AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |
Back to Blog
Weird shapes1/10/2024 A sphere is a 3-D analog of a 2-D circle and a tetrahedron is a 3-D analog of a 2-D triangle. The construction of shapes gives them a unique hierarchy, where particular shapes have analogs at different dimensions. Similarly, a 3-dimensional cube is composed of 2-dimensional squares, a 4-dimensional hypercube is composed of 3-dimensional cubes, etc. For example, a 2-dimensional square is made out of 1-dimensional lines. Second, all shapes of N dimension are composed out of elements of N−1 dimensions. Things like 1-dimensional lines or 0-dimensional points do not have an area and do not count as shapes. First, all shapes are at least 2-dimensional. There are many different kinds of shapes but all shapes share a few properties. Shapes are one of the first things that human babies learn to recognize and according to many philosophers and scientists throughout history, the study of shape, and geometry more broadly, is one of the few instances where the human mind can come into direct contact with ultimate reality. Isaac Newton appealed primarily to geometric laws and shapes to construct his system of mechanics and Einstein’s greatest work involved describing the large-scale geometric shape of the universe. Ancient Egyptians understood the unique properties of different shapes and incorporated those insights into their monumental constructions like the pyramids, and the Greeks considered abstract geometric shapes to be among the most fundamental constituents of existence perfect idealizations of their imperfect material counterparts. Shapes have been studied by people since before recorded civilization. In more mathematical terms, one can think of the shape of an object as the mathematical description that remains when information about the location, scale, and orientation, and material properties of an object are abstracted away from. According to this intuitive understanding, the shape of an object is the external form or appearance of an object in space that can be represented by a set of lines oriented in some way. Intuitively, one can think of shape as a set of lines that enclose a space. The geometric shapes and their names below give you a general sense of what you will find in any given geometry classroom. I have no idea what is going on internally, but it might be an improvement if the add routine had a minimum distance parameter that allowed objects less than, say, 100th a pt to be ignored.One of the properties of objects that geometry studies is their shape. The time it takes to tweak the outline still does not exceed whittling away the excess objects. So if you just add the expanded strokes together, it is somewhat less irksome to delete the over lapping parts nodes. sometimes, they are just 2 nodes a 1000th pt apart. When they are added together, the miniscule differences are not ignored, and very tiny curve objects are created. The divide routine created outlines that did not perfectly match the pre-existing arcs. The problem you are seeing is when the shapes are added back together. So I can't comment on how they operate in this situation.įrom what I can tell, the divide operation creates new shapes, and tries to fit the paths to close to what they were based on the original curves. I don't use Inkscape much, and haven't used Illustrator for years. I could draw shapes around the overlapping parts and use "subtract", but this is very time consuming. I could use the eraser in the pixel persona, but this only creates a mask which is not apply-able, so nothing is actually deleted. ![]() ![]() I really like AD and I already bought the license, but this becomes more and more an issue and I am not able to work the way I want to. These gaps seem to be more than just a render issue. In Inkscape this would be one continuous shape, but in AD the gap seem to be an issue when adding the shapes back together. I have added a testfile to this post so you can see the problem. The shape looks like a normal shape, but when you try to add a border around the newly created shape, you get weird results. The resulting shape has paths that "flow" into each other. These gaps seem to cause a problem when adding all the remaining shapes together. After the divide operation, you can see little gaps (I know it has to do something with the render engine). Now I have little pieces, that can be deleted. Normally I would delete the overlap with an eraser tool, but AD doesn't have such a tool, so I select all the strokes and divide them. ![]() Coming from Inkscape and knowing Adobe Illustrator I never seen the following problem, but it really gets annyoing:
0 Comments
Read More
Leave a Reply. |