2D Spline Shapes

The following //ezsp subcommands feature splines from predefined 2D shapes swept along the spline path.

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Syntax

//ezspline 2d <shape> <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

• <shape> : The 2D shape defines the cross-section of the spline. Choose one from the list below.

• <pattern>: Specifies the block(s) the spline is made out of, e.g. clay.

The remaining arguments are outlined on the Common Parameters subpage.

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List of <shape>s

Circle (Ci)

Square (Sq)

Diamond (Di)

RoundedSquare (RS)

SuperCircle (SC)

CirclesCircle (CC)

Polygon (Po)

Rectangle (Re)

Star (St)

Flower (Fl)

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//ezspline 2d`` Circle (Ci)(//ezspline basic)

Circle Spline

//ezsp 2d Circle <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a simple cylindrical spline along the spline path.

• Cylinder shape has no parameters.

//ezsp basic is an alias of //ezsp 2d Circle.

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//ezspline 2d`` Square (Sq)

Square Spline

//ezsp 2d Square <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a simple square-shaped spline along the spline path.

• Square shape has no parameters.

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//ezspline 2d`` Diamond (Di)

Diamond Spline

//ezsp 2d Diamond <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a simple diamond-shaped spline along the spline path.

• Diamond shape has no parameters.

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//ezspline 2d`` RoundedSquare (RS)

RoundedSquare Spline

//ezsp 2d RoundedSquare <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a simple rounded square-shaped spline along the spline path.

• RoundedSquare shape has no parameters.

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//ezspline 2d`` SuperCircle (SC)

SuperCircle Spline

//ezsp 2d SuperCircle([Exponent:<value>]) <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a spline with the given super-circle shape as the cross-section along the spline path.

• [Exponent:<value>] (E) (Default: 2.0)

  • Determines the shape.

    • below 1 are stars, 1 is a diamond, 2 is a circle, and above 2 approaches a square shape

  • See https://www.desmos.com/calculator/vewqf5sc0x

Example:

//ezsp 2d SuperCircle(Exponent:0.5) clay 15

This GIF goes through running the above command with the following set of exponent values 0.5, 1.0, 2.0, 3.0, 99.0:

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//ezspline 2d`` CirclesCircle (CC) (//ezspline rope)

CirclesCircle Spline

//ezsp 2d CirclesCircle([Count:<value>],[Filled:<boolean>]) <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates multiple cylinder splines next to each other along the spline path.

• [Count:<value>] (C) (Default: 3)

  • Determines how many circles there are in the circle of circles. Must be between 1 and 12.

• [Filled:<boolean>] (F) (Default: false)

  • Determines whether the inside should be filled or not.

See https://www.desmos.com/calculator/ht9tak6nri

Example:

//ezsp 2d CC(Count:1) clay 15

The following GIF has been generated by just running the above command, and incrementing the Count parameter each time, from 1 up to 10 in this case:

//ezspline 2d CirclesCircle`` -t 90 ``clay 10

The following spline can be generated using the above command, which is simply applying the twist parameter:

Or by using //ezspline rope clay 10

//ezspline rope is an alias for //ezspline 2d CirclesCircle -t 90

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//ezspline 2d`` Polygon (Po)

Polygon Spline

//ezsp 2d Polygon([Sides:<value>]) <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a polygon-shaped spline along the spline path.

• [Sides:<value>] (S) (Default: 5):

  • The number of sides of the polygon. 3 means triangle, 4 means square, 5 means pentagon, etc. Must be at least 3.

  • See https://www.desmos.com/calculator/eemibllcg8

Example:

//ezsp 2d Polygon(Sides:3) clay 15

The GIF has been generated by running the above command, and incrementing the count parameter each time, from 3 up to 8 in this case:

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//ezspline 2d`` Rectangle (Re)

Rectangle Spline

//ezsp 2d Rectangle([X1:<value>],[Y1:<value>],[X2:<value>],[Y2:<value>]) <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a rectangle-shaped spline along the spline path.

• [X1:<value>] (Default: -1.0):

  • Defines the x-position of the first corner of the rectangle. Between -1 and 1.

• [Y1:<value>] (Default: -1.0):

  • Defines the y-position of the first corner of the rectangle. Between -1 and 1.

• [X2:<value>] (Default: 1.0):

  • Defines the x-position of the second corner of the rectangle. Between -1 and 1.

• [Y2:<value>] (Default: 1.0):

  • Defines the y-position of the second corner of the rectangle. Between -1 and 1.

(!) We provide a neat little interactive plot, in which you can position your rectangle and see what values match up to it and vice-versa: https://www.desmos.com/calculator/jqyaujpdsk

Example:

• The "Hi" from above has been generated by running the following set of commands:

  • //ezsp 2d`` Re(x1:-1.0,y1:-1.0,x2:-0.6,y2:1.0) ``clay 12

    • (The left column from the H)

  • //ezsp 2d`` Re(x1:-0.2,y1:-1.0,x2:0.2,y2:1.0) ``clay 12

    • (The left column from the H)

  • //ezsp 2d`` Re(x1:-1.0,y1:-0.2,x2:0.2,y2:0.2) ``clay 12

    • (The horizontal line from the H)

  • //ezsp 2d`` Re(x1:0.6,y1:-1.0,x2:1.0,y2:0.2) ``clay 12

    • (The column of the i)

  • //ezsp 2d`` Re(x1:0.6,y1:0.6,x2:1.0,y2:1.0) ``clay 12

    • (The dot of the i)

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//ezspline 2d`` Star (St)

Star Spline

//ezsp 2d Star([Sides:<value>],[Depth:<value>]) <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a star-shaped spline along the spline path.

• [Sides:<value>] (S) (Default: 5):

  • The number of sides of the polygon. 3 means triangle, 4 means square, 5 means pentagon, etc. Must be at least 3.

• [Depth:<value>] (D) (Default: 0.5):

  • Sets how deep the folds of the star cut towards the center. Between 0 and 1.

  • 0 imitates polygons,

  • Values close to 1 lead to extremely thin spikes.

• (!) See https://www.desmos.com/calculator/gqclaezcxc

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//ezspline 2d`` Flower (Fl)

Flower Spline

//ezsp 2d Flower([Count:<value>],[Depth:<value>]) <pattern> <radii> [-t <angle>] [-p <kbParameters>] [-q <quality>] [-n <normalMode>] [-h]

Generates a flower-shaped spline along the spline path.

• [Count:<value>] (S) (Default: 5):

  • The number of petals of the flower.

• [Depth:<value>] (D) (Default: 0.5):

  • Sets how deep the folds in between two petals of the flower cut towards the center. Between 0 and 1.

• (!) See https://www.desmos.com/calculator/tah7yjltyr

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