// 黑點P的漂游 Drift of the black point P

一張白紙上有固定的兩個黑點F1和F2，還有一個游移不定的黑點P。黑點P被F1和F2拉扯著：點P到F1的距離與其到F2的距離之和始終恒定。黑點P在這樣的束縛下游蕩的軌跡被稱為“橢圓”。

There are two fixed black points F1 and F2 on a piece of white paper, and a black point P that is indeterminate. The black point P is pulled by F1 and F2: the sum of the distance from point P to F1 and its distance from F2 is always constant. The trajectory of the black point P that sways downstream of such a restraint is called an "oval".

// 迷人之處？ Fascination?

數學中的橢圓由兩個焦點F1和F2以及動點P定義。在橢圓形的渦旋中，邊緣濺起的白色水沫離漩渦中心時近時遠，與此同時，當它們靠近F1時就遠離了F2，靠近F2時又遠離F1。這樣此消彼長的矛盾變化是橢圓渦旋比正圓渦旋更加迷人的特質。

The oval in mathematics is defined by two focal points F1 and F2 and the moving point P. In an elliptical vortex, the white water splashing from the edge is near and far from the center of the vortex, and at the same time, when they are close to F1, they are far away from F2, and when they are close to F2, they are far away from F1. This contradictory change is what makes the elliptical vortex more fascinating than the perfect circular vortex.

攝影?羅朗景觀?山兮建筑空間攝影

我們被工作與生活拉扯著；

被幻覺與現實拉扯著；

被本我與超我拉扯著；

日子一天一天過，被束縛的我們走過一個又一個橢圓。

橢圓形的生命軌跡大大小小，寬寬窄窄……

卻總有一個絕對的中心，這是本真的自我，是靈魂的溫床，是生命力的泉眼。

We are struggled between work and life;

Between Illusion and reality;

Between id and superego;

Day after day, being bound, we walked one after another ellipse.

The life track of the oval is large and small, wide and narrow……

However, there must be an absolute center, where we can find the true self, the hotbed of our souls and the spring of vitality.

而我們的生命里總是充滿矛盾：工作與生活，偽裝與真實，欲望與道德…

矛盾的F1和F2已然恒定，真實的自我卻穩居漩渦中心。

But our lives are always full of contradictions: work and life, disguise and truth, desire and morality...

The contradictory F1 and F2 are already constant, but the true self is at the center of the vortex.

// 近日點  Perihelion

“近日點”是地球最靠近太陽的位置。

在我們與生活和工作此消彼長的拉鋸中（或者在與生命中其它不可或缺的矛盾的拉鋸中），漩渦中心的泉眼就是我們各自的太陽。

The "perihelion" is where the location of the earth is the closest to the sun.

In our twists and turns with life and work, (Or in a saw with other indispensable contradictions in life) the spring of the vortex center is our own sun.

生命總不如正圓般完美，既然矛盾是生命的常態，愿我們總能抵達近日點，平衡我們同F1和F2的距離，在或寬或窄的橢圓軌跡上，始終銘記泉眼深處的“自我”。

Life is not as perfect as a perfect circle. Since contradiction is the normal state of life, we can always reach the nearest point, balance our distance from F1 and F2, and always remember theself in the depths of the spring on the wide or narrow elliptical trajectory.

//  技術難點 Challenges

根據我們以往的經驗，漩渦多發生于正圓，因為F點的距離一樣，圓弧是等分均衡的，旋轉的速度也是均衡的，可形成穩定的漩渦效果。如果要在橢圓的容器中實現漩渦的效果，由于F點的距離不一樣，圓弧不均衡。漩渦能旋轉的起來嗎？

According to our previous experience, the vortex mostly occurs in aperfect circle. Because the distance of the F point is the same, the arc is equally divided, and the rotation speed is also balanced, which can form a stable vortex effect. However if you want to achieve the effect of the vortex in the elliptical container, the arc is not balanced because the distance of the point F is different. Can the vortex spin up?

為了模擬達到旋轉的效果，我們在設計之初就做了一個1:10的橢圓形實體模型，來驗證可行性。通過實體模型，我們解決了橢圓旋轉的問題。沒錯，可以旋轉。

In order to simulate the effect of the rotation, we made a 1:10 elliptical solid model at the beginning of the design to verify the feasibility. Through the solid model, we solved the problem of elliptical rotation. That's right, it can rotate.

攝影?羅朗景觀?山兮建筑空間攝影

但是，通過實體模型卻發現了另外一個技術難點。橢圓F點的距離天生不一樣，意味著旋轉的速度始終無法均衡。就像，當你在一條直路上急速開車，突然拐彎，形成飄移。水也是一樣，水容易在短邊“拐彎”的時候，“飄移”出去。

However, another technical difficulty has been discovered through the physical model. The distance of the elliptical point F is inherently different,meaning that the speed of rotation is never balanced. Just like when you drive fast in a straight road, you suddenly turn and form a drift. Water may have the same problem, when water is “turning” on the short side, it “floats” out.

在實際建造中，由于尺度大大超過實體模型。假設速度和水量得不到平衡，容易瞬間產生水的堆積，勢必會產生“飄移”，水景的美感將會大打折扣。

In actual construction, the scale is much larger than the physical model. Assuming that the speed and the amount of water are not balanced, it iseasy to produce water accumulation in an instant, which is bound to produce"floating", and the beauty of the waterscape will be greatly reduced.

//  技術設計及控制 Solutions

基于對問題充分的思考，在技術階段的施工圖中，我們著重解決一些問題。

Based on the full consideration of the problem, in the construction drawing of the technical stage, we focus on solving some certain problems.

第一，我們根據橢圓的造型，設置了更加利于均衡上水的出水口位置。我們向景觀設計顧問羅朗建議了土建的做法，他們也對土建的做法進行了優化，確保功能的實現和完成面的美觀。

First, we set the position of the water outlet that is more conducive to balancing the water according to the shape of the ellipse. We advised the landscape design consultant LAURENT on the civil construction practices. They also optimized the civil construction practices to ensure the realization ofthe functions and the aesthetics of the finished surfaces.

第二，我們考慮了速度可以調節的閾值范圍，為后期調試詳盡可能性。每個出水口的速度調節是這個項目的重中之重，難中之難，所以我們設置了可供調節的多種速度組合模式。在調試階段，我們對多種速度疊加的模式進行了測試，最終選擇了最滿意的一種。

Second, we considered the threshold range over which the speed can be adjusted for detailed possibilities for later commissioning. The speed adjustment of each outlet is the top priority of this project, which is also the most difficult one, so we set a variety of speed combination modes for adjustment. In the debugging phase, we tested a variety of speed superimposed modes and finally chose the most satisfactory one.

第三，我們考慮了基本無旋動的模式。即便在漩渦不開啟的時候，水池也能維持相對靜止的狀態，并有一點微微動態的旋轉。

Third, we considered a mode that is basically non-rotating. Even when the vortex is not turned on, the pool can maintain a relatively static state with a slight dynamic rotation.

// 橢圓水池建造的土建問題

Civil engineering problems in the construction of elliptical pools

橢圓形水池的土建施工難度原本就高，加之漩渦水池的雙層構造也很復雜，還要解決防水和嚴格的水位問題，無疑對園林施工單位帶來了很大的挑戰。如果橢圓的土建及裝飾面等做不到位，對景觀美觀上會帶來不利影響，更為深遠的影響是：會影響漩渦效果的形成。

The difficulty of civil construction of the elliptical pool is originally high, and the double-layer structure of the whirlpool is also very complicated. It also solves the problem of waterproofing and strict water level, which undoubtedly brings great challenges to the garden construction companies. If the civil and decorative surfaces of the ellipse are not finished perfectly, it will have an adverse effect on the aesthetics of the landscape. The far-reaching effect is that it will affect the formation of the vortex effect.

土建的水池才是漩渦的容器，容器的問題多，漩渦自然也不可能形成。如果水池不圓滑，會產生阻力；如果水池頂的標高有幾毫米的誤差，都會加重水的“飄移”。

The civil engineering pool is the container of the vortex. There are many problems with the container, and the vortex is naturally impossible to form. Resistance may occur if the pool is not smooth enough and if the elevation of the top of the pool has a few millimeters of error, it will increase the "floating" problem of the water.

// 建造的過程  The process of construction

實際建造過程中，得力于業主世茂集團山東地區公司，景觀設計單位羅朗，園林總包百年園林的全力支持和積極配合，素水團隊的專業付出，為這個項目呈現完美的效果保駕護航。

Thanks to the full support and active cooperation of Shimao Group, landscape  Design Laurent, the landscape contractor Bainian. as well as the professional dedication of Sushui Design team, the presentation of this project is proved to be a great success.