Math Is Fun Forum

Sorry, KerimF, but I don't know why you can't see certain images, nor how to solve that problem. 

Hi KerimF;

Do you see these 2 images that I'm posting from down here in Australia? I'm just wondering if Bob's locality (the UK) has anything to do with both you and the OP not being able to see his images.

So here they are (using my PC, I hovered my mouse over each image in Bob's post #15, right-clicked, selected 'Copy image address', and pasted the address into this post (#19) between 'img' tags):

1   

2   

Btw, the file host for the image in post #1 is Imgur, while for posts #4, #8, #10 & #15 it's Postimages. Bob & I have switched from Imgur because "from September 30, 2025, access to Imgur from the United Kingdom is no longer available" (see here). We now use Postimages...we'll see how that goes.

Here are other troubleshooting options I thought I'd try, this time using links from my Postimages account, into which I uploaded them just today:

There are 2 images in this main post and 2 in each of the 'Hide' tags...and I can see all 6 images (with my sunglasses on or off).

How about anyone else? Which images can you see?
Please let me know (I've numbered them all).

Hi Bob;

I did exactly as you did, testing all the Postimages link options, but had to go out before I could post about it...and you beat me to it.

We really need to have Hannibal's answers to your questions before going much further, but here's some info anyway in case it helps:

     - My Android smartphone gives me several options if I do a long press on your image: eg, 'Download image', 'Copy image', and 'View image'.
     - On my PC, right-clicking your image also gives some options: eg, 'Save image as' and 'Copy image'.

Btw, I've noticed you've changed your image to a better quality one.

EDIT: Something I should've said about my test results that might be helpful: any Postimages link that displayed just your image here on MIF did so only when BBCode 'img' tags were used. When used outside of MIF, any links that displayed the image at all always showed it within a full Postimages web page (along with other content).

Hi Bob;

From Reddit.com's Imgur blocks access to UK users after proposed regulatory fine:
     A help article on Imgur's US website, seen by the BBC, states that "from September 30, 2025, access to Imgur from the United Kingdom is no longer available".
     "UK users will not be able to log in, view content, or upload images. Imgur content embedded on third-party sites will not display for UK users."

https://postimages.org/, and so far, so good (well, nearly). Some points:
1. Registering enables using galleries.
2. Their hotlinks don't include a BBCode img-tag option. Using the last drawing in my post #19 above:
    (a) This is their Direct link code (fix: just add the img tags to that code):

https://i.postimg.cc/XvG40LTx/4a.png

    (b) This is their Hotlink for forums code (fix: just delete the url tags from that code):

[url=https://postimages.org/][img]https://i.postimg.cc/XvG40LTx/4a.png[/img][/url]

    The fix for both cases (a) & (b) above gives the following code:

[img]https://i.postimg.cc/XvG40LTx/4a.png[/img]

3. Image resizing is possible (but limited), and must be done before upload (Imgur's is after upload, making results easier/faster to analyse). Also, their resize compression spoils the image somewhat, and so I pre-sized the post #19 images with IrfanView (my image viewer) for better quality.

I'm now very happy that I have originals of all my Imgur images in a folder (have done similar for Postimages). That way, my images are always available for alternative file host solutions, should the need arise.

Hi Bob,

Yes...but only after googling it a few moments ago.

From Reddit.com: Imgur blocks access to UK users after proposed regulatory fine.

Not sure exactly what to do about that from down here, but Reddit gives some suggestions for UK-ians: Imgur alternatives for UK users.
Well...that's all VERRRRRRY annoying!!!!!!

EDIT: I'm trying another file host: https://postimages.org/, and have changed the images in this thread over to them. Do my images show up for you now? There are 5 in post #19, 1 in post #18, & 1 hidden one in post #4.

Hi mycalsuite;

By "not uniquely fixed", do you mean that multiple solutions are possible?

If so, do you have an example you could post?

Bobbym (OP), thickhead, ElainaVW and I have all arrived at the same single solution, ElainaVW's 2500√3(169+60√3) being slightly less simplified than the others' 2500(180+169√3).

Here's the Geogebra drawing I mentioned in post #4:

The Geogebra measurements check out...

Hi Bob;

Isn't each of your 20 lines a distinct permutation, making 20 ways?

If so, that yields 20 * 3 = 60...and 60 + 90 = 150.

Hi all;

I've added post #4 to the thread that ktesla39 gave the link to.

In that post I included steps of how I used Imgur to display the image that appears there.

Done on my smartphone, a Samsung Galaxy A35.

Hi Paul;

I don't know the reason for that happening here on MIF , but this is what I do to get the approx size I want for my display:

1. Crop out what I don't need displayed (using M$ Paint, or some such). Cropping your image reduced it from 800px x 1778px to 743px x 530px, which removed about 72% of the original area!
2. Upload the cropped version to Imgur.
3. Enter Imgur's BBCode image link into my MIF post, and before pressing Submit, click Preview to assess image size.
4. If I want to change the image size, then immediately before the full stop of the image extension (eg, .jpeg, .png) I insert one of the following letters:
     s (Small square)
     b (Big square)
     t (Small thumbnail)
     m (Medium thumbnail)
     l (Large thumbnail)
     h (Huge thumbnail)

I copied your image, cropped it, and uploaded it to my Imgur.

To resize that image from original to medium, its original link https://i.imgur.com/8adTo66.jpg would become https://i.imgur.com/8adTo66m.jpg (note the inserted 'm' before the extension's full stop).

Here's the cropped image at original size:

And here's the image shrunk to medium size:

And here are the displays for all 7 size options (including the original) based on the cropped rectangular image I uploaded to Imgur:

You'll notice that the left and right sides of the 'small square' and 'big square' images are cropped. Unfortunately, Imgur does that automatically on rectangular images whose width exceeds their height, so if such cropping matters, either:
(a) don't use the 'small square' or 'big square' options on the rectangular image, or
(b) convert the rectangular image to a square (eg, by adding false top &/or bottom with image software).

I've used Imgur since 2017, and think it gives a very good file host service.
They've changed their webpage layout to a somewhat confusing one that I haven't totally sussed out, but (lucky for me) on one of their pages (I forget which one) they give an option to use their old style...which I select straight away!

I don't know of a better alternative file host.

I use a PC &/or laptop. I've only had a 'smart'phone for a few months and am still learning it, so if you're on one of those things and have Qs about what I've said, we may need someone else (Bob?) to help out.

Hi punhub85;

Yes...the adverbial forms of the two adjectives you mentioned ('facecious' & 'abstemious') fit: 'faceciously' & 'abstemiously'.

For hyphenated words, there's also the adverb 'half-seriously' (from the adjective 'half-serious').

Collins Dictionary (a British dictionary) has 'halfseriously' but not 'halfserious', only the hyphenated 'half-serious'!

The unhyphenated 'halfseriously' is valid in Scrabble games where British words are used.

I've done the following in Excel (spreadsheet...by hand, coz I don't know how to code progressive dinners):

Guests are numbered 1-28, and are colour-coded green (1-7), peach (8-14), blue (15-21), pink (22-28).

All guests attend all 4 courses and all 4 houses (the image shows all guests 1-28 in each of the courses and in each of the houses). They do this in groups of 7 (of which there are 16, all unique).

No one attends...
(a) the same house more than once, nor
(b) the same course more than once.

Everyone...
(a) fails to meet many of the other guests, and
(b) meets several guests more than once (the colour-coding helps identify that).

Same here...

Echo_23's last post (#13) appends a paragraph that doesn't appear in paulb203's post #1...