2))
    teapot.handle = Solid(shift=(-body_radius - handle_width, body_height / 2))
    teapot.lid = Solid(shift=(0, body_height))

    teapot.body.ellipse = RoundedRectangle((0,0), 2*body_radius, body_height, body_radius/2)
    
    spout_outer = [
        Line((0,0), (spout_length/2, spout_length/4)),
        Arc((spout_length/2, spout_length/4), start_angle=0, end_angle=90, radius=spout_length/2)
    ]
    
    spout_inner = [
        Line((0,0), (spout_length/3, spout_length/6)),
        Arc((spout_length/3, spout_length/6), start_angle=0, end_angle=90, radius=spout_length/3)
    ]
    
    teapot.spout.spout_outer = spout_outer
    teapot.spout.spout_inner = spout_inner
    
    teapot.handle.outer_arc = Arc((0, 0), start_angle=180, end_angle=0, radius=handle_height)
    teapot.handle.inner_arc = Arc((0, handle_width/2), start_angle=180, end_angle=0, radius=handle_height - handle_width)
    
    teapot.lid.disk = Circle((0, 0), lid_radius)
    teapot.lid.knob = Circle((0, lid_height), lid_radius / 2)

    return teapot

with AIDL_2D:
    model = fancy_teapot()
print(model.Solve())
model.Render()
```

This basic structure can be further refined with additional details if needed; but for now, it represents a fancy teapot with body, spout, handle, and lid. Let me know if you want to add or modify any specific parts or details!