cancel
Showing results for
Did you mean:
cancel
Showing results for
Did you mean:

Community Tip - Did you know you can set a signature that will be added to all your posts? Set it here! X

24-Ruby IV

## Tree ovals - mean, gmean & hmean

Tree ovals: mean - ellipse, gmean - Cassini oval & hmean - ???

Has the 3-d oval a name?

Solution without animation is not solution!

1 ACCEPTED SOLUTION

Accepted Solutions
5-Regular Member
(To:ValeryOchkov)

For the hmean (d=-1) I think it is the Cayley oval!

https://mathcurve.com/courbes2d/cayleyovale/cayleyovale.shtml

20 REPLIES 20
24-Ruby IV
(To:ValeryOchkov)

d-ellipse

d=1 - normal ellipse

d=0 - Cassini oval

d=-1 - see above (hmean)

24-Ruby IV
(To:ValeryOchkov)

With 3 focu

24-Ruby IV
(To:ValeryOchkov)

Zoom - three petals of Bernoulli lemniscate

24-Ruby IV
(To:ValeryOchkov)

One more animation - new lemniscates!

24-Ruby IV
(To:ValeryOchkov)

Ellipse and Kolmogorov's ellipse

24-Ruby IV
(To:ValeryOchkov)
24-Ruby IV
(To:ValeryOchkov)

An ellipse, a Cassini oval and Point oval

24-Ruby IV
(To:ValeryOchkov)

2 foci and 7 Ovals - only rigth part.

24-Ruby IV
(To:ValeryOchkov)

The end - we have three circles at d= -1 (the harmonic oval), d=-2 (no name) and d=-3 (no name too).

What curve we have at d=3? (d=2 - a circle, d=1 - an ellipse, d=0 - a Cassini oval)

24-Ruby IV
(To:ValeryOchkov)

4 foci, 7 ovals. d=3, 2 (circle), 1 (elipse), 0 (Cassini oval), -1 (my oval), -2, -3.

24-Ruby IV
(To:ValeryOchkov)

Nice too

Can you do it with more than 4 foci - 5, 6, 7 Etc

24-Ruby IV
(To:ValeryOchkov)

Seven ovals - d = 3, 2, 1, 0, -1, -2 & -3 - 4 foci

24-Ruby IV
(To:ValeryOchkov)

New new ovals mean, gmean and hmean(L1, 2 L2)

24-Ruby IV
(To:ValeryOchkov)

Triple lemniscate

24-Ruby IV
(To:ValeryOchkov)

24-Ruby IV
(To:ValeryOchkov)

# Exponentiation oval

24-Ruby IV
(To:ValeryOchkov)

5-Regular Member
(To:ValeryOchkov)

For the hmean (d=-1) I think it is the Cayley oval!

https://mathcurve.com/courbes2d/cayleyovale/cayleyovale.shtml

24-Ruby IV
(To:MaxNori)

triginimetric ovals

24-Ruby IV
(To:ValeryOchkov)

Exponential ovals

Announcements
Top Tags