It's possible to carve a hole through a unit cube, without splitting it into pieces, so that another unit cube can pass through that hole.  This is know as the Prince Rupert problem and was first analyzed by John Wallis, a contemporary of Isaac Newton.  Here's what the result looks like:

If your computer can play audio, have a look at  Ruperts Cube with music!

Here is the worksheet that produced the cube and the animation: ruperts-cube.mw

Solving an ode, dsolve says it used exact method and gives two solutions as result (correct result).

But when asking dsolve to solve same ode but now specifying that it uses exact method (i.e. same one it used itself before), now it gives one solution only, not two as before.

Why is that? Should not both commands give same result? i.e. two solutions?

Download why_different_solutions_maple_2025_1_oct_22_2025.mw

I've been using the $include statement when using code written in Visual Basic Editor for packages quite extensively, and this works very nice.

Would it be possible to outsource code to external files for code not in packages / libraries as well? If yes, how would this be done?

In the below I was looking for an explanation why D is not printed in italic whereas I does.

After the local call D and I are both symbols but not printed the same way. Why is that?

Download local_D_still_roman.mw

i have out come with different coieficent  i can do by hand one by one seperate them and make them equal to zero but how i can make  list of equation  with leading term is apear  too not just the equation i have to know which related the equation and leading term too, then find unkown coiefficient?

system.mw

When solution was obtained using earlier call to solve with _EnvAllSolutions := true: set, then odetest givens internal error.

When _EnvAllSolutions := false: then no error.

Why? And is there a workaround so I can use _EnvAllSolutions := true: but have odetest still work?

Download odetest_fail_when_using_envAllsol_maple_2025_1_oct_21_2025.mw

At the beginning was this problem asked to 11th-12th Grade students:
 

Let C a vertical cylinder of radius R_C = 10, and S a steel sphere of radius R = 4.
We place S into C and fill it with water up to the moment the water reaches the top of S.
Let V the volume of the water we used.
We then remove S and replaces it by another steel sphere S' with radius R' <> 4. Could it be that the free surface of the water reaches exactly the top of S'?
If it is so what is then the value of R'?

Mathematically does the equation (𝝅R_C²) ⨯ (2R) - (4 𝝅R_S³/3) = (𝝅R_C²) ⨯ (2R') - (4/3 𝝅R^'3), where R_C = 10 and R = 4, have other strictly positive solutions than the trivial one R' = R?

The answer here is yes: R' = 552^1/2 -2 ≅ 9.7473.. .

When I read this problem, I immediately asked myself the following question "Does a second sphere S' always exists whatever the values R_C > 0 and R ∊ (0, R_C]?".

In the attached worksheet I used two different Maple tools to answer this question:

• firstly solve+assumptions plus plots:-inequal to visualize the (R_C, R) domain where S' exists,
• next solve/parametric to present another way to get the characterization of this same domain.

The problem is that solve+assumptions and plots:-inequal both give the same correct result but solve/parametric does not.
PlotsInequal_vs_SolveParametric.mw

For this specific problem solve/parametric fails finding the correct result.
Is that a bug or did I misuse it?

Thanks in advance

The nice addition added to Maple 2022 in this  post made it clear that c__1 and _C1 are the same under the cover.

But then why in Maple 2025.1 it does not give this?

I found this when I was trying to find constants of integrations in solution of an ode, and used 

                 indets(sol,And(symbol, suffixed(_C, nonnegint))); 

Which did not find the constants of integration, since I happened to have typed the solution using c__1 and not _C1, but I thought they are the same.

Did something change or I still dont understand well the difference between c__1 and _C1 ?

Worksheet below.

Download why_c1_and_C1_not_same_oct_19_2025.mw

Update

Found out why. This only works if one calls dsolve() first.  Here is an example

Download why_c1_and_C1_not_same_oct_19_2025_V1.mw

But this is really confusing. c__1 before calling dsolve is not the same as c__1 after calling dsolve.

It will be better if Maple is changed such that these work the same all the time without having to call dsolve() first.

Hi again everybody,

Made some easy Maple code to find some special prime numbers.

Namely, positive prmie numbers p 
such that p, p+2, and p+6 are all prime numbers

see prime_triples_p_p_and_2__p_and_6.mw

prime_triples_p_p_and_2__p_and_6.pdf

for your viewing pleasure

Have a good day.

Matthew

With the new ribbon interface (and startup-page disabled) I need to open a new worksheet to make opening files by the recent document menu work.

Can someone reproduce this?

I write text in Trebuchet MS. When inserting footers I have noticed that the print preview displays page numbers not with the same font (most likely in Times New Roman).

How to change the font of page numbers and other items in headers and footers?

Maple help does not have an example I could find showing the right way to call method, which is meant to be called only from the constructor the object, before the object is fully build.

Help page does not have such example.

This worksheet shows 3 possible ways to do this. All seem to work fine. I am sure one can come up with more variations.

The question is, which one of these calls is the "right" way?

The method called from the constructor in this example is called process_age().

If someone knows an official Maple documentation showing one example of calling  a proc from constructor that will also help.

Download correct_way_to_call_method_from_constructor_oct_17_2025.mw

I have a Pascal program. I want to use a Maple program inside the Pascal program when calling it each time. I dont know how to interact Maple with Pascal. For this, could you give me over a small program? Yours Sincerely

The pair of symbols that stand for "isomorphic" and "not isomorphic" - basically equality sign with a tilda on top - seem to be conspicuously absent from all the palettes that I've seen. Is it hidden somewhere I failed to find it or actually absent - and if latter, is there any reason for that ? It seems to be a rather basic symbol, especially compared to much more niche stuff in "Relational" palette. 

Another conspicuously absent symbol is "not a subset". We have good old subset, and a "notSquareSubset" but I couldn't locate the "not a subset" in any palette. 

Less critical but still noticeable is absence of various arrows indicating surjectivity, injectivity and bijectivity. 

Is there perhaps a workaround to typesetting all of the above ? Copying from another document works usually but it's not a very convenient way. And if they are actually absent, perhaps we could ask the good folks at Maple to add them for the next update if it's not too much trouble ?

Isomorphism symbol : ≅
"Not a [proper] subset" symbols :  ⊈ ⊄
Arrows : in LaTex, \rightarrowtail \twoheadrightarrow \twoheadrightarrowtail 
Arrows

How Maple 2023 displays new results with old results together