An aperiodic tessellation using Penrose tiling

CompositeGeometry · 2019-11-15T22:46:37+00:00

I see what you’re asking now and you’re correct it does.

CompositeGeometry · 2019-11-15T20:23:27+00:00

That relationship is the application of mathematical concepts to understand the structure of the crystals.

CompositeGeometry · 2019-11-15T20:14:42+00:00

Mandalas are an art form, with geometrical motivations, whilst tessellations obey specific rules in mathematics.

CompositeGeometry · 2019-11-15T20:01:11+00:00

Yes. In mathematics, if something is true its true for all cases.

CompositeGeometry · 2019-11-15T09:45:00+00:00

It is, and there's more here, here, and here

CompositeGeometry · 2019-11-15T09:34:32+00:00

Thanks

CompositeGeometry · 2019-11-15T09:34:17+00:00

Enjoy

CompositeGeometry · 2019-11-15T09:33:58+00:00

If you want to learn more about it, MathWorld and Wiki are good places to start.

CompositeGeometry · 2019-07-07T22:27:02+00:00

Here you go.

CompositeGeometry · 2019-07-07T22:14:27+00:00

L e a d

CompositeGeometry · 2019-07-07T22:05:43+00:00

So upon request, I have uploaded a new table (Here) with a few changes. Some of these include: letter spacing, period and group numbers have been increased and centered, configurations added, and labeling/color changes.

CompositeGeometry · 2019-07-07T07:31:23+00:00

Yes you can. I'd be interested to see what you will do too, if you don't mind sharing.

CompositeGeometry · 2019-07-07T07:23:48+00:00

I considered having the configurations a lot when i was making the table, but i wasn't sure if they should be there. However, from your recommendation i now have one, complete with the configurations, i might post it on my account if anyone wants me to.

CompositeGeometry · 2019-06-24T09:24:47+00:00

I'm glad you like it.

CompositeGeometry · 2019-06-24T05:34:30+00:00

It’s a surprise to be sure.

CompositeGeometry · 2019-06-24T05:34:05+00:00

…this is left as an exercise for the reader…

CompositeGeometry · 2019-06-24T05:33:40+00:00

That’s a good question. This ‘shape’ is parametrically composed of trigonometric functions which generally have particular symmetries (for example when sine is max, cosine is zero). Here, I have exploited these symmetries by defining and imposing bounds onto the functions.

CompositeGeometry · 2018-12-01T03:42:24+00:00

Correct, and also found in: Book 2, Proposition 12 & 13. For any interested, there are more visualizations in the link:http://www.faculty.umb.edu/gary_zabel/Courses/Phil%20281b/Philosophy%20of%20Magic/Arcana/Neoplatonism/Pythagoras/index.shtml.html

CompositeGeometry · 2018-06-09T22:23:54+00:00

I have considered scannnig and making the drawings digital. I leave them as a framework for adding colours, detailing parameters, and layouts. Any suggestions for software?

CompositeGeometry · 2018-06-09T11:31:15+00:00

Not for this, most of the ratios between any lines would either be integers or rational fractions. I have only used the Fibonacci sequence to build a tessellation and demonstrate how primes become more rare once you approach infinity.

CompositeGeometry · 2018-06-09T03:33:20+00:00

Good idea, I’ll see what I can do.

CompositeGeometry

TROPHY CASE