| Deutsch English Français Italiano |
|
<vaohnv$3li19$4@dont-email.me> View for Bookmarking (what is this?) Look up another Usenet article |
Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Unit fractions...
Date: Wed, 28 Aug 2024 18:09:19 -0700
Organization: A noiseless patient Spider
Lines: 37
Message-ID: <vaohnv$3li19$4@dont-email.me>
References: <vaohb6$3li18$2@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Thu, 29 Aug 2024 03:09:20 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="98c6004928f46df0abe90729ccf8af51";
logging-data="3852329"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+Cx7O/lfQFsSw65UwWQKNUq6eqAADlZR8="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:Enp6KYs3uMwVwE1DufakxonrL+Y=
In-Reply-To: <vaohb6$3li18$2@dont-email.me>
Content-Language: en-US
Bytes: 2025
On 8/28/2024 6:02 PM, Chris M. Thomasson wrote:
> Just a little plot I did for Moebius and WM using unit fractions on any
> line in n-ary space. 3d here...
>
> https://i.ibb.co/9n71tZf/ct-pov.png
>
> https://i.ibb.co/0hXnPpf/ct-pov.png
>
_______________________
void
ct_unit_fractions(
ct::pov::pov_file& scene,
vector_field& field,
glm::vec3 p0,
glm::vec3 p1,
unsigned long n
) {
glm::vec3 pdif = p1 - p0;
glm::vec3 pperp = { pdif.y, pdif.x, pdif.z };
scene.dump_cylinder(p0, p1, .01, { 1, 0, 0 });
for (unsigned long i = 1; i < n + 1; ++i)
{
float normal = 1.f / i;
glm::vec3 c0 = p0 + pdif * normal;
glm::vec3 c0_perp0 = c0 + pperp * normal;
glm::vec3 c0_perp1 = c0 - pperp * normal;
scene.dump_sphere(c0, .02, { normal, 1 - normal, 1 });
scene.dump_cylinder(c0, c0_perp0, .01, { 1, 1, 0 });
scene.dump_cylinder(c0, c0_perp1, .01, { 1, 0, 1 });
}
}
_______________________