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docs/tutorial.md
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# Tutorial
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#### The main goal of this tutorial is to show all capabilities of ... (this part will be supplemented)
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The simple visualization can be made with function `main`. (this part will be supplemented as well)
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```kotlin
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import kotlinx.html.div
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import space.kscience.dataforge.context.Context
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import space.kscience.visionforge.html.ResourceLocation
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import space.kscience.visionforge.solid.*
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import java.nio.file.Paths
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fun main(){
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val context = Context{
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plugin(Solids)
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}
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context.makeVisionFile (
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Paths.get("customFile.html"),
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resourceLocation = ResourceLocation.EMBED
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){
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div {
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vision {
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solid {
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}
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}
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}
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}
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}
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```
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## Solids properties
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**We will analyze which basic properties solids have using `box` solid.**
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*Basic properties:*
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1. `opacity` - It is set in `float`. It takes on values from 0 to 1, which represent percents of solid opacity. It's initial value is 1.
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2. `color` - It can be specified as `Int`, `String`, or as three `Ubytes`, which represent color in `rgb`. Elementally, the solid will have `green` color.
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3. `rotation` - it's the point, around which the solid will be rotated. Initially, the value is `Point3D(0, 0, 0)`. Changing `x` coordinate of the point, you make pivot around `x axis`. The same for other coordinates: changing `y` - pivot around `y axis`, changing `z` - pivot around `z axis`.
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4. position, which is given by values `x`, `y`, `z`. Initial values are `x = 0`, `y = 0`, `z = 0`. The coordinate system is Cartesian. It's elemental position is this - vertical `y` axis and horizontal `Oxz` plane.
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Let's see how properties are set in solids.
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The `small box` will have elemental values of properties. If you will not set properties, it will have the same `position`, `color`, `rotation`, and `opacity` values.
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***You can see that `box` take four values. Later, we will discuss what they do in more detail. Now, it does not really matter.***
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```kotlin
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box(10, 10, 10, name = "small box"){
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x = 0
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y = 0
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z = 0
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opacity = 1 //100% opacity
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color("red") //as string
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rotation = Point3D(0, 0, 0)
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}
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```
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
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The `big box` will have properties with custom values.
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```kotlin
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box(40, 40, 40, name = "big box"){
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x = 20
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y = 10
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z = 60
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opacity = 0.5 //50% opacity
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color(0u, 179u, 179u) //color in rgb
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rotation = Point3D(60, 80, 0)
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}
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```
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
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If we compare these boxes, we will see all differences.
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Here is the function `main` with both boxes.
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```kotlin
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fun main(){
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val context = Context{
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plugin(Solids)
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}
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context.makeVisionFile (
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Paths.get("customFile.html"),
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resourceLocation = ResourceLocation.EMBED
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){
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div {
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vision {
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solid {
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box(10, 10, 10, name = "small box"){
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x = 0
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y = 0
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z = 0
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opacity = 1 //100% opacity
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color("red") //as string
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rotation = Point3D(0, 0, 0)
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}
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box(40, 40, 40, name = "big box"){
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x = 20
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y = 10
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z = 60
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opacity = 0.5 //50% opacity
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color(0u, 179u, 179u) //rgb
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rotation = Point3D(60, 80, 0)
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}
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}
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}
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}
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}
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}
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```
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
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
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***There is plenty of other properties, especially of those, which you can create by yourself. Here we mention just small part.***
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## Basic Solids
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Now, let's see which solids can be visualized:
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### 1) PolyLine
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### 2) Box
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First thing which has to be mentioned is that `box` takes four values: `box(x, y, z, name)`
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* `x` - x-axis length of the `box`
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* `y` - y-axis length of the `box`
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* `z` - z-axis length of the `box`
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These values have `Float` type. *`x`, `y`, and `z` are necessary values, which cannot be ignored. You have to set them.*
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* `name` - `box`'es identifier with `String` type. *It's an optional value, but without it you won't be able to control solid.*
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Let's create just usual `box` with equal ribs.
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```kotlin
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box(50, 50, 50, name = "box") {
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color("pink")
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}
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```
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
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Now, let's make `box` with bigger `y` value.
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```kotlin
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box(10, 25, 10, name = "high box") {
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color("black")
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}
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```
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As you can see, only rib of `y-axis` differs from other ribs.
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
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For final trial, let's create `box` with bigger `x` value.
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```kotlin
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box(65, 40, 40, name = "wide box") {
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x = 0
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y = 0
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z = 0
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color("black")
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}
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```
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Predictably, only `x-axis` rib bigger than other ribs.
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
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### 3) Sphere
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It takes in two values: `radius`, and `name`.
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Actually, `name` is general value for all solids, so do not wonder, since all solids need their own identifier.
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As for `radius`, it has `Float` type, and, as you can guess, it sets radius of the sphere, which will be created.
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```kotlin
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sphere(50, name = "sphere") {
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x = 0
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y = 0
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z = 0
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opacity = 0.9
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color("blue")
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}
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```
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
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### 4) Hexagon
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It is solid which has six edges. It is set by eight values: `node1`,..., `node8`. They all have `Point3D` type, so they are just points, vertices.
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*Six edges are these:*
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1) Edge with vertices `node1`, `node4`, `node3`, `node2`
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2) Edge with vertices `node1`, `node2`, `node6`, `node5`
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3) Edge with vertices `node2`, `node3`, `node7`, `node6`
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4) Edge with vertices `node4`, `node8`, `node7`, `node3`
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5) Edge with vertices `node1`, `node5`, `node8`, `node4`
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6) Edge with vertices `node8`, `node5`, `node6`, `node7`
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
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As hexagon takes in specific points, we understand that this solid cannot be moved, it fixed in space, and it can't make pivots.
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Let's make classic parallelepiped.
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```kotlin
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hexagon(
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Point3D(25, 30, 25),
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Point3D(35, 30, 25),
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Point3D(35, 30, 15),
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Point3D(25, 30, 15),
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Point3D(30, 18, 20),
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Point3D(40, 18, 20),
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Point3D(40, 18, 10),
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Point3D(30, 18, 10),
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name = "classic hexagon"){
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color("green")
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}
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```
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
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Now, let's make a custom hexagon.
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```kotlin
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hexagon(
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Point3D(5, 30, 5),
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Point3D(24, 30, 8),
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Point3D(20, 30, -10),
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Point3D(5, 30, -7),
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Point3D(8, 16, 0),
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Point3D(12, 16, 0),
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Point3D(10, 16, -5),
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Point3D(6.5, 12, -3),
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name = "custom_hexagon"){
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color("brown")
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}
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```
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
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### 3) Cone
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It takes in six values: `bottomRadius`, `height`, `upperRadius`, `startAngle`, `angle`, and `name`.
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Obviously, `bottomRadius` is responsible for radius of a bottom base, and `height` sets height of a cone along the `z-axis`.
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As it takes such values as `upperRadius`, `startAngle`, `angle`, `cone` can build not only usual cones, but also cone segments. Initially, `upperRadius` will have `0.0` value, `startAngle` - `0f`, `angle` - `PI2`, so if you don't set them, you'll get just a simple cone.
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Setting `upperRadius`, you make a frustum cone, since it sets a radius of the upper base of a cone. Set `startAngle`, and `angle` let to cut off segments by planes perpendicular to the base. `startAngle` - an angle, starting with which segment will be left, `angle` - an angle of cone, which will be set from `startAngle`.
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Let's build a classic cone:
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```kotlin
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cone(60, 80, name = "cone") {
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color("beige")
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}
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```
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
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
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First of all, we have to try to build a frustum cone:
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```kotlin
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cone(60, 80, name = "cone") {
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color(0u, 40u, 0u)
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}
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```
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
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Now, we need to make a try to build a cone segment:
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```kotlin
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cone(60, 80, angle = PI, name = "cone") {
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color(0u, 0u, 200u)
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}
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```
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
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
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Finally, the segment of frustum cone is left for a try:
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```kotlin
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cone(60, 100, 20, PI*3/4, angle = PI/3, name = "cone") {
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color(190u, 0u, 0u)
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}
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```
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
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### 4) Cone Surface
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This solid is set by seven values:`bottomOuterRadius`, `bottomInnerRadius`, `height`, `topOuterRadius`, `topInnerRadius`, `startAngle`, and `angle`.
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In addition to `height`, `startAngle`, and `angle`, which work as they work in `cone`, there are some new values.
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`bottomOuterRadius`, and `bottomInnerRadius` set properties of the bottom circle, `topOuterRadius`, `topInnerRadius` - of the upper circle. They have no initial value, so that means they have to be set.
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Generally, `cone`, and `coneSurface` buildings work in the same way, it's possible to make `coneSurface`'s fragments as in `cone`
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Let's build usual cone surface with almost all properties set:
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```kotlin
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coneSurface(60, 50, 30, 10, 100, name = "cone surface") {
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color("red")
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rotation = Point3D(2, 50, -9)
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}
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```
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
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
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Now, let's create a cone surface and set all it's properties:
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```kotlin
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coneSurface(30, 25, 10, 10, 8,0f, pi*3/4, name = "cone surface") {
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color("fuchsia")
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rotation = Point3D(2, 50, -9)
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}
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```
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
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
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### 5) Cylinder
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This solid is set by `radius`, and `height`. As you can see by accepting values, there's no option of building fragments of cylinders.
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Here's a demonstration of a cylinder:
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```kotlin
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cylinder(40, 100, "cylinder"){
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rotation = Point3D(40, 0, 0)
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color("indigo")
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}
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```
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
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
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### 6) Tube
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`tube` takes in `radius`, `height`, `innerRadius`, `startAngle`, `angle`, and `name`. *All values are familiar from `cone`, and `coneSurface` solids.*
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Here is an example of classic tube:
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```kotlin
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tube(50, 40, 20, name = "usual tube"){
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opacity = 0.4
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}
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```
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
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This is an example of tube fragment:
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```kotlin
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tube(50, 40, 20, 0f, PI, name = "fragmented tube"){
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color("white")
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}
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```
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
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### 7) Extruded
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