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# OpenSCAD - 3D Printing Projects
## Caged Ball Bearing
Thingiverse URL: [www.thingiverse.com/thing:2224678](https://www.thingiverse.com/thing:2224678)
### Sample Prints
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## Parametric Butt Hinge
### Thingiverse URL: [www.thingiverse.com/thing:2187167](https://www.thingiverse.com/thing:2187167)
### Sample Prints
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### Gusset Parameters
#### Parabolic
- Input values.
$$w \quad \text{...Gusset width.}$$
$$h \quad \text{...Hinge leaf height.}$$
$$r \quad \text{...Knuckle radius is equal to the leaf gauge.}$$
$$g \quad \text{...Leafe gauge.}$$
- Compute the parabolic point of contact with the knuckle cylinder.
$$s = w \space + \space r \quad \text{...Cartesian position of the point where the gusset curve merges with the leaf.}$$
$$i = \sqrt { 8 \cdot r^2 + s^2 } \quad \text{...Common root.}$$
$$x = \dfrac{ i - s }{2} \quad \text{...x intercept.}$$
$$y = \sqrt { r^2 - x^2 } \quad \text{...y intercept.}$$
- Compute coefficient $a$ of vertex form parabola.
$$a_n = \sqrt[4]{ 2 } \cdot \sqrt[4]{ s \cdot ( i - s ) - 2 \cdot r^2 } \quad \text{...Numerator}.$$
$$a_d = \sqrt{ s \cdot ( 5 \cdot s - 3 \cdot i ) + 4 \cdot r^2 } \quad \text{...Denominator.}$$
$$a = \dfrac{a_n}{a_d}$$
$$y = a^2 \cdot ( x - s )^2$$
#### Circular
- Input values:
$$w \quad \text{...Gusset width}$$
$$g \quad \text{...Knuckle radius}$$
- Compute gusset radius:<br>
The radius of the circle, that is tangential to the knuckle cylinder.
$$r = \dfrac{ 2 \cdot g \cdot w \space + \space w^2}{ 2 \cdot g}$$
- Compute gusset height:<br>
The point of intersection between the knuckle cylinder and the gusset cutter.
$$h = \dfrac{ g \cdot r }{ \sqrt{ 2 \cdot g \cdot w \space + \space g^2 \space + \space r^2 \space + \space w^2 } }$$
- Compute the intersection point between the knuckle and gusset cutting tool, using gusset height:<br>
The coordinates of the intersection point are, $p(x,h)$, where $h$ is the vertical value of the coordinate.
$$x = \dfrac{ h \cdot ( g \space + \space w ) }{ r }$$
#### Linear
- Input values.
$$w \quad \text{...Gusset width.}$$
$$h \quad \text{...Hinge leaf height.}$$
$$r \quad \text{...Knuckle radius is equal to the leaf gauge.}$$
$$r \quad \text{...Leafe gauge.}$$
- Compute gusset tangent gradient.
$$s = w + r \quad \text{...Cartesian position of the point where the gusset curve merges with the leaf.}$$
$$x = \dfrac{ r^2 }{ s }$$
$$y = \sqrt{ r^2 - x^2}$$
$$a = \dfrac{ y }{x - s}$$
$$b = -a \cdot s$$
#### None
## Parametric Test Block
Thingiverse URL: [www.thingiverse.com/thing:2224678](https://www.thingiverse.com/thing:2386923)
### Sample Prints
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## Gear Tester
### Sample Prints
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## 3D Printer - Endpoint Upgrade Mount
### Sample Prints
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## Cat-Food Sieve
- Mixed my cat's food.
- The vet told me not to mix it.
- So I 3D-printed a sieve to separate it again.
### Sample Prints
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