Question

Do the $2^n$ hyper-octants of a $n$-sphere always have a $n$-dimensional right angle? Is $\pi/2$ only fundamental in $2$ and $3$ dimensions?

score 272 · Answer 1 · 2026-03-13 07:32:57

272

Views

Do the $2^n$ hyper-octants of a $n$-sphere always have a $n$-dimensional right angle? Is $\pi/2$ only fundamental in $2$ and $3$ dimensions?

Published on 13 Mar 2026 - 7:32

score 479 · Answer 2 · 2014-11-02 19:57:50

479

Views

Is this a true statement?

Published on 02 Nov 2014 - 19:57

score 136 · Answer 3 · 2014-11-03 11:49:06

136

Views

Show that $\int_0^r \frac{\mathrm{d}t}{\sqrt{r^2 - t^2}} $ is independent of $r$

Published on 03 Nov 2014 - 11:49

score 514 · Answer 4 · 2014-11-04 00:47:45

514

Views

$\pi$ normal to the base $10$

Published on 04 Nov 2014 - 0:47

score 1.2k · Answer 5 · 2014-11-04 16:35:43

1.2k

Views

(UPDATED) Why didn't Archimedes further approximate $\pi$ this way (or did he)?

Published on 04 Nov 2014 - 16:35

score 161 · Answer 6 · 2026-03-26 09:39:09

161

Views

How to make π degree angle?

Published on 26 Mar 2026 - 9:39

score 8.1k · Answer 7 · 2026-03-25 14:06:24

8.1k

Views

Relationship between Pi and Phi using the Great Pyramid of Giza?

Published on 25 Mar 2026 - 14:06

score 355 · Answer 8 · 2014-11-08 20:12:48

355

Views

What is the probability of getting the exact number of expected digits ($0-9$) in $10^6$ digits of $\pi$?

Published on 08 Nov 2014 - 20:12

score 1.2k · Answer 9 · 2026-03-25 14:22:42

1.2k

Views

Is it known if $\pi + e$ is transcendental over the rational numbers?

Published on 25 Mar 2026 - 14:22

score 3.8k · Answer 10 · 2014-11-11 16:44:12

3.8k

Views

Could we calculate pi using an iterative series

Published on 11 Nov 2014 - 16:44

score 102 · Answer 11 · 2014-11-13 13:56:44

102

Views

Evaluate the integrals in $\int_{0}^{1} \frac {x^4(1-x)^4}2\, dx \le \int_{0}^{1} \frac {x^4(1-x)^4}{1+x^2}\, dx \leq \int_{0}^{1} {x^4(1-x)^4}\, dx$

Published on 13 Nov 2014 - 13:56

score 153 · Answer 12 · 2026-03-26 11:06:10

153

Views

An Inequality involving integration

Published on 26 Mar 2026 - 11:06

score 347 · Answer 13 · 2014-11-16 14:00:18

347

Views

Will the Declaration of Independence ever show up in pi?

Published on 16 Nov 2014 - 14:00

score 214 · Answer 14 · 2014-11-20 15:29:14

214

Views

Can $\pi$ be a ratio of angles?

Published on 20 Nov 2014 - 15:29

score 50 · Answer 15 · 2026-03-26 21:08:50

50

Views

Does the perimeter of a 2-D object "count" toward its area?

Published on 26 Mar 2026 - 21:08

List Question

Do the $2^n$ hyper-octants of a $n$-sphere always have a $n$-dimensional right angle? Is $\pi/2$ only fundamental in $2$ and $3$ dimensions?

Is this a true statement?

Show that $\int_0^r \frac{\mathrm{d}t}{\sqrt{r^2 - t^2}} $ is independent of $r$

$\pi$ normal to the base $10$

(UPDATED) Why didn't Archimedes further approximate $\pi$ this way (or did he)?

How to make π degree angle?

Relationship between Pi and Phi using the Great Pyramid of Giza?

What is the probability of getting the exact number of expected digits ($0-9$) in $10^6$ digits of $\pi$?

Is it known if $\pi + e$ is transcendental over the rational numbers?

Could we calculate pi using an iterative series

Evaluate the integrals in $\int_{0}^{1} \frac {x^4(1-x)^4}2\, dx \le \int_{0}^{1} \frac {x^4(1-x)^4}{1+x^2}\, dx \leq \int_{0}^{1} {x^4(1-x)^4}\, dx$

An Inequality involving integration

Will the Declaration of Independence ever show up in pi?

Can $\pi$ be a ratio of angles?

Does the perimeter of a 2-D object "count" toward its area?

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