I tried to find out the heights of OTMAA by using applied mathematics. The only way is to use proportions. But of course, if conditions allow us to do it. We have several problems. To start by mentioning the idealistic conditions. At first, we must have two important parameters – correct years of the photo (later I found out that I had mislabeled many photos), and either one of parents (Nicholas or Alexandra) with one of OTMAA. When we find these photos, we must make sure that they are standing at same feet line. (reason – as the objects are nearer to camera (compared to other object), they look taller/bigger than another one, so the measurements (done by my ruler) turns supernatural). Then, we have to dismiss high heels of Grand Duchesses’, or simply to take off those centimeters. ‘And of course, they must stand, no bending or facing down permitted’. As well as for the hats, it is not so hard to recognize the upper lines of foreheads/tops of heads.
So, may I take Nicholas’ height to be 166 cm (median result, according to the Forensic results done in 90s, the length of Body No#4 is to be between 165 and 170 cm long, and it is 166,5 cm), while Alexandra’s one is to be 167 cm. In their engagement photo taken at Coburg in 1894, she was, and indeed looked taller than him. So, one centimeter plus/minus doesn’t change things drastic. Because, things are very relative, and many factors take part in whole story. When we discover at least one correct height of any of the IC, we can use it to compare with others’. I managed to make some oriental results (throughout the years) we can count on – since Imperial Children grew up increasingly, all expecting the Anastasia, while Olga stopped growing that much visible, (she was the oldest) sometime in 1915/6.
I got some contradictions – it is sign of mislabeling the year, or even my bad eye. I once got Aleksei’s height to be 130 cm in 1912, while in 1913 125 cm. Of course, something was wrong. I tried over and over again.
Now I can freely say that photos what fulfill all those mentioned conditions are rare, to find correct year, standing in full line, also in same feetline, whole bodies, without extra clothes, like hats, high heeled shoes, caps and the rest are.
In the year 1908 (using Lanie’s label from
www.livadia.org), where the Empress stands with OTM on the balcony a AP, only Maria is standing in the same feetline as Alexandra does). For same year, I measured Alexei’s height with Nicholas’ one while being reviewing the Standart in 1908. (I remember source comes from GARF).
1908
Alexei 103 cm
I also may add another results (they are highly wrong, simply because they contradict with results from 1909/1910, which are much more precise)
Olga 146 cm
Tatiana 144 cm
Maria 132 cm.
Even not all conditions from this one are fulfilled!
1909 / 1910 
Used Nichoals’ photo with all of the IF standing in same row, taken by Empress at the AP.
Olga 153 cm
Tatiana 140 cm
Maria 130 cm
Anastasia 119 cm
Alexei 111 cm
Now
1912 comes. I used two photo shoots – from Borodino celebrations in August (to find Alexei’s height from the year out) and from The White Flower Festival held on April 23rd 1912 at Yalta. Tatiana took over Olga, became taller than her.
Olga 150 cm
Tatiana 156 cm
Maria 143 cm
Anastasia 129 cm
Alexei 115 cm
In
1913, thanks to kind Sarushka’s post in which she gave us the measurements of Big Pair’s Court Growns, I calculated their heights to be 158 cm for Olga and 163 cm for Tatiana. We see, Olga stops growing, while Tatiana continues increasingly. Soemthing is indeed odd with measurements of their Regiments uniforms.
It is hard to find 1913 photo with other members of family, unless conditions are harmed, which they are. I can only be sure of OT heights -- as well during Tercentenary celebrations at Moscow, Kostroma, St. Petersburg and in the other cities, Alexei stands in the same feetline as his parents. But it is too risky to try anything. I got something around 125 cm on regarding him, and approximately 145 cm on regarding Anastasia.
1914
(GARF labels the last one to be taken in 1914 actually, Maria began having her hair up before turning 16)
Olga 158, 69 cm, we can take it to be 160 cm (decimal numbers and rule, if the number passes over 5, we 'ring about' one cm more)
Tatiana 163 cm
Maria 158 cm
Anastasia 147 cm
I used formal shoot from Livadia (or AP) from the spring of 1914, comparing another one photo with Alexandra’s height. Most likely I counted Anastasia’s heels, so her measurement may be not correct. Alexei is to be done. Maria seems to be grown up, just to be as same height as Olga.
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