Your calm, focused methodology is so pleasant to watch. Thanks for the unique content!

@mistercorzi

6 ай бұрын

Thanks for the compliment - glad you enjoyed the video - spread the word!

At last, someone who has got their facts right! Thank you so much for this, it really has made my day. As someone else already commented, alternating protrusions and intrusions, whether asymmetric or symmetric will work just fine, as they are really just glorified notches. Also, isometries allow reflections but as far as I know, don't enforce them. So from a seemingly boring periodic polygon that was instantly dismissed (even by me at first) turns out to be something very special, a first of its kind. Best regards, David Smith.

@mistercorzi

Жыл бұрын

Thanks for the kind comments and congratulations on your remarkable discovery. I would imagine you're somewhat astonished at all the publicity you and the other authors are receiving. Keep on tiling ... who knows what's next!

@JellyMonster1

Жыл бұрын

@@mistercorziThank you. For me, the public response to the Spectre has strangely been pretty low key. In truth, this whole adventure would have gone nowhere without the dedication and hard work that Craig, Chaim and Joseph put in. They were immense! Your Inkscape tutorial was very instructional. Does the program have the option of a large cursor that fills the entire screen, horizontally and vertically? Dave S.

@mistercorzi

Жыл бұрын

I don't think so within the software itself. But on a Mac from the 'System Preferences' under the 'Display' settings in 'Accessibility' you can alter the size of the cursor (but not to fill the screen!). The new size transfers to the software. I believe Windows has a similar facility.

If you're going to make a tiling with these I recommend the setting "only snap the node closest to the pointer" in edit->preferences->behavior->snapping. Makes it much easier to snap as inkscape snapping tends to fail when there are many nodes.

@mistercorzi

Жыл бұрын

I've noticed that - with large patches of tiles snapping can fail. Thanks for the advice.

Thanks, it's very cool the way you've made this seemingly crazy odd shape so logical and accessible.

@mistercorzi

Жыл бұрын

Thanks - comment much appreciated

You are a wonderful teacher. Thank you & much love from Victoria, BC, Canada.

@mistercorzi

Жыл бұрын

Thanks for that encouraging feedback Mark

It's not necessary to give the edges an asymmetric shape, since the modification alternates between inward and outward bulges. If you try to tile this shape with its mirror image you would need to pair edges with both inward or both outward bulges, which doesn't fit.

@mistercorzi

10 ай бұрын

Absolutely! - I corrected this in pop-up in video. Thanks

Great video, but one correction. You said the curve has to be skewed or non symmetric. That's not true. Any curve will work.

@mistercorzi

Жыл бұрын

Thanks - you are right. I've added a correction to the video (hopefully it will appear soon)😀

I think that the 1:1 ratio tile that is used as the basis for the spectre should have its own name as its often overlooked and its key to understanding and explaining how the spectre is arrived at. I would call it the "kitten paw"

@mistercorzi

Жыл бұрын

Absolutely agree. It's not so catchy just to refer to it as Tile(1,1) which is how Craig Kaplan refers to it.

wow, never knew it could be constructed from 30 degree angles. though i should have expected that since it was like that for the hat...

Thank you !

@mistercorzi

Жыл бұрын

You're welcome!

I noticed that the tiling you started to construct at 6:50 cannot go much further. Great video otherwise :)

Do you know if there is a automatic tiling for creating larger areas?

@Tarou9000

10 ай бұрын

That's a very great question! There probably are methods that take advantage of Einstein's mono-hirarchy and recursion

You seem to be using the word "chiral" in the opposite way of its official definition. Chiral means it DOES have a mirror version of itself, achiral means it DOESN'T. I remember learning the word in chemistry back when I was in college, and I also looked it up online just now to double-check and make sure I remembered correctly.

@mistercorzi

10 ай бұрын

Exactly. That's the point. It does have a mirror version and mixing these two will not produce a tiling so the chirality of the tile matters.

@MawdyDev

10 ай бұрын

@@mistercorzi I know, but if your focus is on the achiral/non-mirrored monotiles, then why would you advertise chiral/mirrored monotiles in the title of the video?

@mistercorzi

10 ай бұрын

For tiling to be possible the chirality of the tile is important. An achiral tile is one that is identical to its mirror image. The Spectre tile is not achiral.

@MawdyDev

10 ай бұрын

@mistercorzi ohhhh, I misunderstood. For a minute, I thought "requires mirror for tiling" = "has distinct mirror" Kinda forgot some shapes can be symmetrical lmao I need to get more sleep, sorry for the confusion