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#volute

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Paul Kerrien :bzh:<p><a href="https://piaille.fr/tags/FleurisTonFil" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FleurisTonFil</span></a> je l'avais bien cherché et mercredi je me pris mes premières crosses <a href="https://piaille.fr/tags/volute" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>volute</span></a> de l'année ;) et je vais sûrement m'en prendre beaucoup d'autres dans les semaines à venir et j'aime ça.<br><a href="https://finistere.en-photo.fr/flore" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">finistere.en-photo.fr/flore</span><span class="invisible"></span></a></p><p><a href="https://piaille.fr/tags/mft" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mft</span></a> <a href="https://piaille.fr/tags/Bretagne" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Bretagne</span></a> <a href="https://piaille.fr/tags/Finistere" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Finistere</span></a> <a href="https://piaille.fr/tags/photography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>photography</span></a> <a href="https://piaille.fr/tags/monochrome" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>monochrome</span></a> <a href="https://piaille.fr/tags/proxi" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>proxi</span></a> <a href="https://piaille.fr/tags/crosse" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>crosse</span></a> <a href="https://piaille.fr/tags/fougere" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fougere</span></a></p>
Splines<a href="https://pixelfed.social/discover/tags/SeeFeelTouchHug?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#SeeFeelTouchHug</a><br> <br> In both <a href="https://pixelfed.social/discover/tags/art?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#art</a> and <a href="https://pixelfed.social/discover/tags/engineering?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#engineering</a>, one must be able to both <a href="https://pixelfed.social/discover/tags/see?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#see</a> and <a href="https://pixelfed.social/discover/tags/feel?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#feel</a> things that might not be there (yet).<br> <br> We were able to "see" the outlines of the <a href="https://pixelfed.social/discover/tags/scroll?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#scroll</a> surface from <a href="https://pixelfed.social/discover/tags/imageScans?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#imageScans</a> of <a href="https://pixelfed.social/discover/tags/Vignola?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#Vignola</a>'s sketches in <a href="https://pixelfed.social/p/Splines/793169876757012827" rel="nofollow noopener noreferrer" target="_blank">https://pixelfed.social/p/Splines/793169876757012827</a> and <a href="https://pixelfed.social/p/Splines/793215298082967733" rel="nofollow noopener noreferrer" target="_blank">https://pixelfed.social/p/Splines/793215298082967733</a>.<br> <br> Vignola's images are on a 2-dimensional surface, as are the outlines we extracted from them. We believe the scroll surface also exists, but it is not yet manifest in 3-dimensional space. So, like a visually impaired person, we try to "feel" our way to the scroll surface using the outlines as our <a href="https://pixelfed.social/discover/tags/walkingStick?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#walkingStick</a>.<br> <br> This diagram is identical to that in <a href="https://pixelfed.social/p/Splines/793493316852849994" rel="nofollow noopener noreferrer" target="_blank">https://pixelfed.social/p/Splines/793493316852849994</a> but with the rear ends of the horizontal <a href="https://pixelfed.social/discover/tags/primaryCurves?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#primaryCurves</a> marked with R1, R5, and R3, which are paired with F1, F5, and F3, respectively.<br> <br> We know that the scroll surface must <a href="https://pixelfed.social/discover/tags/touch?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#touch</a> the tangent points T1, T2, and so on in front, as well corresponding tangent points in the rear (not shown here to reduce clutter).<br> <br> In <a href="https://pixelfed.social/p/Splines/792906324854792619" rel="nofollow noopener noreferrer" target="_blank">https://pixelfed.social/p/Splines/792906324854792619</a>, I mentioned that a scroll starts with a volute in front and is <a href="https://pixelfed.social/discover/tags/modulated?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#modulated</a> by as many as six volutes of different shapes and sizes as it reaches the back, with the scroll surface tightly hugging the volutes at EACH contact point in ALL 3 dimensions. In other words, it is not sufficient for the scroll surface to "touch" the <a href="https://pixelfed.social/discover/tags/volute?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#volute</a> <a href="https://pixelfed.social/discover/tags/spirals?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#spirals</a> just in the front and rear. It must also "hug" the intermediate <a href="https://pixelfed.social/discover/tags/modulatingSpirals?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#modulatingSpirals</a>. I will first show this technique with 4 modulating spirals using rectangles M, N, P, Q, and R as their frame, and add more later on.<br> <br> Intuitively, we know that if we use curve F3-R3 as our walking stick on the straight vertical extrusion of that curve, we will feel the scroll surface *somewhere* on that extrusion along every point from front to back. We can narrow it down further by excluding portions above and below as we approach rectangle R in the rear.
Ramesh #NotGoingBack<p>⬆️ <span class="h-card" translate="no"><a href="https://mastodonapp.uk/@Carlbovis" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>Carlbovis</span></a></span> </p><p>Convince me that classical <a href="https://mastodon.social/tags/architecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>architecture</span></a> and <a href="https://mastodon.social/tags/design" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>design</span></a> were not influenced by <a href="https://mastodon.social/tags/nature" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>nature</span></a>. </p><p>For context, compare the picture of <a href="https://mastodon.social/tags/ChaffinchWings" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ChaffinchWings</span></a> and tail in the previous post to the <a href="https://mastodon.social/tags/volute" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>volute</span></a> and the <a href="https://mastodon.social/tags/frieze" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>frieze</span></a> in the sketch below which shows the classical <a href="https://mastodon.social/tags/Entablature" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Entablature</span></a>, <a href="https://mastodon.social/tags/Capital" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Capital</span></a>, and neck of the <a href="https://mastodon.social/tags/ColumnShaft" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ColumnShaft</span></a> in the <a href="https://mastodon.social/tags/IonicOrder" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>IonicOrder</span></a>.</p>