Geometry

aplesch's picture

general smoothness

Submitted by aplesch on Mon, 02/11/2015 - 08:18
smooth gear

Getting gears to appear smooth by explicitly assigning indices to the generated facets got me thinking in more detail of how to accomplish this result in general, for any facets drawn in face mode by turtle graphics.

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smoother gears

Submitted by aplesch on Fri, 30/10/2015 - 07:33
smoother tooth

Trying to get a smoother appearance for the curved gear teeth involves lessons both in logo programming and in the underlying 3d display technology.

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3d involute gears

Submitted by aplesch on Wed, 21/10/2015 - 07:30
3d gears

As an update to the 2d involute (curved teeth) gears, I modified the program to produce 3d (extruded) gears. This required a change in drawing tactics.

Andy's picture

Spur gears

Submitted by Andy on Tue, 20/10/2015 - 21:51
Spur gear set

Finally, not perfect at all but working gear set in 3D. Thanks to asplech's blog about involute gear and this Spur Gear document, I finally get to know better about these cogged wheels.

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involute gear

Submitted by aplesch on Fri, 16/10/2015 - 22:49
two gears

It turned out that producing a set of involute gears requires quite a bit of geometry in addition to involutes.

Andy's picture

Gear 2D Prototype

Submitted by Andy on Mon, 12/10/2015 - 12:00
gear2d prototype

Following the circle involute blog, I thought about creating a gear procedure for easy creation of different gears. The method used is quite differnt to the involute idea but the turtle geometry way of thinking and doing the gears. This prototype procedure utilised a simple regular poygon formula (repeat :sides [ fd 1 rt 360/:sides ]) and some built-in commands such as TOWARD and SETHEADING to rotate the turtle and get the directions needed.

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Palm Tree Leaf

Submitted by Andy on Sun, 11/10/2015 - 12:51
Palm tree leaf

Outsite my office window, there are many palm trees. I thought about making one so it may be reused later to make a full tree.

aplesch's picture

circle involute

Submitted by aplesch on Fri, 09/10/2015 - 06:50

As part of a project to make a nice gear mesh with logo, I wondered how to generate the involute of a circle.

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Flying Boxes

Submitted by aplesch on Wed, 07/10/2015 - 00:07

A surprise happened when I was trying to use nested transforms.

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A paper dragon

Submitted by aplesch on Mon, 05/10/2015 - 15:41
a dragon

 

The dragon curve is a fractal which is defined by replacing a segment of the curve with a (smaller) version of itself.