References about Islamic weights: (In order of usefulness--not alphabetically by author.)
Goodwin, Tony. "Medieval Islamic Copper-Alloy Money Weights from Bilām d al-Sham" in INR 7 (2012) pages 167-180. 25 weights pictured throughout and another 23 on plate 18. About half are these types of polyhedral weights. Available from Academia.edu:
https://www.academia.edu/23458901/Medieval_Islamic_Copper_Alloy_Money_Weights_from_Bilad_al_Sham
[WWOCM] Holland, Lionel. WWOCM Chapter 8. "Islamic Bronze" 2009. [11 unnumbered pages. The best source I know of] Available on Academia.edu:
https://www.academia.edu/3596498/WWOCM_Ch_8_Islamic_Bronze
Holland, Lionel. "Islamic Bronze Weights from Caesarea Maritima," ANSMN 31 (1986) 171-201 and plates 33-36.
https://www.academia.edu/3542895/Islamic_Bronze_Weights_from_Caesarea_Maritima [Page 182 gives the numbers of each type]
(This artcle has photographs of 13 dirham weights and 4 dinar "discoid" weights shaped like these. In addition, it has 4 (not truncated) cubes, 7 small discoid dinar weights, 5 small brick-shaped weights, and then 58 small brick-shaped weights with some inscription.)
Holland, Lionel. Weights and Weight-like Objects from Caesarea Maritima (WWOCM) 2009. Chapters 1, 2, 3. Available on Academia.edu:
https://www.academia.edu/3596231/Weights_and_Weight_like_Objects_from_Caesarea_Maritima_WWOCM_Chapters_1_2_3
Balog, Paul. "Islamic Bronze Weights from Egypt," Journal of the Economic and Social History of the Orient, 1970, pp. 233-255, available on Jstor: https://www.jstor.org/stable/3595979 [27 images, mostly of barrel-shaped weights. The imporantance is that they are inscribed (many weights are not) and attributed. The legends are given in modern Arabic, but not translated, although the attribution to a particular ruler presumably comes from his name being inscribed on the weight.]
Schultz, Warren and Haim Gitler. "A Mamluk bronze weight in the Israel Museum, with further comments on this rare metrological species," AJN 12 (2000) 205-214 and plates 27 and 28. [A 5.94-gram (2 dirham) square weight with a lion on each side. Mamluke weights were almost unknown, and metal Mamluke weights unknown from Egypt, but a few have been found in Syrian provences and Mamluk's may have used glass weights. Schultz thinks they were used to weigh precious-metal coins which were of very irregular weights at the time.] It is on his Academia.edu page: https://www.academia.edu/81495644/A_Mamluk_Bronze_Weight_in_Israel_Museum
Schultz, Warren. “Islamic Bronze Weights from the Vicinity of Aleppo [Syria].” Al-Sikka: Online Journal of the Islamic Coins Group 2.3 (2000). ISSN 1496-4414. [5 polyhedral and two flats weights illustrated, none with inscriptions. 29.05, 14.15, 14.24, 14.34 (all much like the 10- and 5-dirham polyhedral pieces on these pages) and flat weights with bird's eyes of 2.84 and 2.93 grams. It is on his Academia.edu page: https://www.academia.edu/81567273/Islamic_Bronze_Weights_from_the_Vicinity_of_Aleppo]
Schultz, Warren. "Mamluk Metrology and the Numismatic Evidence," Al-Masaq, Vol. IS, No. I, March 2003, pages 59-75. [No images of weights. "the earliest truly Islamic coinage, established after the reforms of the Umayyad caliph 'Abd al-Malik b. Manvan (65-85/1685-1705), consisted of silver dirhams of an ideal weight (also called a dirham) equivalent in modern terms to 2.97 grams, and gold dinars struck to a mithqal weight unit equal to 4.25 grams.' However the terms dirham, dinar and mithqal, were subsequently applied to coins and weight units that often were very different from this "classical" case." He notes [p. 60] that Mamluk records and literature do not help with weights and "anyone interested in the smaller metrological units of the Mamluks [AD 1250-1517] must turn to the surviving numismatic evidence." "When gold dinars vary in weight from 2 to 20 grams, and silver dirhams from less than one to more than 6 grams, it is difficult to argue that these [Mamluk] precious metal coins were manufactured to a weight standard." [p. 61] "It is known from the contemporary literary evidence that the Mamluks utilized weight units called the dirham and the mithqal in their monetary system. ... the coins and weight-like objects examined above indicate that the values of these units in Mamluk Egypt were slightly higher than the "classical" values of 2.97 and 4.25 grams, respectively. The scanty evidence of the bronze weights, however, suggests that at least for the dirham, the Syrian weight amount was slightly lower than the Egyptian." [p. 69, 72] It is on his Academia.edu page:
https://www.academia.edu/77174201/Maml%C5%ABk_Metrology_and_the_Numismatic_Evidence
Schultz, Warren. "Additional Examples of Medieval Islamic Copper Alloy Weights," Journal of the Oriental Numismatic Society, 212, Winter 2015, pages 5-6. [Seven weights illustrated, six bricks (one with the inscription "'Imrān") and one discoid. Weights and dimensions of 20 more bricks given. It is on his Academia.edu page: https://www.academia.edu/81567273/Islamic_Bronze_Weights_from_the_Vicinity_of_Aleppo ]
Hendin, David. Ancient Scale Weights. Hardcover. 239 pages. These polygonal Islamic weights are on pages 225-233, #411-457. [Almost all of his information on polyhedral weights cites Holland, but Hendin has other shapes, too.]
On-line resources:
An large online database of ancient and Byzantine weights, "Pondera online": https://pondera.uclouvain.be/ [Apparently this intends to be a major site, but it has no useful commentary yet.]
"Balance Weights in the Collection of the Anatolian Civilizations Museum in Ankara" by Oğuz Tekin
https://journals.openedition.org/anatoliaantiqua/383?lang=en [Many of the illustrated polyhedral weights were found at Osmanyie at the northeast corner of the Mediterranean Sea.]
A collection of weights (not all polyhedral):
https://www.forumancientcoins.com/gallery/thumbnails.php?album=5252
Miles, George C. Early Arabic Glass Weights and Stamps, a supplement, ANSMNM #120. 1951. Cardcover. [Discusses only early glass weights, some of which explicitly mention pharmaceutical products.]
References of lesser relevance.
Rebsrock, Ulrich. "Weights and Measures in Islam," in Encyclopaedia of the history of science, technology, and medicine in non-Western cultures. 2008, pages 2255-2267. Available at Academia.edu:
https://www.academia.edu/26399908/Weights_and_Measures_in_Islam?email_work_card=title
[No discussion of these polygonal weights. This is about the relationships between named units, not the physical artifacts. Most weights discussed theoretically are for dinars, that is, gold, not silver dirhams. The measures were different in different parts of the Islamic world. Maybe the locations and time-periods of these polygonal weights could be inferred if we knew the silver weight standards in various locations at various times.]
Bendall, Simon. Byzantine Weights: An Introduction. 68 pages. Paperback pamphlet. [This work does not consider Islamic polygonal weights]
Go to the main page on Islamic polyhedral weights.
Go to the page on Islamic flat weights with legends.
Go to the main Table of Contents for this whole educational site.